Buy Essay Online Cheap -
Purdue Online Writing Lab (OWL) - …
business plan plus A Home-Based Business Online. Best New Business Ideas, Opportunities and Strategies for Success! Join 15,000 subscribers! Putting the Plan Back In Your Business Plan. © 2013 Elena Fawkner. Research Assistance. Very little that is worthwhile in life happens by accident. Cause and effect dictates that worthwhile results come from. worthwhile efforts and the converse is conclusions also true.
It's. basic goal-setting theory. Set the goal, put in place. the steps that will eventually lead you there, carry them. out and you will eventually reach your destination. Think. of a business plan as a goal-setting tool for your business. There are two main purposes for writing a business plan.
The first is to help you to manage your business. The. second is to raise capital. The focus of the business plan. for each purpose is different. In this article, we are. focusing on the business plan as a tool to help you manage. There are many reasons why a business plan is a valuable. tool when it comes to managing your business. Most. fundamentally, it helps you 'set your sail' in assistance, the direction. you want your business to go.
Rather than drifting along. aimlessly, being tugged this way and that by random currents. and puffs of wind, a business plan helps you steer a. predetermined course and stay on track. A business plan also facilitates focus. It can help you. keep your attention where it is required . on those steps. Letter Graduate Accountant. you need to take to bring you closer to your objectives. Writting. This creates a results-oriented mindset which helps break. the inertia that can result from a lack of focus. The process of creating a business plan can help you to. anticipate hurdles and threats to your business and to. formulate actions to overcome adverse contingencies. A business plan also serves to keep your business on track. by reinforcing your vision for your business. It acts as. a check and a balance, something against which to weigh. a proposed action.
Does the action further the purposes. you have outlined in your business plan? If so, go for it. If not, it is probably just a distraction. Things to Think About In Your Business Plan. A good starting point to begin thinking about the elements. of your business plan is to carry out a SWOT analysis (what. are your business's strengths, weaknesses, opportunities. The strengths you identify will become the foundation for. your competitive focus. Dissertation. You want to think of ways to exploit. Assistance. your strengths here as these are what will set you apart. from your competition. For example, you may be particularly. good with people. Use this talent in the customer service. aspects of your business to amy chua essay wall journal distinguish yourself from your. Writting Assistance. competition who may be lacking in this area. By identifying weaknesses, you can plan for essay wall journal, ways to assistance compensate. for them.
For example, you may be in a business where you have. to teaching wait for some time to be paid by research writting assistance, your clients and as a result. you may be vulnerable to cash flow shortfalls from time to time. By recognizing this potential weakness in letter for fresh graduate accountant, your business, you. can take steps to research writting assistance minimize cash flow difficulties by teaching, arranging. for an overdraft facility with your bank. Or introducing an. incentive for clients to pay you earlier such as an early. The opportunities you identify become the cornerstones for. your business development. Research Assistance. What opportunities exist that you. can exploit in for phd, the next 12 months to develop your business? Think here in terms of writting things like technological advances. that you are in a position to exploit but your competition is. not, possible joint venture partnerships, or the teaching exclusive. rights to XYZ patent that you have negotiated. Finally, the research writting threats you identify become the foundation for. your contingency planning. By recognizing the threats that. exist to the future health of your business before they. become a reality, the better placed you will be to implement. contingency plans in bibtex dissertation, case the worst happens and the better. prepared you will be to research ride out the storm.
Once armed with your SWOT inventory you can begin to. refine your thinking in terms of coming up with an political views essay, overall. strategy for your business. Remember, you want to exploit. your strengths and opportunities and minimize the impact of. Writting Assistance. your weaknesses and threats. Once you have your overall business strategy in front of you, you are then in a position to amy chua essay reformulate the elements of your. SWOT analysis into specific goals and objectives. Write. objectives to support every goal for every area of your.
business. Think about your products and services, customers, competition, image, customer service, marketing and writting, advertising, financial objectives and the like. For example, one of your. goals may be to introduce a second or a third product line. in the coming twelve months; or to launch a new advertising. campaign or to bibtex for phd negotiate a more favorable line of credit with. By the time you are done, you will be very clear in your. own mind where you want your business to go and what you. need to do to get there. In turn, this awareness will help you. to recognize new opportunities as they present themselves. Finally, bear in mind that a business plan is just that, a. Research Assistance. plan.
It is not carved in governor's school, stone and, as with any plan, be. prepared to be flexible and make changes as circumstances and. priorities change. Work with your business plan and treat. it as a living, breathing, organic part of your business. By. constantly keeping your plan in mind when making business. decisions you can rest comfortably, knowing you are steering. your business in the direction YOU want it to writting go. Newsletter Via Email.
This article may be freely reproduced provided that: (1) you. include the following resource box; and (2) you only mail to a. Political Essay. Elena Fawkner is editor of Home-Based Business Online. Best business ideas and opportunities for your home-based or online business.
Custom Essay Writing Service -
Research Mentoring, Data Analytics - …
My Ambition To Become Air Hostess Essays and writting Research Papers. My ambition in life essay to become a collector Free Essays on My Ambition In Life To . Political? Become A Collector for students. Use our papers to help you with yours. My Ambition Become a Collector: exaggeration of your dream and writting thoughts of hero essay, how you want to be in your life. My ambition is to become an IAS officer. Though I. My ambition in writting, life is to become a teacher. There are a number of reasons for my choice. First, about 35 per cent of the people in India are illiterate. They are. Plan essay thirsha Websites.
Essay , Writing 1073 Words | 4 Pages. Intelligence without ambition is a bird without wings. Solicited Application? Salvador Dali actually , i wanted to become a doc. since i was 4 years . old.my grandfather was a landlord. Research Writting? i always used to ask him `when i become a doc. will u give me some of your land to construct my clinic?` he used to smile and amy chua essay wall say`why not dear.` then i would say `grandpa then i will certainly treat you after i become a doc. and i will not charge you a single penny` and he used to enjoy this childish talk with me.however i and my grandpa were. AIM Investment Management , People , Person 1022 Words | 4 Pages. My ambition is to open and run a small fine dining place doing business at a level of excellence whereby it could be revered in writting assistance, . the Michelin Guide. Views? Published every year in over a dozen countries, the Michelin Guide is the oldest and research best-known European hotel and restaurant guide which awards a star to those deserving restaurants listed in its famous Red Guide. Bibtex? The guide awards one to assistance three stars to a small number of restaurants of outstanding quality. One star signifies a “very good cuisine.
Cooking , French cuisine , Gault Millau 759 Words | 3 Pages. Essay on I Want to Become a Air Hostess. | • LANGUAGES KNOWN: HINDI,ENGLISH • MARITAL STATUS: single • NATIONALITY: INDIAN • . SEX: MALE HEREBY DECLARE THAT THE INFORMATION GIVEN ABOVE IS CORRECT TO THE BEST OF MY KNOWLEDGE. PLACE: ………….. Tragic Essay? DATE: ……………. Research Writting? SIGNATURE ----------------------- [pic].
.NET Framework , Microsoft , Microsoft SQL Server 307 Words | 4 Pages. access for airlines to new routes throughout Europe. Previously many routes have been protected by governments to prevent competition with their national . carriers. One difficulty in solicited graduate, implementing this is the ability of assistance, air traffic controllers to cope with more flights; European air traffic control is not fully co-ordinated and is overstretched. Governor's School Essay? Greater freedom for writting assistance, airlines to set their own seat prices, within certain protective safeguards. This did not imply that prices would fall quickly because. Air France , Airline , Avianca 1357 Words | 4 Pages. He is a ruthless king who has people killed so he can stay in power, this ambition represents violence.
In the beginning of the letter for fresh graduate play, Macbeth . is a kind person who would never kill anyone for power. After his wife convinces him to kill Duncan, Macbeth's life will never be the same ever again. Every murder he commits will haunt him until he is dead and the unbearable guilt will destroy him and his wife. Macbeth slowly becomes accustomed to killing and does it more easily and without remorse. Macbeth. Duncan I of Scotland , KILL , King Duncan 916 Words | 3 Pages. ?Namrata Savaliya “ Ambition ” An ambition is an eager, and sometimes an excessive, desire for creation, honor, . ascendancy, power, or the attainment of something. Every person is said to have his or her anomalous ambition . One might have dream to research writting be rich, or having a villa. On the teaching essay conclusions other side, one wants to become famous, a scientist or a doctor. Research Assistance? Similarly, I have too my own ambition . I don’t want to become wealthy; I don’t want to get any fame. My aim of life is very simple and bibtex for phd it is to serve.
Life , Mohandas Karamchand Gandhi , Poverty 1147 Words | 3 Pages. MY AMBITION IN LIFE Life affords no higher pleasure than that of surmounting difficulties, passing from one-step of success . to research another forming new ambitions and amy chua wall journal seeking them gratified. – Samuel Johnson In the life of research assistance, mankind one has his own dreams and wishes. The dreams transform in to vibrant thoughts concerning about his career and future. No one can exactly predict what role he has to bibtex for phd play in research assistance, the society as the. Dream , Indian Administrative Service , Need 680 Words | 2 Pages. My life I was raised in a small town called Joao Pessoa by my grandmother .The town was very small that everyone knew . their neighbors and the town. At this time as was single and political views essay living in Brazil. We had a very nice house, which I had my own room and I loved it. I had everything in my room. But was a especial place that I like about writting assistance my room, It was where I keep all of teaching conclusions, my favorite things, my craft supplies, favorite CD’s, books, magazines, cameras, photos, and writting assistance my diary. A place to escape.
Dream , Family , High school 1460 Words | 4 Pages. better, be successful? We are talking about ambition . And now I am going to essay show you how do ambition affect people on research assistance their life. . There are many definitions of governor's school essay, ambition . It depends on the way people think of it. www.oxfordictionaries.com has defined ambition as a strong desire to do or achieve something. Now let take a look about how the famous people relate to ambition . Research Writting? Elvis Presley – the King of Rock and greek tragic hero Roll said that: ‘’ Ambition is a dream with V8 engine``. Can you imagine. Bill Gates , Elvis Presley , Ho Chi Minh 1340 Words | 4 Pages. and so my mother told me, when her second child came out to research this world while my father was so excited waiting outside the . delivery room of AFP Medical Center. Dad told me that from that delivery room, he never lost sight of his first son and followed the nurses until the baby was brought to the Nursery, eagerly monitoring every activity up to the time the bibtex dissertation tag was attached naming me as ‘baby boy Brotonel’. I am CPT BRYAN BISCOCHO BROTONEL O-14294 PAF and this is the Humble Beginnings of My Air Force. Enlisted rank , High school , Ninoy Aquino International Airport 2674 Words | 7 Pages. The Pursuit of Ambition in Macbeth Due date 15/03/2013 What fuels Malcolm's interest in defending Scotland?
Do his actions up to the final . battle indicate that he's prepared to be King? Is he ambitious? What is the difference between him and Macbeth, if they’re after the same throne? Ambition : an writting assistance, earnest desire for some type of achievement or distinction, as power, honor, fame, or wealth, and the willingness to strive for its attainment. Mainly three themes: lady Macbeth, Macbeth, Malcom what. Duncan I of Scotland , King Duncan , Macbeth 1894 Words | 5 Pages. Short Essay On My Aim In Life To Become A Doctor. Short essay on my aim in life to become a doctor Short essay on my aim in bibtex for phd dissertation, life to become a doctor . Research Writting Assistance? . Short essay on my aim in life to become a doctor All PDF An essay on my aim in life , Essay W riting Service W ebsites Free essay writing in english my aim in life composition. Amy Chua Wall Street? Short Essay on My Aim in Life - Important.
Some doctors are specialists, such as heart specialist, eye specialist etc. Writting? a doctor who Short Essay on My Aim in Life Short Paragraph on essay conclusions My Mother for Kids. Research Writting? Thats my aim in life. Essay , Goal , Writing 1239 Words | 3 Pages. Macbeth begins to think about killing Duncan and taking the throne by force. Macbeth becomes concerned with the witches prophesies and wants to . learn more, as we can see from what he says after they leave, Would they have stayed! (1.3.82).
After this, he begins thinking about his desire to teaching essay conclusions be king. Assistance? We can see that he is thinking about murdering Duncan from amy chua essay wall street, his soliloquy, Stars, hide your fires, /Let not light see my black and deep desires; (1.5.50-51). Macbeth has begun his path to corruption. . Banquo , Fleance , Macbeth 1365 Words | 4 Pages. Haddaoui Mehdi MY AIR FORCE STORY ESSAY SOS CLASS 9U CAPT ROOT Flight 04 NOVEMBER 2004 When . I was five years, my father took me a picture in which I was rendering salute, he laughed and said to writting assistance me “you look like a little soldier”. He predicted a military life for me at wall that time.
Thirteen years later I found myself as a cadet in the Air Force Academy and it wasn’t by accident, but a planned project since this choice gets along with my passions and writting tendencies. Political Views Essay? Until. Battle , Logistics , Military 1094 Words | 3 Pages. ?Nicolette Roberts Mr. Forrest Roth English 101-068 1 December 2011 Another Day as a Hostess In America today, there are many . Research Writting Assistance? jobs that I could have choose from, from almost impractical jobs, like a super star or a singer, to teaching an easy job, like answering phones as a secretary, but there is only one job for assistance, me. It may not be the job that I love or want to have, but it may be a well-paying job. In picking what job I wanted, I had three choices: to work and be happy, to be a laborer and. Busboy , Employment , Job 1374 Words | 3 Pages. My Ambition Is to Become an Enginer. also known as Static Electricity.
1.1.1 Two kinds of charges (i) If a glass rod is rubbed with a silk cloth, it acquires positive charge while the silk cloth . acquires an greek tragic hero essay, equal amount of negative charge. (ii) If an ebonite rod is rubbed with fur, it becomes negatively charged, while the fur acquires equal amount of positive charge. This classification of positive and negative charges were termed by research American scientist, Benjamin Franklin. Thus, charging a rod by rubbing does not create electricity, but. Electric charge , Electric current , Electric field 33272 Words | 130 Pages. By: Luca What is ambition ? In the dictionary ambition is defined has “an earnest desire for dissertation, some type of achievement or . distinction, (ex) power, honor, fame, or wealth.
The willingness to strive for its attainment”. From this definition I do not even believe that Macbeth really had any ambition of his own. I do not think his ambition was not Macbeth’s greatest weakness but more is gullibility and being able to be swayed into research assistance, the directions of others. Application? In the story of Macbeth of Macbeths miss. Causality , Lady Macbeth , Macbeth 967 Words | 3 Pages. ? AMBITION Ambition and its pre-dominant theme of writting, acquisition, is being touted as the teaching essay new ideal of an increasingly materialistic . world. Research? Prescribed as an indispensible prerequisite for ‘success’ it has long erased the governor's virtue of aspiration from the minds of our youth.
Characterised by a subtle yet firm will to achieve or become , aspiration advocates the pursuit of excellence as opposed to mere success. Can ambition and aspiration be seen as diametrically opposite manifestations of the writting assistance souls needed. Alfred, Lord Tennyson , Aspiration , Mohandas Karamchand Gandhi 1063 Words | 3 Pages. ?Topic #3 Victor’s driving, obsessive ambition ruined his life and led to hero essay his own death and the murder of research, his loved ones. Illustrate how . ambition affects not only essay journal Victor and Robert Walton, but also the creature in Frankenstein. Thesis Statement: Ambition and the quest for writting assistance, knowledge is a fatal flaw in the characters of Victor Frankenstein, Robert Walton, and the creature.
In Mary Shelley’s 1818 novel, ‘Frankenstein’, a recurring motif of ambition and the quest for knowledge is present among the. Frankenstein , James Whale , Mary Shelley 885 Words | 3 Pages. My Decision To Become A Nurse Kimberly C The University of Texas at teaching essay Arlington College of Nursing In partial fulfillment of . the research assistance requirements of N 3645 Transition to Professional Nursing Part A Jeanean Boyd, Ph. D., MSN, RN January 29, 2012 Online RN-BSN My Decision To Become A Nurse I have been a nurse for over twenty years, first as a Licensed Vocational Nurse (LVN) then as an Associate Degree Nurse (ADN). In this paper I will discuss why I became a nurse, what the governor's school essence of nursing. Bachelor of Science in Nursing , Diploma in Nursing , Florence Nightingale 1371 Words | 5 Pages. Ambition in Macbeth In Macbeth, a play set in writting, Scotland, William Shakespeare wrote a tragedy of a man#8217;s ambition . In . the play, Macbeth is described as a man who has ambitions of conclusions, becoming king. Writting Assistance? After the first part of the wall street journal prophecy by the witches whom he has met returning from battle comes true, he begins to think the second part may also come true, #8220;supernatural soliciting cannot be ill, cannot be good.#8221; The witches have predicted that Macbeth would first become Thane of. Banquo , Duncan I of Scotland , Macbeth 1189 Words | 3 Pages. My immediate goal is to gain admission to the College of Law. I know that I will be able to receive a top-notch education that will allow me . to fulfill my potential as a contributing member of society.
As a young boy, I dreamed of becoming a police officer or a fireman. Of course, many young boys my age harbored similar aspirations. However, I was not attracted to these professions for their obvious action and bravado. What made the people who performed these jobs special to me is that. Alternative dispute resolution , Conflict resolution , Dispute resolution 1058 Words | 3 Pages. My Ambition Is to Become a Collector. pressure, such as straining during a bowel movement, persistent diarrhea or pregnancy. * Internal hemorrhoids are normal structures that cushion the writting assistance . lower rectum. When internal hemorrhoids fall into the anus (as a result of straining), they can become irritated and bleed. * External hemorrhoids are veins that lie under the skin outside of the anus. These veins can burst and views a blood clot can form, causing a painful condition (pile). * Nausea/vomiting — nausea and vomiting are symptoms.
Bile , Digestion , Digestive system 2498 Words | 8 Pages. ? MY AMBITION INTRODUCTION ‘Life without ambition is writting, like a ship without rudder’ Different people have . For Phd Dissertation? different ambitions . Some want to be rich. Some wish to become leaders to research assistance gain honour. Some desire to be great scientists. There are others who are mainly led by a spirit of adventure. Dreaming about touring the tragic hero essay world, desiring to be a celebrity, wanting to research writting assistance be a teacher my goals varied. But all these were short lived. DETERMINING MY AMBITION ‘Intelligence without ambition is a bird without wings. Journalism 665 Words | 2 Pages.
bition to aspiration AMBITION TO ASPIRATION FROM INSPIRING TO BECOMING…….. . “ Ambition educates the senses, calls into action the greek tragic hero will, perfects the physical constitution, brings men into such swift and research close collision in critical moments that man measures man.” Ambition is an eagerness to acquire personal advantage, wealth, power, status. It is an eager and sometimes an exorbitant desire for amy chua essay wall journal, elevation, honor. Goal , Mind 1485 Words | 5 Pages. My ambition in life has always kept changing frequently, like as a dancer, as an artist, a writer or a doctor since I like . biology .But I have realized that by writting assistance just liking something that is related to it cannot assure someone to become that. Every ambition has so many fields to look through to achieve. One may not be successful in all the related paths but can be in at least a few. But now I feel its time for me to have a particular goal to solicited letter reach. I don’t want to be focused completely on it but also.
2006 singles , Better , Lebanon, Tennessee 548 Words | 2 Pages. Every one of you should have an ambition in research writting, life. Solicited Application For Fresh Accountant? Once you have got one, build a strong base and work your way to that . ambition , lectured Mrs. Johnson as she walked back and forth in the front of the room. I could hear a faint snore in writting, the back of the room. Everyone was watching the clock tick towards the amy chua wall end of the writting assistance period. Teaching Essay? She just went on and on about setting goals. I t was boring beyond reason.
I have already heard all this junk in assistance, my past years of school. Even watching a fly sounded much more. Base , Basketball , Defender 491 Words | 2 Pages. MY AMBITION I have heard that, judges are the ultimate in rendering justice and my ambition is to . become a judge, in the Supreme Court of views essay, India. Research? My ambition is based on the belief and solicited letter for fresh graduate presumption that, judges are honest, disciplined and writting unbiased in their behaviour and governor's attitudes towards their subordinates in the office and the people who come to them for help.
If my attraction to this noble position were to become a reality some day, I would do a lot to improve the writting norms for justice in India. Cleanliness , Court , Judge 706 Words | 2 Pages. Explore the Link Between Ambition and Evil in Lord of the Flies and Macbeth. in what way you ask? In ambition . Bibtex For Phd Dissertation? For in our world, Shakespeare’s, and Golding’s, Ambition truly is the source of all evil. Assistance? In . Macbeth, Shakespeare does well to disguise ambition as the true source of villainy, behind the facade that is Lady Macbeth and the witches. Without ambition , there would never be any action, no good, no evil, would Eve have picked the apple from the garden of Eden, without the ambition to gain further knowledge?
The two traits of evil and ambition are well aligned in both. Banquo , Higher Power , Human nature 978 Words | 3 Pages. There is no man without an ambition in life. Some aspire to be rich, many hanker after name and fame and still others crave for power, position . and social status in life. Honour and school position do not last long. Fortune turns like a wheel. I have a strong desire to become a doctor and research serve humanity. I do not want to application letter for fresh graduate become a teacher like my elder brother. A teacher's lot is very hard.
He is writting assistance, overworked but underpaid. He commands no respect in society. Solicited Letter Accountant? The so-called nation-builder cannot make both. Doctor of Medicine , English-language films , Jesus 400 Words | 2 Pages. Theme of research writting, Ambition in hero, Macbeth I have no spur To prick the sides of my intent, but only research assistance Vaulting ambition , which . Teaching Essay Conclusions? o'erleaps itself And falls on the other. 1. Ambition – central to research writting the play- as, coupled with moral weakness, it’s Macbeth’s tragic flaw, causing his fatal errors, the hamertia that brings about his own destruction.
2. It’s unusual – his ambition is a fascinating blend of desire and deep awareness of the full extent of his crime. School Essay? This results in research writting assistance, vacillation. His terrible intent is horrific. An Innocent Man , Choice , Guilt 940 Words | 3 Pages. The Corruption of Ambition The desire for some sort of vigorous achievement: the longing for power, wealth, honor, and fame push many people . to do great deeds but can urge others to do murderous acts. Those who strive to do the unthinkable just to satisfy their ambition often create devastating disasters. Views Essay? William Shakespeare’s The Tragedy of Julius Caesar illustrates how ambition urges people to do atrocious deeds. Writting? The ambition Caesar carries lead the letter accountant conspirators to question whether he is an absolute. Augustus , Cicero , Ides of March 1001 Words | 3 Pages. Ambition “The Prince of Cumberland!
That is writting, a step on which I must fall down, or else o'erleap, For in application graduate accountant, my way it lies. Stars, . hide your fires; Let not light see my black and deep desires. The eye wink at writting assistance the hand; yet let that be Which the eye fears, when it is done, to see.” During Act 1 Scene 4, Macbeth describes his ambition as “black and deep desires.” He expresses the terrible desires that come across his mind. Macbeth is so caught up in his ambition , where he is willing to do anything that. KILL , Macbeth 948 Words | 3 Pages. Ambition is defined as an eager or strong desire to bibtex for phd dissertation achieve something, such as fame or power. In the words of Niccolo Machiavelli, . Ambition is so powerful a passion in research assistance, the human breast, that however high we reach we are never satisfied. Political Views Essay? This quote defines how ambition is never fulfilled, and it will cause people to keep striving for more. Writting Assistance? Ambition in shown in Macbeth when Macbeth strives to become King, after the he hears his prophecy from the letter for fresh accountant weird sisters, and this ends in writting, Macbeth's defeat. Corruption , Duncan I of Scotland , King Duncan 1274 Words | 4 Pages.
How Influential Is Macbeth's Ambition? How Influential Is Macbeth's Ambition In The Progress Of The Play? In 'Macbeth', a play set in Scotland, William Shakespeare wrote a . tragedy of one man's ambition . It is the shortest of Shakespeare’s tragedies, and has a very fast pace. It tells the story of Macbeth's ambition to be king, and the chain of damage he causes by pursuing this ambition . This ambition is the fatal flaw that causes his ultimate downfall. Once Macbeth's lifelong ambition seems to be fulfilled, it causes consequences. Anxiety , Banquo , Duncan I of Scotland 1507 Words | 4 Pages. ? Ambition Essay “Great ambition is the passion of a great character.
Those endowed with it may perform very good or . very bad acts. All depends on the principals which direct them.” - Napoleon Bonaparte. Ambition can be defined as the desire and willingness to strive towards achievement or distinction, the motivation in one’s life, it is one of the key sources to success but ambition can blind one from political essay, determining what’s right and what’s wrong. On the research writting assistance contrary, driving ambition is greek tragic hero, the. Duncan I of Scotland , King Duncan , Light 2124 Words | 6 Pages. ?Macbeth: Ambition Gone Wrong Introduction It’s good to assistance have ambition , as it’s the essay foundation of a successful life. . Ambition means to research have strong desire towards achieving something. Because of essay, this, it’s true that one without ambition will struggle, however sometimes, our own ambitions and writting desires can change us for the negative. Ambition in its nature can tempt obsessive behaviour, which has a destructive nature of solicited letter for fresh graduate accountant, its own. When an research, ambition purely of passion turns into obsession, it ultimately. Claustrophobia , Corruption , Fear 901 Words | 3 Pages. Ambition is an essay, eager and sometimes an exorbitant desire for elevation, honor, power, supremacy or simply the achievement of something.
The . Research Assistance? origin of this word comes from the word “ambicioun” and bibtex dissertation explains the writting yearning for governor's, money and research writting assistance wealth or power in general. Ambition is solicited application letter graduate accountant, basically an instinct. No matter what background or age you are, you are surely ambitious in any way. This eagerness is not only writting assistance a driving force for both individuals and society but could also end in a fiasco. We set our goals and.
American football , Friendship , Goal 1026 Words | 3 Pages. MacBeth vs. Ruthless Ambition Everyone wants to conclusions be on top. People all want respect, many want fame, more want fortune. But this lust for . power is the research writting assistance drive for several changes in people, both good and bad. Many times this desire can overtake a person. They become selfish, greedy, cold, obsessed with power.
Some will do whatever it takes to get to the top, no matter how steep the climb. In William Shakespeare’s The Tragedy of MacBeth, the desire that fills MacBeth’s character corrupts his once. Change , Cognition , English-language films 896 Words | 3 Pages. Everybody has an aim in life. Aim or ambition is the inner desire of man.
No man can do anything in the world if his aim is teaching conclusions, not fixed. So, all . of assistance, us should be very clear about for phd dissertation our aim in life. We may face many difficulties in writting, reaching our desired target, but we have to go ahead at solicited for fresh any cost. Research? Ambitiousness is a dynamic make. Desire is your psychical susceptibleness to greek apply your knowledge, surround, relationships, and personality to accomplish happiness. What is felicity? Compartment that can only.
English-language films , Human 469 Words | 2 Pages. ?A WALK OF FATE My child, You may not know me, but I know everything about you. I know when you sit down and when you rise up. I am . familiar with all your ways. (Psalm 139:1-3) I made so many decisions in every stage of my life. Writting Assistance? Decisions to application graduate accountant discover that God reserves a life full of surprises to fulfill his plan for research, us. Amy Chua Street? Decisions that had influenced and developed my well-being and lead to a place where I am right now. My name is Vic Anthony C Robles.
I was born on research writting October 5, 1981 and raised. Armed Forces of the Philippines , High school , Lipa City 1479 Words | 4 Pages. tooth, I asked my sister, a dentist, to look at greek essay it. “It needs to be pulled,” she told me. Assistance? I frowned, dreading the experience. . My sister sent me for some tissues and I envisioned them soaking up liters of blood from views, my mouth. I closed my eyes and braced myself. I was still waiting for him to pull when I heard my sister say, “I’m done.” I opened my eyes and saw my tooth in research, her tissue-covered hand.
I hadn’t felt anything, and greek tragic essay there was just a bit of blood on the tissues. I thought my sister was a. English-language films , Mother , Mouth 434 Words | 2 Pages. ?Q. The play Macbeth explores the dangers associated with blind ambition . Discuss. Research Assistance? William Shakespeare’s play Macbeth is primarily concerned . with exploring the dangers associated with blind ambition . Shakespeare presents the audience with a character faced with clear moral choices and who is political essay, led down a path towards destruction because of his tragic character flaw, his overarching ambition . We can see this in writting assistance, how easily Macbeth is initially convinced to start down this road by the witches’ prophecy. Conscience , Judi Dench , Lady Macbeth 880 Words | 3 Pages. for kids on my ambition in life by Manish on application letter graduate August 8, 2011 in Example Essays A person without any ambition in . Writting? life is like a ship without a rudder he no destination. He does not have any urge to make a start.
He reaches now’ He is tossed about greek tragic hero essay like a straw in the wind. He achieves nothing in research, life. So everyone should have an ambition in life but simply having it is school essay, not enough. Whatever be the ambition , it must be backed up by contain efforts to achieve it. If a person sets an ambition before him. Education , Mohandas Karamchand Gandhi , People 663 Words | 2 Pages.
Macbeth- Manipulations of research, Ambition. ? Macbeth: Manipulations of Ambition Jane Doe ELA B10 Mr. Smith In “Macbeth”, Shakespeare uses the concept of . ambition to explain the deterioration of Macbeth’s morality and his choice, with the tragic hero manipulation of research writting, Lady Macbeth, to work out views a plan to kill Duncan. Shakespeare also explores the influential factors of why Macbeth’s ambitions become destructive. Assistance? The three witches in the beginning of the play prophesize that Macbeth will become king. Teaching Essay? Macbeth wanted to assistance fulfil this.
Duncan I of governor's school essay, Scotland , King Duncan , Lady Macbeth 1188 Words | 3 Pages. is ambition and self-improvement. Dickens uses this as a universal idea for his novel, and from this theme he gets his title of assistance, Great . Expectations. Amy Chua Wall Journal? Another major theme in the novel is social class. Dickens uses the theme of research writting assistance, social class to feed into his theme of ambition and self-improvement. With both ambition and self-improvement Pip is able to become a gentleman. Pip, from the lower class, has the bibtex longing to be with Estella, an upper-class well breed girl. He realizes that he has to become a gentleman. Estella Havisham , Great Expectations , Middle class 1051 Words | 3 Pages. play Macbeth, by William Shakespeare, the research writting assistance reasoning of Macbeth and Lady Macbeth is completely subverted and undermined by their insatiable . ambition . Political Views? Macbeth was at first reasonable enough to keep his ambition in check, however it eventually became to strong for even Macbeth and therefor over powered him.
To the research contrary, Lady Macbeth was overcome by application letter her ambition from the very beginning. Reasoning was abandoned after the decision to kill Duncan was made. At that point we see no serious questioning of. Banquo , First Folio , Lady Macbeth 1295 Words | 4 Pages. Life Changing Effects Of Corrupted Ambition. Changing Effects of Corrupted Ambition Many people have hopes or goals that one might want to accomplish in their future. Research Assistance? They may desire . powerful positions or occupations, while others may desire prosperity and wealth. Letter Accountant? This is known as ambition , the spellbinding force that leads one toward success.
However, an excessive amount can result in harmful acts and research writting assistance damaging outcomes to get ones temporary satisfaction. William Shakespeare’s “Macbeth” shows a great deal of ambition between characters and how. Banquo , Duncan I of Scotland , KILL 1842 Words | 5 Pages. Ambition in Macbeth Plays have been written ever since Aristotle discussed the origin and function of theater in his famous treatise . Poetics in 330 BC. Dissertation? Shakespeare, William the supreme English poet and playwright, recognized in much of the world as the greatest of all dramatists. He was also the writting first person to have a script for his plays, macbeth is teaching conclusions, thought to be the first, written in 1606 and published in 1623. As the play unfolds, Macbeth's ambition causes him to change his nature towards. Banquo , Duncan I of research writting assistance, Scotland , King Duncan 1291 Words | 4 Pages. Ambition: the Rise an Decline in bibtex for phd, Macbeth. Ambition : The Rise and research writting assistance Decline in Macbeth Many people, both young and old, strive to rise higher in their caste system. Many teenagers . For Fresh Accountant? aspire to go to college, and many working people aspire to be promoted.
Ambitions drive these individuals to reach their goals. Ambition drives an individual to reach their goals with a powerful force, but ambition can also cause the demise of the individual. In Shakespeare’s renaissance play, Macbeth, William Shakespeare uses the character Macbeth to show case. Banquo , Duncan I of Scotland , Macbeth 1330 Words | 4 Pages. How My Positive Outlook Benefits My Community. How my Positive Outlook Benefits my Community 798 words A positive attitude helps me to cope more easily with the daily . affairs of life. A positive attitude can bring optimism into research writting assistance, one’s life, making it easier to avoid failure. If it is wall, adopted as a way of life, it will bring constructive changes into my life as well as the lives of others making us happier, brighter, and more successful through inspiration. With my positive attitude I see the brighter side of life, becoming optimistic.
Better , Emotion , Emotional intelligence 805 Words | 3 Pages. Importance of Ambition In the play, Macbeth, written by William Shakespeare, it is evident that ambition plays a very important . role in the play. Ambition is when someone has a strong desire for success, achievement, or a goal. Research Assistance? It is a motivating factor that drives one towards success. This is a big part of this specific play. Without ambition , there would be no play, everything started with ambition . Ambition is important to the play because throughout the play Macbeth does everything to secure. Duncan I of Scotland , KILL , King Duncan 1537 Words | 5 Pages.
The Effects Of Macbeth's Ambitions. He who blinded by ambition , raises himself to a position whence he cannot mount higher, must thereafter fall with the greatest loss. Essay Wall? - . Niccolo Machiavelli. This preceding quote effectively describes Macbeth's fight to gain and maintain his role as King of Scotland. Throughout the play, Macbeth did anything necessary to become King. When he feared his reign was at risk, he again did whatever he thought was necessary to ensure his role. His ambitions caused him to research writting assistance take part in many regretful acts.
Duncan I of Scotland , Homicide , KILL 1309 Words | 4 Pages. Entrepreneurial Ambitions Reginald E. Porter Strayer University Contemporary Business Dr. Brenda Harper January 18, 2012 Abstract An . entrepreneur is school, someone who goes into business for themselves, hoping to expand and maximize profit. Throughout this report, I will briefly explain two of the premiere entrepreneurs who took a risk and it paid off. Entrepreneurial Ambitions It’s not about the price one charges for his goods and research writting services, nor is it about the competition or how to beat. Alcoholic beverage , Barack Obama , Business 879 Words | 3 Pages. Duncan I of Scotland and Macbeth Ambition. May 2014 Tragedy of bibtex for phd, Ambition Have you ever felt a strong desire to achieve something? This is called ambition . Sometimes . ambition can be shown as a dangerous trait or as a tool to strive to set higher goals. Research Writting? In the essay wall street play of Macbeth by Shakespeare, ambition of power causes the downfall of a heroic man called Macbeth. His desire to be king takes control of his actions and becomes his tragic flaw.
Throughout the play Macbeth, Shakespeare highlights the trait of ambition to illustrate how determine. Banquo , Duncan I of Scotland , King Duncan 1043 Words | 6 Pages. Shakespeare’s ‘Macbeth’ Is a Warning Against the research writting assistance Dangers of Ambition. Ambition plays a major role in Shakespeare’s tragedy of Macbeth, and is presented as a dangerous quality that principally influences the . Political Views Essay? characters to do wrong. This play gives off a warning of how ambition can affect people and their actions by its influence on Macbeth and his wife, Lady Macbeth. This disastrous story begins with the witches predicting that Macbeth would become Thane of Cawdor and then King of Scotland. Hence, Macbeth’s ambition emerges, furthermore persuaded by his wife and research writting also. Duncan I of Scotland , King Duncan , Macbeth 1096 Words | 3 Pages.
AIR ASIA – FLYING LOW COST WITH HIGH HOPES 1. Synopsis Air Asia was taken over by bibtex for phd Tony Fernandes when the global economic . crisis happened in research writting assistance, 2001. It was restructured into the first no-frills and low cost carrier (LCC) in Asia. It is for phd, now the award winning with the largest operation low fare in assistance, Asia. The approach is to be easy to book, pay and amy chua fly and most of the seats are sold through online, this is in line with its motto ‘Now Everyone Can Fly’. Not only in assistance, Malaysia, Air Asia expanding the business. AirAsia , Airline , Low-cost airlines 846 Words | 3 Pages. Spark Program Essay Word count: 1383 Sunday, March 13, 2013 The Opportunity to Become My interest in physics stems from application for fresh graduate, . mankind’s inherent interest in how things work. Research Writting? I have always been fascinated in the physical properties of matter, as well as its applications to the real world.
I have bold aspirations for my future career in physics, as I have dreams of essay journal, developing tomorrow’s new cutting edge technology. Also, I am an innovative person and I am always coming up with new ideas for inventions. Electron , Matter , Particle physics 1405 Words | 4 Pages. 12/5/12 Macbeth: Close Reading Essay Ambition is a strong feeling of wanting to be successful in achieving a goal (Encarta Dictionary). An . example of an ambition is in the play Macbeth, by William Shakespeare.
The main character, Macbeth is described as “not without ambition ,” (Shakespeare, 1.5. 19) to research writting become the greek tragic king. Therefore, he has the drive, and he desires for the success of becoming the king. Research Assistance? However, by achieving his goal and satisfying his ambition , the character’s soul and characteristics. Actor , Connotation , Denotation 851 Words | 3 Pages.
Buy Essay Papers Here -
Research Consultation - Dissertation …
Truck Driver Resume: Sample and Complete Guide [+20 Examples] There's a truck driver shortage. You can fog a windshield with your breath and you'll get a job. Writting! Right? Well, yes, if you want a horrible gig that pays $30,000 a year and tears up your body. But you want a job with great pay and great perks like full medical, cushy sleeper cabs, and a $25,000 safe driver bonus.
For that job, you can bet your log book you'll need a great truck driver resume. A free truck driver resume example that puts you in the top 2%. Solicited Application Graduate! How to write a truck driver resume that blows away the rest. The best format for a truck driver resume that won't put you in the slow lane. Research Writting Assistance! The best way to essay, write skills and keywords on a resume for truck drivers. What's the Best Format for a Truck Driver Resume? Meet the hiring manager, Ken.
He's got ten Hess Trucks in his office, but he can't see them over that stack of research writting, 300+ truck driving resumes. By the time he gets to yours, he's so bleary he can hardly read it. The best truck driver resume format will grab his attention like an air horn. The reverse-chronological driver resume format does that. Governor's Essay! How? By shortcutting right to the important info.
It lists your last job first. To make it easy for Ken to see your best side, use clear, legible fonts and big, friendly headings. Use white space too, to writting, give his eyes a rest. Finally, save your resume as a PDF. Street Journal! Truck driver resume PDFs preserve their formatting when you send them. Writting! MS word resumes can scramble in transit. Pro Tip: Does the company accept commercial truck driver resume PDFs? If the job description doesn't ban them, that's a green light. Just make sure to check. How to for phd dissertation, Write a Resume Summary or Resume Objective. Remember our hiring manager, Ken?
After 298 trucker resumes, he's as tired as an research writting assistance OTR trucker on the last leg of an 11-hour shift. You need to greek tragic, convince him you're the one to hire, and writting, fast. That means no piles of hero, words to roadblock him. Get his attention like a magnesium flare with a truck driver resume summary or resume objective. Think of research assistance, them as hooks. A resume summary proves your worth by showing your accomplishments. Tragic Hero Essay! It's for research writting truck drivers hauling plenty of experience.
A truck driver resume objective statement shows your passion for essay the job. Use it if you're deadhead. Truck Driver Resume Examples: Summary Statements. Check out the two very different commercial driver's license (CDL) truck driver resume samples below: Dependable CDL-A OTR Truck Driver with 5+ years experience. Seeking to use proven reliability to deliver on time with high satisfaction for research writting J.B. Hunt's customers. 100% clean driving record and drug test history. 97%+ customer satisfaction history with 11 management commendations.
OTR Truck Driver with 5 years experience driving over the road and 1 year experience driving dump trucks. I have my CDL. I have amazing truck driving skills in dissertation OTR driving and vehicle maintenance. Those are as different as a speed trap and research, a truckstop. That first OTR truck driver resume example is packed full of measurable achievements. It'll land a CDL Class A driver job. With the amy chua essay street journal, second CDL resume, you couldn't get a job hauling peanuts to writting assistance, Georgia. Don't have that kind of application graduate accountant, experience? No worries. Use a truck driver resume objective.
Two Entry Level Truck Driver Resume Examples. A resume objective shows your passion for the job opening. It gets you hired from writting assistance, sheer grit, with no truck driver experience. But here's a trick. You should still put some impressive hooks in it. Hard-working CDL-A truck driver with proven skills in vehicle maintenance and problem solving.
As dump-truck-driver for for phd dissertation Blue Rock Stone, performed physically demanding work. My vehicle inspection and maintenance skills caught and fixed a safety issue that averted a potential catastrophe and research writting assistance, earned a management commendation. Truck driver. No experience yet but I'm eager to start OTR work soon. See how that first dump truck driver resume sample loads up some goodies for the hiring manager? This works for amy chua wall street journal delivery truck drivers too. A CDL license is a big perk.
That ATA membership helps, too. Assistance! Between the two, you'll wake the hiring manager up like an in-cab ionizer. Pro Tip: The manager may read nothing but your resume summary, so put your best 1-2 achievements in it. It's the greek tragic hero, only way to keep him reading. How to Describe Your Truck Driver Experience. I'll pay this guy whatever he wants. Your professional truck driving resume needs to make the hiring manager say the words above. You don't need experience to fill just any old truck driver job description. But a resume for a truck driver without experience will default to the lowest paying work. How you show it matters most. For a trucker resume with all the power of a trucker's friend:
Show your last job first. Under it, list 4-6 bullet points. Assistance! Cram them with measurable accomplishments that fit this job opening. Cookie-cutter resumes make great packing material. They're not good for much else. CDL Truck Driver Resume Examples. Drove an average 4,500 miles/week as certified CDL-A OTR Driver. Delivered to schedule 98% of the bibtex, time with 99% customer satisfaction. Maintained 100% clean driving record and 100% clean drug screening tests. Met all DOT and company regulations and requirements for four years.
Demonstrated strong work ethic resulting in research writting assistance 10 management commendations. Frequently worked overtime to assist with unforeseen customer challenges. Worked as OTR truck driver for a fast-paced trucking business. Delivered on-time and political views essay, with a high rate of assistance, customer satisfaction. Safe driver with good driving skills. Very strong work ethic. Willing to solicited application, work overtime. See the difference? That first CDL truck driver resume sample is like showing up three days early. The second CDL resume snippet? More like delivering the wrong freight two days late.
But what if you don't have experience to start with? How to Write a Truck Driver Resume with no Experience. You knew this was coming. The only way to get experience for an OTR resume is with OTR experience. There's no way to get OTR truck driver resume experience by research writting assistance, doing temp work. But do these two things right and that won't matter. First, get a CDL. It'll take a little study time, but it'll put you in the fast lane.
Next, sift your past non-trucker jobs for trucker experience. Experience: Two Truck Driver Resume Examples. Drove a dump truck in for fresh graduate accountant a high-volume quarry, performing physically demanding driving work. Research Assistance! Displayed high-level coordination and judgement skills. Bibtex For Phd Dissertation! Used advanced problem solving to continue work after a vehicle breakdown. Through keen vehicle inspection, noticed a problem that would have caused accident/injury. Performed on-the-spot maintenance to writting assistance, fix the bibtex for phd, issue. OTR Truck Driver Experience: No specific OTR truck driver experience yet, but I'm ready to start! The key is, neither of research writting, those commercial truck driver resume samples shows OTR experience. Still, the first one looks like she can sling a tarp or handle a load bar.
Yet both truck driver resume examples came from the same person. If you're writing a delivery truck driver resume, the governor's essay, advice in this guide works the same. That's true whether you're applying for FedEX or UPS. Writting! It also works for Estes, or other line freight hauler jobs where you're home every night. You're all CDL truckers, so you'll have the same type of application letter for fresh graduate, trucker resumes. Just read the CDL driver’s job description. See what they're looking for and match your resume to it. Pro Tip: Take time to brainstorm your achievements.
Something that only took a couple hours can look great on research writting, a professional trucking resume. Is Your Education Section Asleep at the Wheel? It Might Be. Wow. We've got to hire this one. Your truck driver resume education section can make the hiring manager say those words?
It's true truck drivers don't need much education. A GED and trade school are enough. Think: What will make a trucking company want to solicited letter accountant, hire you? Reliability. Honesty. Research Writting! Work ethic. Essay! Safety. If you've got them, the research assistance, world is your on-ramp. You can use your education section as the solicited, perfect proof. Then add those bullet points. Education: Truck Driver Resume Examples.
Rebuilt an engine in shop class. Writting! Excelled in driver education class. Greek! Star Scout, Boy Scouts of America. Avid football team member, four years. That first truck driver resume sample doesn't just show education.
It shows you're reliable, honest, safe, and hardworking. Research Assistance! It'll soothe the amy chua wall street journal, hiring manager like an 8-inch comfort cushion. Pro Tip: Don't have school accomplishments like the writting, ones above? Just do some thinking. You've got to governor's essay, find a few trucking resume wins in your past. How to Put Skills on a Resume for writting assistance a Truck Driver. Oh oh. You got that dreaded email from the dissertation, HR manager. We'll keep your resume on file. What went wrong?
You probably didn't prove your skills. The best resume for truckers has to assistance, do more than say, I have the skills you want. It has to deliver like the Ice Road Truckers. First , look at political views the trucker job description. Second , highlight all the trucker skills you see in it. Third , list the writting, ones you have in your heavy trucker resume. Fourth , prove them in your resume bullet points. Check out this flatbed truck driver resume sample for a glimpse of what I mean: Truck Driver Resume Sample Skills List.
Let's take a pretend job description for a truck driver resume. Political Essay! It lists customer satisfaction , delivering to schedule , and problem solving . Show those in your resume. Add honesty and good judgement to round out the picture. But then you'll work the real magic. You'll prove you have those skills: Drove an average of 3,500 miles/week as a CDL-A OTR Driver. Maintained 98% customer satisfaction , delivering to schedule 97% of the time . Used strong problem solving communication to research, point out a routing flaw that would have cost the company thousands.
Commended by political, management. Displayed advanced honesty by writting, calling attention to views, a clerical error of $7,500 in my favor. Received a $2,500 bonus for dedication to the company. Exercised good judgement in difficult situations. Elected not to push to get on-time bonus when doing so would cause a hazardous equipment situation. Now you're not just one of assistance, 300+ trucker resumes. You're Optimus Prime with a bluetooth headset.
The trucking company HR manager just put down his coffee and for phd dissertation, he's looking for your phone number. List of Skills to Put on a Truck Driver Resume. Let's get the ball rolling with a list of free truck driver resume skills. The skills list below isn't comprehensive. Add to it from your own trucker skill set, and research assistance, from job offers online. Follow the trucker skills resume tips above, and you'll lock the job up like a portable vehicle safe. Note: That tarping skill above works great on a flatbed truck driver resume. Pro Tip: You might have a million skills, but only solicited application list the ones shown in the job offer, plus a few.
If you drown the HR manager in writting words, he'll drop your trucking resume like a month-old pickled egg. Want to supercharge your skill section? Use the sample truck driver resume from the top of this guide. Application Graduate! Also, see this article: +30 Best Examples of What Skills to Put on a Resume (Proven Tips) How to writting, Add Certifications to Truck Driver Resumes. What if your trucker resume had a special commuter lane that got it ahead of all the rest? You do. It's called a CDL. If you don't have one, get one.
If you do, display it. Put it in application graduate a special certifications section in your CDL Class A truck driver resume. That CDL-A certification takes 3-4 weeks to get, but it automatically puts you on the shortlist for most trucker jobs. The FAST Card is great trucker resume candy too. Consider applying for it. Of course you also need a valid driver's license, but you knew that. If yours has been revoked, looking around for a driver license template can lead you straight to jail. Pro Tip: Other certifications for research writting assistance heavy trucking resumes are doubles/triples, tankers, and solicited application letter accountant, hazmat. Any of these can set you above the assistance, herd. How to Add Other Sections for an Effective Resume. But here's the secret.
It wasn't because you weren't qualified. It came down to luck. The HR manager had 50 resumes that fit the for phd, bill. Research Writting! In the end, he picked by chance. Don't let that happen to you. Put a custom finish on your hi-test truck driver resume with special other sections. Those push you past qualified into the I have to interview this guy zone. Whatever you add, make sure the bullet points show you as more Tom Brady than Tow Mater. Truck Driver Resume Sample Activities Section.
Work out with free weights twice a week. Go for walks 5 days a week for cardiovascular health. Wall Journal! Volunteer once a month at St. Brendan's Soup Kitchen. None of those activities are truck driver duties and research, responsibilities. School Essay! Yet they all look great on trucker resumes. Why? The free weights show you're physically fit. Research Assistance! The walks suggests you're not about to keel over from thrombosis.
The volunteer work proves you're service-minded. Greek Tragic Hero! What activities do you do right now that would make good fodder on a commercial truck driver resume? Pro Tip: Spend the 3-4 weeks to go to trade school. Some companies let you train on the job, but they pay considerably less for the privilege. Here's the Most Common Myth About Cover Letters. Nobody will ever read a truck driver cover letter. That's as dubious as Large Marge from Pee Wee's Big Adventure. Let's rephrase it. No one reads generic cover letters. Research! A good one can get your over the road truck driver resume read thoroughly.
You just have to write it about the most important thing in teaching the HR manager's life. That's the HR manager. Next , add a fact or two you like about the assistance, trucking company. Third , show how your trucking skills can help. Tell him about essay a big accomplishment that fits his needs. Last , add a call to action.
Something like, I'd love to research writting, talk with you about essay how I can help Schneider National. Writing a truck driver cover letter with no experience? Highlight your passion and research, excitement for wall street journal the job. Your trucking resume and cover letter will form like Voltron. Together, they'll make the perfect truck driver application template that will get you on the road. Pro Tip: Follow up on your professional truck driver resume and cover letter. Writting Assistance! It's a great way to remind the manager about bibtex dissertation you at hiring time. How to writting, Add Contact Info to teaching essay, Your Resume. You're about to make a huge mistake. Of course you'll add basic contact info to your truck driver resume:
Full Name Updated Phone Number Professional Email Address. Alfred Sorgi, firstname.lastname@example.org - 440-727-6900. But add a LinkedIn profile. Many don't, but 87% of hiring managers consider them essential. You can also add a Twitter handle and other social media hangouts to a resume for research writting truck drivers.
Pro Tip: Do you have Facebook closet skeletons? One bad rant about drug testing can destroy even a great trucking resume. Amy Chua Essay Wall Journal! See this guide to tidying your online presence . Even with a good template for research writting assistance a truck driver resume, it's still hard to make your own. Be sure to hit these key points from our guide: Start with the trucking job description.
Highlight all the skills in it before you start your truck driver resume. Prove those skills in the bullet points of your OTR trucker resume. Show you've got the bibtex for phd dissertation, chops to do this job . Add other sections to your resume for truck drivers. Make sure each bullet point shows you're a great choice. Do you have questions about how to write a great resume for assistance a truck driver? Not sure how to describe your skills or achievements? Give us a shout in the comments!
We love to help! Tom Gerencer is a founder and former owner of governor's school essay, MediaNortheast Video Production and writting assistance, Training Without Boredom. A full-time writer in the fields of personal finance and career advice, Tom lives in teaching essay West Virginia with his wife Kathy, two children and research writting assistance, a couple of conclusions, ornery dogs.
Order Your Own Writing Help Now -
Resource Associates | Grant Writers
43 Resume Tips That Will Help You Get Hired. When you haven’t updated your resume in a while, it can be hard to know where to start. What experiences and accomplishments should you include for the jobs you’ve got your eye on? What new resume rules and trends should you be following? And seriously, one page or two? Well, search no more: We’ve compiled all the resume advice you need into one place. Writting. Read on governor's school, for tips and tricks that’ll make sure you craft a winning resume—and help you land a job. Writting Assistance. Your resume should not have every work experience you’ve ever had listed on it. Think of for phd dissertation your resume not as a comprehensive list of assistance your career history, but as a marketing document selling you as the perfect person for tragic essay the job. For each resume you send out, you’ll want to highlight only the accomplishments and writting assistance, skills that are most relevant to bibtex, the job at hand (even if that means you don’t include all of your experience). Job search expert Lily Zhang explains more about what it means to tailor your resume here . Writting. 2. But Keep a Master List of All Jobs.
Since you’ll want to governor's essay, be swapping different information in and out depending on the job you’re applying to, keep a resume master list on your computer where you keep any information you’ve ever included on a resume: old positions, bullet points tailored for research different applications, special projects that only sometimes make sense to include. Then, when you’re crafting each resume, it’s just a matter of cutting and pasting relevant information together. Think of this as your brag file . 3. Put the application for fresh graduate accountant Best Stuff “Above the Fold” In marketing speak, “above the fold” refers to what you see on writting, the front half of a folded newspaper (or, in the digital age, before you scroll down on a website), but basically it’s your first impression of bibtex dissertation a document. In resume speak, it means you should make sure your best experiences and accomplishments are visible on the top third of your resume. This top section is what the hiring manager is going to see first—and what will serve as a hook for someone to keep on reading. So focus on putting your best, most relevant experiences first—and then check out assistance, these five other marketing tricks to get your resume noticed . According to Zhang , the only occasion when an objective section makes sense is when you’re making a huge career change and need to explain from the get-go why your experience doesn’t match up with the position you’re applying to.
In every other case? Consider whether a summary statement would be right for you —or just nix it altogether to save space and focus on essay wall street, making the rest of your resume stellar. There are lots of different ways to organize the information on your resume, but the good old reverse chronological (where your most recent experience is listed first) is still your best bet. Unless it’s absolutely necessary in your situation, skip the research writting assistance skills-based resume—hiring managers might wonder what you’re hiding. The two- (or more!) page resume is a hotly debated topic , but the bottom line is this—you want the information here to wall, be concise, and making yourself keep it to one page is writting, a good way to force yourself to conclusions, do this. If you truly have enough relevant and research assistance, important experience, training, and dissertation, credentials to showcase on more than one page of your resume, then go for it.
But if you can tell the same story in less space? Do. If you’re struggling, check out these tips for cutting your content down , or work with a designer to research assistance, see how you can organize your resume to fit more in less space. Teaching Conclusions. Can’t figure out how to writting, tell your whole story on bibtex, one page, or want to be able to include some visual examples of your work? Instead of trying to have your resume cover everything, cover the most important details on research writting, that document, and then include a link to your personal website , where you can dive more into tragic essay what makes you the ideal candidate. We’ll talk about research writting, getting creative in order to stand out in a minute.
But the most basic principle of application letter for fresh graduate good resume formatting and research, design? Keep it simple. Use a basic but modern font, like Helvetica, Arial, or Century Gothic. Make your resume easy on hiring managers’ eyes by using a font size between 10 and 12 and leaving a healthy amount of white space on the page. You can use a different font or typeface for your name, your resume headers, and the companies for tragic essay which you’ve worked, but keep it simple and keep it consistent. Your main focus here should be on readability for the hiring manager. Writting. That being said, you should feel free to… Really want your resume stand out greek hero, from the research writting sea of tragic essay Times New Roman? Yes, creative resumes—like infographics, videos, or presentations—or resumes with icons or graphics can set you apart, but you should use them thoughtfully. If you’re applying through an ATS, keep to the standard formatting without any bells and whistles so the computer can read it effectively. If you’re applying to a more traditional company, don’t get too crazy, but feel free to add some tasteful design elements or a little color to make it pop.
No matter what, don’t do it unless you’re willing to put in the time, creativity, and research writting assistance, design work to make it awesome. 10. Make Your Contact Info Prominent. You don’t need to school essay, include your address on your resume anymore (really!), but you do need to make sure to writting, include a phone number and professional email address (not your work address!) as well as other places the essay conclusions hiring manager can find you on research, the web, like your LinkedIn profile and Twitter handle. Application. (Implicit in this is that you keep these social media profiles suitable for writting assistance prospective employers.) You’ve heard before that hiring managers don’t spend a lot of time on each individual resume.
So help them get as much information as possible, in school essay as little time as possible. Research Writting Assistance. These 12 small formatting changes will make a huge difference. Views Essay. Know that design skills aren’t your strong suit but want your resume to look stunning? There’s no shame in getting help, so consider working with a professional resume designer. This is arguably the research writting most important document of your job search, so it’s worth getting it exactly right! 13. Keep it Recent, Keep it Relevant. Political Essay. As a rule, you should only show the assistance most recent 10-15 years of your career history and only include the experience relevant to the positions to which you are applying. And remember to allocate real estate on your resume according to importance. If there’s a choice between including one more college internship or going into more detail about your current role, always choose the latter (unless a previous job was more relevant to the one you’re applying to).
14. No Relevant Experience? No Worries! Don’t panic if you don’t have any experience that fits the solicited application letter graduate bill. Instead, Zhang explains , focus your resume on assistance, your relevant and transferrable skills along with any related side or academic projects, and then make sure to pair it with a strong cover letter telling the essay narrative of why you’re ideal for research assistance the job.
No matter how long you’ve been in amy chua essay wall a job, or how much you’ve accomplished there, you shouldn’t have more than five or six bullets in a given section. No matter how good your bullets are, the recruiter just isn’t going to get through them. Check out these tips for writing impressive bullet points . You may be tempted to throw in tons of industry jargon so you sound like you know what you’re talking about, but ultimately you want your resume to be understandable to the average person. Remember that the first person who sees your resume might be a recruiter, an assistant, or even a high-level executive—and you want to be sure that it is research writting, readable, relevant, and interesting to all of them. Use as many facts, figures, and numbers as you can in your bullet points. Greek. How many people were impacted by your work? By what percentage did you exceed your goals? By quantifying your accomplishments, you really allow the hiring manager to picture the level of research work or responsibility you needed to achieve them.
Even if you don’t actually work with numbers, here are some secrets to adding more to your resume . Bibtex. People hire performers, so you want to writting, show that you didn’t just do stuff, but that you got stuff done! As you look at school, your bullet points, think about how you can take each statement one step further and add in writting assistance what the benefit was to your boss or your company. By doing this, you clearly communicate not only what you’re capable of, but also the direct benefit the employer will receive by hiring you. Amy Chua Street. If you’re not sure how to explain your impact, check out these tips for turning your duties into accomplishments . Describing soft skills on a resume often starts to sound like a list of meaningless buzzwords, fast. But being a “strong leader” or an “effective communicator” are important characteristics you want to get across. Think about assistance, how you can demonstrate these attributes in your bullet points without actually saying them.
Zhang demonstrates here how you can show five different qualities with the same bullet point—try it yourself until you get the result you’re going for! 20. Hero Essay. Don’t Neglect Non-Traditional Work. Writting Assistance. There’s no law that says you can only put full-time or paid work on your resume. School. So, if you’ve participated in a major volunteer role, worked part-time, were hired as a temporary or contract worker , freelanced, or blogged? Absolutely list these things as their own “jobs” within your career chronology. If every bullet in your resume starts with “Responsible for,” readers will get bored very quickly. Writting Assistance. Use our handy list of better verbs to mix it up ! Use keywords in your resume: Scan the job description, see what words are used most often, and bibtex for phd dissertation, make sure you’ve included them in your bullet points. Not only is research assistance, this a self-check that you’re targeting your resume to the job, it’ll make sure you get noticed in applicant tracking systems. Stuck on which words to include?
Dump the job description into a tool like TagCrowd , which will analyze and spit out the essay wall journal most used keywords. What words shouldn’t you include? Detail-oriented, team player, and hard worker—among other vague terms that recruiters say are chronically overused . We bet there’s a better way to describe how awesome you are. 24. Experience First, Education Second. Unless you’re a recent graduate, put your education after your experience. Chances are, your last couple of research jobs are more important and relevant to you getting the job than where you went to college. 25. Also Keep it Reverse Chronological.
Usually, you should lay down your educational background by listing the most recent or advanced degree first, working in reverse chronological order. But if older coursework is more specific to the job, list that first to teaching essay, grab the reviewer’s attention. Don’t list your graduation dates. Writting. The reviewer cares more about whether or not you have the essay degree than when you earned it. If you graduated from college with high honors, absolutely make note of it. While you don’t need to research writting, list your GPA, don’t be afraid to showcase that summa cum laude status or the fact that you were in the honors college at your university. 28. Include Continuing or Online Education. Don’t be afraid to include continuing education, professional development coursework, or online courses in your education section, especially if it feels a little light. Bibtex For Phd Dissertation. Kelli Orrela explains , “Online courses are a more-than-accepted norm nowadays, and assistance, your participation in them can actually show your determination and motivation to get the skills you need for governor's school essay your career.” Be sure to add a section that lists out all the relevant skills you have for a position, including tech skills like HTML and Adobe Creative Suite and any industry-related certifications.
Just make sure to writting, skip including skills that everyone is expected to have, like using email or Microsoft Word. Doing so will actually make you seem less technologically savvy. If you have lots of skills related to a position—say, foreign language, software, and leadership skills—try breaking out one of those sections and bibtex, listing it on its own. Below your “Skills” section, add another section titled “Language Skills” or “Software Skills,” and detail your experience there. Again—we’re going for skimmability here, folks! Feel free to writting, include an “Interests” section on your resume, but only essay add those that are relevant to the job.
Are you a guitar player with your eye on a music company? Definitely include it. But including your scrapbooking hobby for a tech job at writting assistance, a healthcare company? Don’t even think about it. Street Journal. 32. Beware of Interests That Could Be Controversial.
Maybe you help raise money for writting assistance your church on the reg. Or perhaps you have a penchant for canvassing during political campaigns. Essay. Yes, these experiences show a good amount of writting work ethic—but they could also be discriminated against by someone who disagrees with the cause. Zhang explains here how to weigh the decision of whether to include them or not. Do include awards and accolades you’ve received, even if they’re company-specific awards. Just state what you earned them for, e.g., “Earned Gold Award for having the solicited letter for fresh accountant company’s top sales record four quarters in research writting assistance a row.” What about personal achievements—like running a marathon—that aren’t totally relevant but show you’re a driven, hard worker?
Zhang shares the proper ways to include them. Dissertation. Gaps and Other Sticky Resume Situations. If you stayed at a (non-temporary) job for only a matter of months, consider eliminating it from research, your resume. According to The New York Times ’ career coach , leaving a particularly short-lived job or two off your work history shouldn’t hurt, as long as you’re honest about your experience if asked in an interview. If you have gaps of for phd a few months in your work history, don’t list the usual start and research, end dates for each position. Use years only (2010-2012), or just the essay wall street journal number of years or months you worked at your earlier positions. If you’ve job-hopped frequently, include a reason for leaving next to research writting assistance, each position, with a succinct explanation like “company closed,” “layoff due to downsizing,” or “relocated to new city.” By addressing the gaps, you’ll proactively illustrate the reason for governor's school essay your sporadic job movement and research assistance, make it less of an issue. Re-entering the workforce after a long hiatus? This is the perfect opportunity for a summary statement at the top, outlining your best skills and greek essay, accomplishments. Then, get into research assistance your career chronology, without hesitating to include part-time or volunteer work. See more tips from Jenny Foss for killing it on conclusions, your comeback resume.
Don’t try to creatively fill in gaps on assistance, your resume. For example, if you took time out of the for phd workforce to raise kids, don’t list your parenting experience on your resume, a la “adeptly managed the growing pile of laundry” (we’ve seen it). While parenting is research writting assistance, as demanding and intense a job as any out there, most corporate decision makers aren’t going to take this section of your resume seriously. 39. Ditch “References Available Upon Request” If a hiring manager is interested in you, he or she will ask you for references—and will assume that you have them. There’s no need to essay, address the obvious (and doing so might even make you look a little presumptuous!).
It should go without saying, but make sure your resume is free and clear of typos. And don’t rely on spell check and grammar check alone—ask family or friends to take a look at research, it for you (or get some tips from an editor on essay, how to perfect your own work ). If emailing your resume, make sure to always send a PDF rather than a .doc. That way all of your careful formatting won’t accidentally get messed up when the hiring manager opens it on his or her computer. To make sure it won’t look wonky when you send it off, Google’s head of HR Laszlo Bock suggests, “Look at it in both Google Docs and Word, and writting, then attach it to an email and solicited letter graduate accountant, open it as a preview.” Ready to save your resume and writting assistance, send it off? Save it as “Jane Smith Resume” instead of “Resume.” It’s one less step the hiring manager has to take. Carve out some time every quarter or so to pull up your resume and make some updates. Have you taken on new responsibilities? Learned new skills? Add them in.
When your resume is updated on essay wall journal, a regular basis, you’re ready to pounce when opportunity presents itself. And, even if you’re not job searching, there are plenty of good reasons to keep this document in tip-top shape. Photo courtesy of research writting assistance Hero Images / Getty Images . Erin Greenawald is a freelance writer, editor, and bibtex for phd dissertation, content strategist who is writting assistance, passionate about elevating the standard of writing on the web. Erin previously helped build The Muse’s beloved daily publication and led the company’s branded content team. If you’re an individual or company looking for help making your content better—or you just want to go out to tea—get in greek tragic hero touch at eringreenawald.com.
Hmmm, seems you#39;ve already signed up for this class. While you#39;re here, you may as well check out all the amazing companies that are hiring like crazy right now.
High Quality Custom Essay Writing Service -
Dissertation Help and Assistance | …
Department of Mathematical Sciences, Unit Catalogue 2003/04. Aims: This course is designed to research writting, cater for first year students with widely different backgrounds in school and college mathematics. It will treat elementary matters of advanced arithmetic, such as summation formulae for progressions and will deal with matters at a certain level of abstraction. This will include the principle of mathematical induction and some of its applications. Complex numbers will be introduced from first principles and developed to a level where special functions of a complex variable can be discussed at an elementary level. Objectives: Students will become proficient in the use of essay conclusions mathematical induction. Also they will have practice in research, real and complex arithmetic and be familiar with abstract ideas of wall journal primes, rationals, integers etc, and their algebraic properties. Calculations using classical circular and research writting hyperbolic trigonometric functions and essay the complex roots of unity, and their uses, will also become familiar with practice.
Natural numbers, integers, rationals and reals. Writting Assistance? Highest common factor. Lowest common multiple. Prime numbers, statement of prime decomposition theorem, Euclid's Algorithm. Proofs by induction. Greek Tragic Hero? Elementary formulae. Research Writting Assistance? Polynomials and their manipulation. Finite and essay journal infinite APs, GPs.
Binomial polynomials for writting assistance, positive integer powers and binomial expansions for non-integer powers of a+ b . Finite sums over multiple indices and changing the order of summation. Algebraic and geometric treatment of complex numbers, Argand diagrams, complex roots of unity. Trigonometric, log, exponential and hyperbolic functions of bibtex for phd real and complex arguments. Gaussian integers. Trigonometric identities. Polynomial and research writting transcendental equations. MA10002: Functions, differentiation analytic geometry.
Aims: To teach the basic notions of analytic geometry and the analysis of functions of a real variable at a level accessible to students with a good 'A' Level in Mathematics. At the end of the course the students should be ready to receive a first rigorous analysis course on these topics. Objectives: The students should be able to manipulate inequalities, classify conic sections, analyse and sketch functions defined by formulae, understand and political views formally manipulate the notions of limit, continuity and writting assistance differentiability and compute derivatives and Taylor polynomials of functions. Basic geometry of polygons, conic sections and other classical curves in the plane and their symmetry. For Phd? Parametric representation of curves and surfaces. Review of research assistance differentiation: product, quotient, function-of-a-function rules and solicited application letter accountant Leibniz rule. Maxima, minima, points of inflection, radius of curvature. Research? Graphs as geometrical interpretation of functions. Monotone functions. Injectivity, surjectivity, bijectivity.
Curve Sketching. Inequalities. Arithmetic manipulation and geometric representation of inequalities. Functions as formulae, natural domain, codomain, etc. Real valued functions and graphs. School Essay? Orders of magnitude. Taylor's Series and Taylor polynomials - the error term. Differentiation of Taylor series. Taylor Series for exp, log, sin etc.
Orders of growth. Orthogonal and writting assistance tangential curves. MA10003: Integration differential equations. Aims: This module is designed to cover standard methods of differentiation and integration, and the methods of application letter graduate accountant solving particular classes of differential equations, to research assistance, guarantee a solid foundation for the applications of calculus to follow in later courses. Objectives: The objective is to ensure familiarity with methods of journal differentiation and integration and their applications in problems involving differential equations. In particular, students will learn to recognise the research assistance, classical functions whose derivatives and integrals must be committed to memory. In independent private study, students should be capable of identifying, and executing the teaching, detailed calculations specific to, particular classes of problems by the end of the course.
Review of basic formulae from research writting assistance trigonometry and algebra: polynomials, trigonometric and hyperbolic functions, exponentials and logs. Integration by substitution. Integration of rational functions by partial fractions. Integration of essay parameter dependent functions. Interchange of differentiation and integration for parameter dependent functions.
Definite integrals as area and the fundamental theorem of calculus in practice. Research Writting? Particular definite integrals by letter accountant, ad hoc methods. Definite integrals by substitution and by parts. Volumes and surfaces of revolution. Definition of the order of a differential equation. Research Writting? Notion of linear independence of solutions. Statement of theorem on number of linear independent solutions. General Solutions. CF+PI . First order linear differential equations by application letter accountant, integrating factors; general solution. Second order linear equations, characteristic equations; real and complex roots, general real solutions. Simple harmonic motion.
Variation of assistance constants for inhomogeneous equations. Greek Tragic Essay? Reduction of order for higher order equations. Separable equations, homogeneous equations, exact equations. First and research writting assistance second order difference equations. Aims: To introduce the concepts of logic that underlie all mathematical reasoning and the notions of set theory that provide a rigorous foundation for application letter graduate, mathematics.
A real life example of all this machinery at work will be given in research writting assistance, the form of an introduction to the analysis of sequences of real numbers. Objectives: By the end of this course, the students will be able to: understand and work with a formal definition; determine whether straight-forward definitions of particular mappings etc. are correct; determine whether straight-forward operations are, or are not, commutative; read and understand fairly complicated statements expressing, with the use of quantifiers, convergence properties of sequences. Logic: Definitions and Axioms. Predicates and relations. The meaning of the bibtex dissertation, logical operators #217 , #218 , #152 , #174 , #171 , #034 , #036 . Logical equivalence and logical consequence. Direct and indirect methods of proof. Proof by contradiction. Counter-examples. Analysis of statements using Semantic Tableaux. Research Writting? Definitions of proof and deduction. Sets and Functions: Sets.
Cardinality of essay finite sets. Assistance? Countability and uncountability. Maxima and minima of finite sets, max (A) = - min (-A) etc. Unions, intersections, and/or statements and de Morgan's laws. Functions as rules, domain, co-domain, image. Injective (1-1), surjective (onto), bijective (1-1, onto) functions. Permutations as bijections. Functions and de Morgan's laws.
Inverse functions and inverse images of sets. Relations and equivalence relations. Arithmetic mod p. Sequences: Definition and numerous examples. Convergent sequences and their manipulation. Arithmetic of limits.
MA10005: Matrices multivariate calculus. Aims: The course will provide students with an solicited letter graduate, introduction to elementary matrix theory and an introduction to the calculus of functions from IRn #174 IRm and to multivariate integrals. Objectives: At the research writting, end of the hero, course the students will have a sound grasp of elementary matrix theory and multivariate calculus and will be proficient in performing such tasks as addition and multiplication of matrices, finding the determinant and inverse of a matrix, and finding the eigenvalues and associated eigenvectors of research a matrix. The students will be familiar with calculation of partial derivatives, the chain rule and its applications and political views essay the definition of differentiability for vector valued functions and will be able to calculate the Jacobian matrix and determinant of such functions. The students will have a knowledge of the assistance, integration of real-valued functions from IR #178 #174 IR and will be proficient in for phd, calculating multivariate integrals. Lines and research writting planes in two and three dimension. Wall? Linear dependence and independence. Simultaneous linear equations. Elementary row operations.
Gaussian elimination. Assistance? Gauss-Jordan form. Rank. Matrix transformations. Addition and multiplication. Inverse of a matrix. Greek Tragic Hero Essay? Determinants. Cramer's Rule. Similarity of matrices. Special matrices in geometry, orthogonal and symmetric matrices. Writting Assistance? Real and complex eigenvalues, eigenvectors.
Relation between algebraic and geometric operators. Geometric effect of matrices and the geometric interpretation of conclusions determinants. Areas of triangles, volumes etc. Real valued functions on research writting assistance, IR #179 . Partial derivatives and gradients; geometric interpretation. Maxima and Minima of functions of two variables.
Saddle points. Discriminant. Change of coordinates. Chain rule. Governor's? Vector valued functions and their derivatives. The Jacobian matrix and writting assistance determinant, geometrical significance. Bibtex For Phd Dissertation? Chain rule.
Multivariate integrals. Change of order of writting integration. Solicited? Change of variables formula. Aims: To introduce the theory of three-dimensional vectors, their algebraic and geometrical properties and their use in mathematical modelling. To introduce Newtonian Mechanics by writting assistance, considering a selection of problems involving the dynamics of particles. Objectives: The student should be familiar with the laws of vector algebra and vector calculus and should be able to use them in the solution of 3D algebraic and greek tragic essay geometrical problems. The student should also be able to use vectors to describe and model physical problems involving kinematics. The student should be able to assistance, apply Newton's second law of motion to derive governing equations of motion for problems of particle dynamics, and should also be able to analyse or solve such equations. Vectors: Vector equations of lines and application letter graduate planes. Differentiation of vectors with respect to a scalar variable. Curvature.
Cartesian, polar and assistance spherical co-ordinates. Vector identities. Dot and cross product, vector and scalar triple product and essay determinants from geometric viewpoint. Basic concepts of research mass, length and time, particles, force. Basic forces of political views nature: structure of matter, microscopic and macroscopic forces. Units and dimensions: dimensional analysis and scaling.
Kinematics: the description of particle motion in terms of vectors, velocity and acceleration in polar coordinates, angular velocity, relative velocity. Newton's Laws: Kepler's laws, momentum, Newton's laws of motion, Newton's law of gravitation. Newtonian Mechanics of Particles: projectiles in a resisting medium, constrained particle motion; solution of the governing differential equations for a variety of problems. Central Forces: motion under a central force. MA10031: Introduction to statistics probability 1. Aims: To provide a solid foundation in discrete probability theory that will facilitate further study in probability and statistics. Objectives: Students should be able to: apply the axioms and basic laws of probability using proper notation and rigorous arguments; solve a variety of problems with probability, including the use of combinations and permutations and discrete probability distributions; perform common expectation calculations; calculate marginal and conditional distributions of bivariate discrete random variables; calculate and make use of some simple probability generating functions. Sample space, events as sets, unions and intersections. Axioms and laws of probability. Equally likely events.
Combinations and permutations. Conditional probability. Partition Theorem. Research? Bayes' Theorem. Independence of events. Bernoulli trials. Discrete random variables (RVs). Essay Wall Street Journal? Probability mass function (PMF).
Bernoulli, Geometric, Binomial and Poisson Distributions. Poisson limit of Binomial distribution. Hypergeometric Distribution. Negative binomial distribution. Research Assistance? Joint and marginal distributions. Conditional distributions. Independence of RVs. Distribution of a sum of discrete RVs. Expectation of teaching essay discrete RVs. Means.
Expectation of a function. Moments. Properties of expectation. Expectation of writting independent products. Bibtex For Phd Dissertation? Variance and its properties. Standard deviation. Covariance. Variance of a sum of RVs, including independent case. Correlation. Conditional expectations.
Probability generating functions (PGFs). MA10032: Introduction to statistics probability 2. Aims: To introduce probability theory for continuous random variables. To introduce statistical modelling and parameter estimation and to discuss the role of statistical computing. Objectives: Ability to solve a variety of problems and compute common quantities relating to continuous random variables. Ability to formulate, fit and assess some statistical models. To be able to use the R statistical package for simulation and research assistance data exploration. Definition of essay continuous random variables (RVs), cumulative distribution functions (CDFs) and probability density functions (PDFs).
Some common continuous distributions including uniform, exponential and normal. Some graphical tools for describing/summarising samples from distributions. Results for research, continuous RVs analogous to the discrete RV case, including mean, variance, properties of expectation, joint PDFs (including dependent and independent examples), independence (including joint distribution as a product of marginals). The distribution of a sum of independent continuous RVs, including normal and exponential examples. Statement of the central limit theorem (CLT).
Transformations of RVs. Discussion of the role of simulation in solicited for fresh graduate accountant, statistics. Use of uniform random variables to simulate (and illustrate) some common families of discrete and continuous RVs. Sampling distributions, particularly of sample means. Point estimates and estimators. Estimators as random variables. Bias and research writting assistance precision of estimators.
Introduction to model fitting; exploratory data analysis (EDA) and model formulation. Parameter estimation via method of moments and (simple cases of) maximum likelihood. Graphical assessment of goodness of fit. Implications of model misspecification. Aims: To teach the basic ideas of probability, data variability, hypothesis testing and hero of relationships between variables and the application of these ideas in management. Objectives: Students should be able to formulate and solve simple problems in probability including the use of Bayes' Theorem and writting Decision Trees.
They should recognise real-life situations where variability is likely to follow a binomial, Poisson or normal distribution and be able to carry out simple related calculations. They should be able to carry out a simple decomposition of a time series, apply correlation and governor's regression analysis and understand the basic idea of statistical significance. The laws of Probability, Bayes' Theorem, Decision Trees. Binomial, Poisson and normal distributions and their applications; the relationship between these distributions. Time series decomposition into trend and season al components; multiplicative and additive seasonal factors. Correlation and regression; calculation and interpretation in terms of variability explained. Idea of the sampling distribution of the research writting, sample mean; the Z test and the concept of significance level.
Core 'A' level maths. Bibtex Dissertation? The course follows closely the essential set book: L Bostock S Chandler, Core Maths for A-Level, Stanley Thornes ISBN 0 7487 1779 X. Numbers: Integers, Rationals, Reals. Research Writting Assistance? Algebra: Straight lines, Quadratics, Functions, Binomial, Exponential Function. Trigonometry: Ratios for general angles, Sine and Cosine Rules, Compound angles. Calculus: Differentiation: Tangents, Normals, Rates of Change, Max/Min. Core 'A' level maths. The course follows closely the essential set book: L Bostock S Chandler, Core Maths for A-Level, Stanley Thornes ISBN 0 7487 1779 X.
Integration: Areas, Volumes. Simple Standard Integrals. Statistics: Collecting data, Mean, Median, Modes, Standard Deviation. MA10126: Introduction to computing with applications. Aims: To introduce computational tools of relevance to scientists working in governor's school, a numerate discipline. To teach programming skills in the context of applications. To introduce presentational and expositional skills and group work. Objectives: At the end of the writting, course, students should be: proficient in elementary use of UNIX and EMACS; able to program a range of mathematical and statistical applications using MATLAB; able to analyse the complexity of simple algorithms; competent with working in groups; giving presentations and creating web pages.
Introduction to UNIX and EMACS. Brief introduction to HTML. Programming in MATLAB and applications to mathematical and statistical problems: Variables, operators and control, loops, iteration, recursion. Scripts and functions. Political Views? Compilers and interpreters (by example). Data structures (by example).
Visualisation. Graphical-user interfaces. Numerical and symbolic computation. The MATLAB Symbolic Math toolbox. Introduction to complexity analysis. Efficiency of algorithms. Applications. Report writing. Presentations.
Web design. Group project. * Calculus: Limits, differentiation, integration. Writting? Revision of logarithmic, exponential and inverse trigonometrical functions. Revision of integration including polar and parametric co-ordinates, with applications. * Further calculus - hyperbolic functions, inverse functions, McLaurin's and Taylor's theorem, numerical methods (including solution of nonlinear equations by Newton's method and integration by Simpson's rule).
* Functions of several variables: Partial differentials, small errors, total differentials. * Differential equations: Solution of views essay first order equations using separation of variables and integrating factor, linear equations with constant coefficients using trial method for particular integration. * Linear algebra: Matrix algebra, determinants, inverse, numerical methods, solution of systems of research linear algebraic equation. * Complex numbers: Argand diagram, polar coordinates, nth roots, elementary functions of a complex variable. * Linear differential equations: Second order equations, systems of first order equations. * Descriptive statistics: Diagrams, mean, mode, median and standard deviation. * Elementary probablility: Probability distributions, random variables, statistical independence, expectation and variance, law of large numbers and central limit theorem (outline). * Statistical inference: Point estimates, confidence intervals, hypothesis testing, linear regression. MA20007: Analysis: Real numbers, real sequences series. Aims: To reinforce and extend the ideas and methodology (begun in amy chua essay wall, the first year unit MA10004) of the analysis of the writting assistance, elementary theory of sequences and series of real numbers and to extend these ideas to sequences of amy chua wall street journal functions.
Objectives: By the assistance, end of the module, students should be able to tragic, read and understand statements expressing, with the use of quantifiers, convergence properties of sequences and series. They should also be capable of investigating particular examples to which the theorems can be applied and of understanding, and constructing for themselves, rigorous proofs within this context. Suprema and Infima, Maxima and Minima. Research Assistance? The Completeness Axiom. Sequences. Limits of sequences in epsilon-N notation. Bounded sequences and monotone sequences. Amy Chua Essay Wall Street Journal? Cauchy sequences. Algebra-of-limits theorems.
Subsequences. Limit Superior and Limit Inferior. Writting Assistance? Bolzano-Weierstrass Theorem. Sequences of partial sums of series. Convergence of series. Conditional and absolute convergence.
Tests for convergence of series; ratio, comparison, alternating and nth root tests. Power series and radius of convergence. Essay Wall? Functions, Limits and Continuity. Research Writting? Continuity in terms of convergence of sequences. Algebra of limits. Brief discussion of convergence of sequences of functions.
Aims: To teach the definitions and basic theory of abstract linear algebra and, through exercises, to show its applicability. Objectives: Students should know, by heart, the dissertation, main results in linear algebra and should be capable of independent detailed calculations with matrices which are involved in applications. Students should know how to execute the Gram-Schmidt process. Real and complex vector spaces, subspaces, direct sums, linear independence, spanning sets, bases, dimension. The technical lemmas concerning linearly independent sequences. Dimension. Writting? Complementary subspaces. Projections. Linear transformations.
Rank and nullity. The Dimension Theorem. Political Views Essay? Matrix representation, transition matrices, similar matrices. Examples. Inner products, induced norm, Cauchy-Schwarz inequality, triangle inequality, parallelogram law, orthogonality, Gram-Schmidt process.
MA20009: Ordinary differential equations control. Aims: This course will provide standard results and techniques for writting assistance, solving systems of linear autonomous differential equations. Based on this material an accessible introduction to amy chua essay wall street journal, the ideas of research writting mathematical control theory is solicited application letter for fresh graduate given. The emphasis here will be on stability and stabilization by feedback. Foundations will be laid for research writting, more advanced studies in nonlinear differential equations and control theory.
Phase plane techniques will be introduced. Objectives: At the end of the course, students will be conversant with the political, basic ideas in the theory of writting assistance linear autonomous differential equations and, in particular, will be able to letter, employ Laplace transform and research matrix methods for their solution. Moreover, they will be familiar with a number of elementary concepts from solicited application accountant control theory (such as stability, stabilization by research writting assistance, feedback, controllability) and will be able to solve simple control problems. The student will be able to carry out simple phase plane analysis. Systems of linear ODEs: Normal form; solution of homogeneous systems; fundamental matrices and matrix exponentials; repeated eigenvalues; complex eigenvalues; stability; solution of non-homogeneous systems by variation of parameters. Laplace transforms: Definition; statement of street conditions for existence; properties including transforms of the first and higher derivatives, damping, delay; inversion by partial fractions; solution of ODEs; convolution theorem; solution of integral equations. Linear control systems: Systems: state-space; impulse response and delta functions; transfer function; frequency-response.
Stability: exponential stability; input-output stability; Routh-Hurwitz criterion. Feedback: state and output feedback; servomechanisms. Introduction to controllability and observability: definitions, rank conditions (without full proof) and examples. Nonlinear ODEs: Phase plane techniques, stability of equilibria. MA20010: Vector calculus partial differential equations. Aims: The first part of the course provides an introduction to vector calculus, an essential toolkit in most branches of applied mathematics. The second forms an introduction to the solution of linear partial differential equations.
Objectives: At the research assistance, end of this course students will be familiar with the fundamental results of vector calculus (Gauss' theorem, Stokes' theorem) and will be able to carry out line, surface and volume integrals in political views, general curvilinear coordinates. They should be able to solve Laplace's equation, the wave equation and the diffusion equation in simple domains, using separation of variables. Vector calculus: Work and energy; curves and surfaces in parametric form; line, surface and volume integrals. Grad, div and curl; divergence and Stokes' theorems; curvilinear coordinates; scalar potential. Fourier series: Formal introduction to Fourier series, statement of Fourier convergence theorem; Fourier cosine and sine series. Assistance? Partial differential equations: classification of linear second order PDEs; Laplace's equation in 2D, in rectangular and circular domains; diffusion equation and wave equation in one space dimension; solution by separation of variables.
MA20011: Analysis: Real-valued functions of a real variable. Aims: To give a thorough grounding, through rigorous theory and exercises, in the method and dissertation theory of modern calculus. To define the definite integral of certain bounded functions, and to explain why some functions do not have integrals. Objectives: Students should be able to quote, verbatim, and writting prove, without recourse to notes, the main theorems in the syllabus. They should also be capable, on their own initiative, of applying the analytical methodology to problems in other disciplines, as they arise. Amy Chua? They should have a thorough understanding of the abstract notion of an integral, and research writting assistance a facility in the manipulation of integrals. Weierstrass's theorem on application, continuous functions attaining suprema and research assistance infima on compact intervals.
Intermediate Value Theorem. Functions and Derivatives. Views? Algebra of derivatives. Leibniz Rule and compositions. Derivatives of inverse functions. Rolle's Theorem and Mean Value Theorem.
Cauchy's Mean Value Theorem. L'Hopital's Rule. Monotonic functions. Maxima/Minima. Uniform Convergence. Research Assistance? Cauchy's Criterion for solicited letter for fresh, Uniform Convergence. Weierstrass M-test for series. Power series. Writting Assistance? Differentiation of power series. Reimann integration up to the Fundamental Theorem of Calculus for the integral of a Riemann-integrable derivative of a function.
Integration of power series. Interchanging integrals and limits. Improper integrals. Aims: In linear algebra the aim is to take the abstract theory to a new level, different from the elementary treatment in MA20008. Groups will be introduced and the most basic consequences of the essay, axioms derived. Objectives: Students should be capable of finding eigenvalues and minimum polynomials of matrices and of deciding the correct Jordan Normal Form. Students should know how to diagonalise matrices, while supplying supporting theoretical justification of the method.
In group theory they should be able to write down the group axioms and the main theorems which are consequences of the axioms. Linear Algebra: Properties of determinants. Eigenvalues and eigenvectors. Geometric and writting assistance algebraic multiplicity. Diagonalisability. Characteristic polynomials. Cayley-Hamilton Theorem.
Minimum polynomial and primary decomposition theorem. Statement of and motivation for the Jordan Canonical Form. Examples. Views? Orthogonal and writting unitary transformations. Symmetric and Hermitian linear transformations and their diagonalisability. Quadratic forms. Norm of a linear transformation.
Examples. Group Theory: Group axioms and examples. Deductions from the wall journal, axioms (e.g. uniqueness of identity, cancellation). Subgroups. Cyclic groups and their properties. Research Assistance? Homomorphisms, isomorphisms, automorphisms. Cosets and greek tragic hero Lagrange's Theorem. Normal subgroups and Quotient groups. Fundamental Homomorphism Theorem.
MA20013: Mathematical modelling fluids. Aims: To study, by example, how mathematical models are hypothesised, modified and elaborated. To study a classic example of mathematical modelling, that of fluid mechanics. Objectives: At the end of the course the student should be able to. * construct an initial mathematical model for a real world process and assess this model critically. * suggest alterations or elaborations of proposed model in light of discrepancies between model predictions and research writting observed data or failures of the model to for phd dissertation, exhibit correct qualitative behaviour. The student will also be familiar with the equations of motion of an ideal inviscid fluid (Eulers equations, Bernoullis equation) and how to solve these in certain idealised flow situations. Modelling and the scientific method: Objectives of mathematical modelling; the iterative nature of modelling; falsifiability and predictive accuracy; Occam's razor, paradigms and model components; self-consistency and structural stability. Research Writting Assistance? The three stages of modelling: (1) Model formulation, including the use of empirical information, (2) model fitting, and. (3) model validation.
Possible case studies and amy chua wall street journal projects include: The dynamics of assistance measles epidemics; population growth in the USA; prey-predator and competition models; modelling water pollution; assessment of heat loss prevention by double glazing; forest management. Fluids: Lagrangian and Eulerian specifications, material time derivative, acceleration, angular velocity. Mass conservation, incompressible flow, simple examples of potential flow. Aims: To revise and develop elementary MATLAB programming techniques. To teach those aspects of essay conclusions Numerical Analysis which are most relevant to a general mathematical training, and to lay the foundations for the more advanced courses in later years. Objectives: Students should have some facility with MATLAB programming. They should know simple methods for the approximation of functions and research assistance integrals, solution of initial and greek tragic boundary value problems for ordinary differential equations and the solution of linear systems. Research Assistance? They should also know basic methods for the analysis of the for phd, errors made by these methods, and be aware of some of the relevant practical issues involved in their implementation. MATLAB Programming: handling matrices; M-files; graphics.
Concepts of research Convergence and Accuracy: Order of convergence, extrapolation and error estimation. Solicited Application Letter Graduate? Approximation of Functions: Polynomial Interpolation, error term. Quadrature and research assistance Numerical Differentiation: Newton-Cotes formulae. Gauss quadrature. Composite formulae.
Error terms. Numerical Solution of solicited application for fresh accountant ODEs: Euler, Backward Euler, multi-step and explicit Runge-Kutta methods. Writting Assistance? Stability. Consistency and essay convergence for one step methods. Error estimation and control. Linear Algebraic Equations: Gaussian elimination, LU decomposition, pivoting, Matrix norms, conditioning, backward error analysis, iterative methods. Aims: Introduce classical estimation and hypothesis-testing principles. Objectives: Ability to perform standard estimation procedures and tests on normal data. Ability to carry out goodness-of-fit tests, analyse contingency tables, and carry out research writting assistance non-parametric tests.
Point estimation: Maximum-likelihood estimation; further properties of estimators, including mean square error, efficiency and consistency; robust methods of estimation such as the median and trimmed mean. Interval estimation: Revision of confidence intervals. Hypothesis testing: Size and power of tests; one-sided and two-sided tests. Examples. Bibtex? Neyman-Pearson lemma.
Distributions related to the normal: t, chi-square and F distributions. Inference for normal data: Tests and confidence intervals for normal means and variances, one-sample problems, paired and unpaired two-sample problems. Contingency tables and goodness-of-fit tests. Non-parametric methods: Sign test, signed rank test, Mann-Whitney U-test. MA20034: Probability random processes. Aims: To introduce some fundamental topics in probability theory including conditional expectation and the three classical limit theorems of research assistance probability. To present the main properties of random walks on essay, the integers, and Poisson processes. Objectives: Ability to perform computations on random walks, and Poisson processes. Ability to research writting, use generating function techniques for effective calculations. Ability to political views essay, work effectively with conditional expectation. Ability to apply the classical limit theorems of probability.
Revision of research properties of expectation and conditional probability. Conditional expectation. Chebyshev's inequality. The Weak Law. Statement of the Strong Law of application letter for fresh graduate accountant Large Numbers. Random variables on research, the positive integers. Probability generating functions. Random walks expected first passage times. Poisson processes: characterisations, inter-arrival times, the gamma distribution. Moment generating functions.
Outline of the greek tragic essay, Central Limit Theorem. Aims: Introduce the principles of building and analysing linear models. Objectives: Ability to carry out analyses using linear Gaussian models, including regression and ANOVA. Understand the principles of statistical modelling. One-way analysis of research writting variance (ANOVA): One-way classification model, F-test, comparison of group means. Regression: Estimation of model parameters, tests and confidence intervals, prediction intervals, polynomial and multiple regression. Two-way ANOVA: Two-way classification model. Main effects and interaction, parameter estimation, F- and t-tests. Discussion of experimental design.
Principles of modelling: Role of the statistical model. Critical appraisal of model selection methods. Use of residuals to check model assumptions: probability plots, identification and tragic hero essay treatment of outliers. Multivariate distributions: Joint, marginal and conditional distributions; expectation and variance-covariance matrix of a random vector; statement of properties of the bivariate and writting assistance multivariate normal distribution. The general linear model: Vector and matrix notation, examples of the design matrix for regression and ANOVA, least squares estimation, internally and externally Studentized residuals. Aims: To present a formal description of Markov chains and Markov processes, their qualitative properties and ergodic theory. To apply results in modelling real life phenomena, such as biological processes, queuing systems, renewal problems and machine repair problems. Objectives: On completing the course, students should be able to. * Classify the states of a Markov chain, find hitting probabilities, expected hitting times and invariant distributions. * Calculate waiting time distributions, transition probabilities and limiting behaviour of various Markov processes.
Markov chains with discrete states in discrete time: Examples, including random walks. The Markov 'memorylessness' property, P-matrices, n-step transition probabilities, hitting probabilities, expected hitting times, classification of states, renewal theorem, invariant distributions, symmetrizability and ergodic theorems. Markov processes with discrete states in continuous time: Examples, including Poisson processes, birth death processes and various types of views Markovian queues. Assistance? Q-matrices, resolvents, waiting time distributions, equilibrium distributions and ergodicity. Aims: To teach the solicited for fresh graduate, fundamental ideas of sampling and its use in estimation and hypothesis testing. These will be related as far as possible to management applications. Objectives: Students should be able to research assistance, obtain interval estimates for population means, standard deviations and proportions and be able to carry out standard one and two sample tests.
They should be able to handle real data sets using the minitab package and show appreciation of the uses and limitations of the methods learned. Different types of sample; sampling distributions of means, standard deviations and proportions. The use and meaning of confidence limits. Hypothesis testing; types of error, significance levels and P values. Essay? One and two sample tests for means and proportions including the use of Student's t. Research? Simple non-parametric tests and chi-squared tests. The probability of a type 2 error in political essay, the Z test and the concept of power. Quality control: Acceptance sampling, Shewhart charts and the relationship to hypothesis testing.
The use of the minitab package and practical points in data analysis. Aims: To teach the assistance, methods of analysis appropriate to simple and multiple regression models and to common types of survey and experimental design. Governor's School? The course will concentrate on applications in the management area. Objectives: Students should be able to set up and analyse regression models and assess the resulting model critically. Research Writting? They should understand the principles involved in experimental design and be able to for phd dissertation, apply the methods of analysis of research variance. One-way analysis of variance (ANOVA): comparisons of group means. Simple and multiple regression: estimation of model parameters, tests, confidence and prediction intervals, residual and diagnostic plots. Two-way ANOVA: Two-way classification model, main effects and political essay interactions. Experimental Design: Randomisation, blocking, factorial designs.
Analysis using the assistance, minitab package. Industrial placement year. Study year abroad (BSc) Aims: To understand the principles of statistics as applied to Biological problems. Objectives: After the course students should be able to: Give quantitative interpretation of Biological data. Topics: Random variation, frequency distributions, graphical techniques, measures of governor's school essay average and variability. Discrete probability models - binomial, poisson. Continuous probability model - normal distribution. Poisson and research writting assistance normal approximations to binomial sampling theory. Estimation, confidence intervals.
Chi-squared tests for goodness of fit and contingency tables. One sample and two sample tests. Paired comparisons. Confidence interval and tests for proportions. Least squares straight line. Prediction. Correlation. MA20146: Mathematical statistical modelling for biological sciences. This unit aims to study, by views essay, example, practical aspects of mathematical and statistical modelling, focussing on the biological sciences. Applied mathematics and statistics rely on constructing mathematical models which are usually simplifications and idealisations of real-world phenomena. In this course students will consider how models are formulated, fitted, judged and modified in light of scientific evidence, so that they lead to a better understanding of the assistance, data or the phenomenon being studied. the teaching essay conclusions, approach will be case-study-based and will involve the writting assistance, use of computer packages.
Case studies will be drawn from a wide range of biological topics, which may include cell biology, genetics, ecology, evolution and application letter accountant epidemiology. After taking this unit, the student should be able to. * Construct an initial mathematical model for a real-world process and research writting assess this model critically; and. * Suggest alterations or elaborations of a proposed model in light of discrepancies between model predictions and tragic observed data, or failures of the model to exhibit correct quantitative behaviour. * Modelling and the scientific method. Objectives of mathematical and statistical modelling; the iterative nature of modelling; falsifiability and predictive accuracy. * The three stages of research modelling. (1) Model formulation, including the art of consultation and the use of empirical information. (2) Model fitting. (3) Model validation. * Deterministic modelling; Asymptotic behaviour including equilibria. Dynamic behaviour. Optimum behaviour for a system.
* The interpretation of probability. Symmetry, relative frequency, and degree of belief. * Stochastic modelling. Probalistic models for complex systems. Views? Modelling mean response and variability. The effects of model uncertainty on statistical interference. The dangers of multiple testing and data dredging. Aims: This course develops the basic theory of rings and fields and expounds the fundamental theory of Galois on solvability of polynomials. Objectives: At the end of the course, students will be conversant with the algebraic structures associated to rings and fields. Moreover, they will be able to state and assistance prove the main theorems of Galois Theory as well as compute the Galois group of simple polynomials. Rings, integral domains and fields.
Field of quotients of an integral domain. Ideals and quotient rings. Rings of polynomials. Political Views Essay? Division algorithm and unique factorisation of polynomials over a field. Extension fields. Algebraic closure. Splitting fields. Writting? Normal field extensions. Galois groups. The Galois correspondence. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR.
Aims: This course provides a solid introduction to modern group theory covering both the school essay, basic tools of the subject and research writting more recent developments. Objectives: At the end of the course, students should be able to state and prove the main theorems of classical group theory and know how to apply these. In addition, they will have some appreciation of the relations between group theory and other areas of mathematics. Topics will be chosen from the following: Review of elementary group theory: homomorphisms, isomorphisms and Lagrange's theorem. Essay? Normalisers, centralisers and conjugacy classes. Group actions. p-groups and writting assistance the Sylow theorems. Cayley graphs and geometric group theory. Free groups.
Presentations of groups. Von Dyck's theorem. Tietze transformations. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR. MA30039: Differential geometry of curves surfaces. Aims: This will be a self-contained course which uses little more than elementary vector calculus to develop the local differential geometry of curves and surfaces in IR #179 . In this way, an accessible introduction is given to an area of mathematics which has been the subject of active research for essay conclusions, over 200 years. Objectives: At the end of the course, the students will be able to apply the methods of calculus with confidence to geometrical problems. They will be able to compute the curvatures of assistance curves and surfaces and understand the geometric significance of these quantities. Topics will be chosen from the following: Tangent spaces and tangent maps.
Curvature and torsion of curves: Frenet-Serret formulae. The Euclidean group and congruences. Curvature and torsion determine a curve up to congruence. Global geometry of curves: isoperimetric inequality; four-vertex theorem. Local geometry of surfaces: parametrisations of surfaces; normals, shape operator, mean and Gauss curvature.
Geodesics, integration and the local Gauss-Bonnet theorem. Aims: This core course is intended to be an elementary and governor's school accessible introduction to the theory of metric spaces and the topology of IRn for students with both pure and applied interests. Objectives: While the foundations will be laid for further studies in Analysis and writting Topology, topics useful in essay, applied areas such as the Contraction Mapping Principle will also be covered. Students will know the fundamental results listed in the syllabus and have an instinct for their utility in research assistance, analysis and numerical analysis. Definition and examples of amy chua essay wall metric spaces. Convergence of sequences. Continuous maps and isometries. Sequential definition of continuity. Subspaces and product spaces. Complete metric spaces and the Contraction Mapping Principle.
Sequential compactness, Bolzano-Weierstrass theorem and assistance applications. Open and closed sets (with emphasis on IRn). Closure and interior of sets. Topological approach to continuity and compactness (with statement of Heine-Borel theorem). Connectedness and path-connectedness. Metric spaces of functions: C[0,1] is a complete metric space. Aims: To furnish the student with a range of analytic techniques for teaching essay, the solution of ODEs and PDEs. Objectives: Students should be able to obtain the solution of certain ODEs and PDEs. They should also be aware of certain analytic properties associated with the solution e.g. uniqueness. Sturm-Liouville theory: Reality of eigenvalues.
Orthogonality of eigenfunctions. Expansion in eigenfunctions. Approximation in mean square. Statement of completeness. Fourier Transform: As a limit of Fourier series. Research? Properties and applications to solution of differential equations. Frequency response of linear systems. Characteristic functions.
Linear and quasi-linear first-order PDEs in two and three independent variables: Characteristics. Integral surfaces. Uniqueness (without proof). Linear and quasi-linear second-order PDEs in two independent variables: Cauchy-Kovalevskaya theorem (without proof). Characteristic data. Lack of continuous dependence on initial data for Cauchy problem. Hero? Classification as elliptic, parabolic, and hyperbolic. Different standard forms. Constant and nonconstant coefficients. Writting? One-dimensional wave equation: d'Alembert's solution. Uniqueness theorem for solicited, corresponding Cauchy problem (with data on a spacelike curve).
Aims: The course is intended to provide an elementary and assessible introduction to the state-space theory of writting assistance linear control systems. Main emphasis is on for phd, continuous-time autonomous systems, although discrete-time systems will receive some attention through sampling of continuous-time systems. Writting Assistance? Contact with classical (Laplace-transform based) control theory is made in the context of realization theory. Objectives: To instill basic concepts and results from control theory in a rigorous manner making use of elementary linear algebra and linear ordinary differential equations. Political? Conversance with controllability, observability, stabilizabilty and realization theory in a linear, finite-dimensional context.
Topics will be chosen from the research, following: Controlled and observed dynamical systems: definitions and classifications. Controllability and observability: Gramians, rank conditions, Hautus criteria, controllable and unobservable subspaces. Greek Tragic Hero Essay? Input-output maps. Transfer functions and state-space realizations. Writting Assistance? State feedback: stabilizability and pole placement. Amy Chua Wall Street? Observers and output feedback: detectability, asymptotic state estimation, stabilization by dynamic feedback.
Discrete-time systems: z-transform, deadbeat control and observation. Sampling of continuous-time systems: controllability and observability under sampling. Aims: The purpose of this course is to introduce students to problems which arise in biology which can be tackled using applied mathematics. Emphasis will be laid upon deriving the equations describing the biological problem and at all times the interplay between the mathematics and the underlying biology will be brought to the fore. Objectives: Students should be able to derive a mathematical model of a given problem in biology using ODEs and give a qualitative account of the type of writting assistance solution expected. For Phd? They should be able to assistance, interpret the results in terms of the original biological problem. Topics will be chosen from the following: Difference equations: Steady states and fixed points. Stability. Period doubling bifurcations. Chaos. Application to population growth.
Systems of difference equations: Host-parasitoid systems. Systems of ODEs: Stability of solutions. Critical points. Phase plane analysis. Poincare-Bendixson theorem.
Bendixson and Dulac negative criteria. Conservative systems. Structural stability and instability. Lyapunov functions. Prey-predator models Epidemic models Travelling wave fronts: Waves of advance of an advantageous gene. Waves of excitation in nerves. Waves of advance of an bibtex, epidemic. Aims: To provide an introduction to the mathematical modelling of the behaviour of solid elastic materials. Objectives: Students should be able to derive the governing equations of the theory of writting linear elasticity and be able to solve simple problems.
Topics will be chosen from the following: Revision: Kinematics of deformation, stress analysis, global balance laws, boundary conditions. Constitutive law: Properties of real materials; constitutive law for linear isotropic elasticity, Lame moduli; field equations of linear elasticity; Young's modulus, Poisson's ratio. Some simple problems of essay elastostatics: Expansion of a spherical shell, bulk modulus; deformation of assistance a block under gravity; elementary bending solution. Linear elastostatics: Strain energy function; uniqueness theorem; Betti's reciprocal theorem, mean value theorems; variational principles, application to composite materials; torsion of cylinders, Prandtl's stress function. Linear elastodynamics: Basic equations and general solutions; plane waves in unbounded media, simple reflection problems; surface waves. Aims: To teach an understanding of iterative methods for standard problems of linear algebra. Objectives: Students should know a range of modern iterative methods for solving linear systems and for solving the algebraic eigenvalue problem. They should be able to analyse their algorithms and should have an understanding of conclusions relevant practical issues. Topics will be chosen from the following: The algebraic eigenvalue problem: Gerschgorin's theorems.
The power method and its extensions. Backward Error Analysis (Bauer-Fike). The (Givens) QR factorization and the QR method for symmetric tridiagonal matrices. (Statement of convergence only). The Lanczos Procedure for reduction of a real symmetric matrix to tridiagonal form. Orthogonality properties of Lanczos iterates. Iterative Methods for Linear Systems: Convergence of stationary iteration methods. Special cases of assistance symmetric positive definite and diagonally dominant matrices. Essay? Variational principles for linear systems with real symmetric matrices. The conjugate gradient method. Krylov subspaces. Convergence.
Connection with the Lanczos method. Iterative Methods for Nonlinear Systems: Newton's Method. Convergence in 1D. Statement of algorithm for writting assistance, systems. MA30054: Representation theory of finite groups. Aims: The course explains some fundamental applications of linear algebra to greek essay, the study of finite groups. In so doing, it will show by example how one area of research assistance mathematics can enhance and enrich the study of another. Objectives: At the end of the course, the students will be able to governor's, state and prove the main theorems of Maschke and Schur and be conversant with their many applications in representation theory and character theory.
Moreover, they will be able to apply these results to problems in group theory. Topics will be chosen from the following: Group algebras, their modules and associated representations. Maschke's theorem and complete reducibility. Irreducible representations and Schur's lemma. Decomposition of the regular representation. Research? Character theory and orthogonality theorems. Teaching Conclusions? Burnside's p #097 q #098 theorem.
THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN ODD YEAR. Aims: To provide an introduction to the ideas of point-set topology culminating with a sketch of the classification of compact surfaces. As such it provides a self-contained account of one of the research writting, triumphs of 20th century mathematics as well as providing the necessary background for the Year 4 unit in Algebraic Topology. Objectives: To acquaint students with the important notion of a topology and to familiarise them with the basic theorems of political essay analysis in research assistance, their most general setting. Students will be able to distinguish between metric and topological space theory and to understand refinements, such as Hausdorff or compact spaces, and their applications. Topics will be chosen from the following: Topologies and topological spaces.
Subspaces. Bases and sub-bases: product spaces; compact-open topology. Governor's? Continuous maps and homeomorphisms. Separation axioms. Connectedness. Compactness and its equivalent characterisations in a metric space. Axiom of Choice and Zorn's Lemma.
Tychonoff's theorem. Quotient spaces. Compact surfaces and their representation as quotient spaces. Sketch of the classification of research writting compact surfaces. Aims: The aim of this course is to cover the standard introductory material in the theory of governor's functions of research writting a complex variable and to cover complex function theory up to Cauchy's Residue Theorem and its applications. Objectives: Students should end up familiar with the theory of functions of a complex variable and be capable of calculating and justifying power series, Laurent series, contour integrals and applying them. Topics will be chosen from the following: Functions of a complex variable. Continuity.
Complex series and power series. Circle of convergence. The complex plane. Regions, paths, simple and closed paths. Path-connectedness. Analyticity and the Cauchy-Riemann equations. Harmonic functions. Bibtex Dissertation? Cauchy's theorem. Assistance? Cauchy's Integral Formulae and its application to power series. Isolated zeros.
Differentiability of an analytic function. Liouville's Theorem. Zeros, poles and essential singularities. Laurent expansions. Cauchy's Residue Theorem and contour integration. Applications to real definite integrals.
Aims: To introduce students to the applications of for phd advanced analysis to the solution of PDEs. Objectives: Students should be able to obtain solutions to certain important PDEs using a variety of techniques e.g. Green's functions, separation of variables. They should also be familiar with important analytic properties of the solution. Topics will be chosen from the following: Elliptic equations in two independent variables: Harmonic functions. Writting? Mean value property. Maximum principle (several proofs). Dirichlet and Neumann problems. Representation of solutions in street journal, terms of Green's functions.
Continuous dependence of data for research writting, Dirichlet problem. Uniqueness. Parabolic equations in greek tragic essay, two independent variables: Representation theorems. Green's functions. Self-adjoint second-order operators: Eigenvalue problems (mainly by example). Separation of variables for inhomogeneous systems.
Green's function methods in general: Method of images. Use of integral transforms. Conformal mapping. Calculus of variations: Maxima and minima. Lagrange multipliers. Extrema for integral functions. Euler's equation and its special first integrals. Integral and non-integral constraints. Aims: The course is intended to be an elementary and accessible introduction to dynamical systems with examples of applications. Main emphasis will be on discrete-time systems which permits the concepts and results to be presented in a rigorous manner, within the framework of the second year core material.
Discrete-time systems will be followed by an introductory treatment of continuous-time systems and differential equations. Numerical approximation of differential equations will link with the earlier material on discrete-time systems. Objectives: An appreciation of the behaviour, and its potential complexity, of general dynamical systems through a study of discrete-time systems (which require relatively modest analytical prerequisites) and computer experimentation. Topics will be chosen from the following: Discrete-time systems. Maps from IRn to IRn . Fixed points. Periodic orbits. Assistance? #097 and #119 limit sets. Local bifurcations and stability. The logistic map and chaos. Global properties. Continuous-time systems. Periodic orbits and Poincareacute maps.
Numerical approximation of differential equations. Newton iteration as a dynamical system. Aims: The aim of the course is to introduce students to applications of partial differential equations to model problems arising in biology. The course will complement Mathematical Biology I where the emphasis was on ODEs and Difference Equations. Objectives: Students should be able to derive and interpret mathematical models of political problems arising in biology using PDEs. They should be able to perform a linearised stability analysis of a reaction-diffusion system and determine criteria for diffusion-driven instability.
They should be able to interpret the research writting, results in terms of the original biological problem. Topics will be chosen from the following: Partial Differential Equation Models: Simple random walk derivation of the diffusion equation. Solutions of the diffusion equation. Density-dependent diffusion. Conservation equation.
Reaction-diffusion equations. Chemotaxis. Examples for insect dispersal and cell aggregation. Spatial Pattern Formation: Turing mechanisms. Linear stability analysis. Conditions for diffusion-driven instability. Dispersion relation and Turing space. Scale and geometry effects.
Mode selection and dispersion relation. Applications: Animal coat markings. How the leopard got its spots. Butterfly wing patterns. Aims: To introduce the general theory of continuum mechanics and, through this, the study of viscous fluid flow.
Objectives: Students should be able to explain the basic concepts of continuum mechanics such as stress, deformation and constitutive relations, be able to formulate balance laws and be able to apply these to the solution of simple problems involving the flow of a viscous fluid. Topics will be chosen from the following: Vectors: Linear transformation of vectors. Proper orthogonal transformations. Rotation of axes. Transformation of components under rotation. Cartesian Tensors: Transformations of components, symmetry and skew symmetry. Isotropic tensors. Kinematics: Transformation of line elements, deformation gradient, Green strain.
Linear strain measure. Displacement, velocity, strain-rate. Stress: Cauchy stress; relation between traction vector and stress tensor. Global Balance Laws: Equations of motion, boundary conditions. Newtonian Fluids: The constitutive law, uniform flow, Poiseuille flow, flow between rotating cylinders. Aims: To present the theory and teaching essay application of normal linear models and generalised linear models, including estimation, hypothesis testing and confidence intervals. To describe methods of model choice and the use of residuals in diagnostic checking. Objectives: On completing the course, students should be able to research, (a) choose an appropriate generalised linear model for a given set of data; (b) fit this model using the GLIM program, select terms for inclusion in the model and assess the adequacy of a selected model; (c) make inferences on the basis of application a fitted model and recognise the assumptions underlying these inferences and possible limitations to their accuracy.
Normal linear model: Vector and matrix representation, constraints on parameters, least squares estimation, distributions of parameter and variance estimates, t-tests and confidence intervals, the Analysis of Variance, F-tests for writting, unbalanced designs. Model building: Subset selection and stepwise regression methods with applications in polynomial regression and multiple regression. Effects of greek tragic hero collinearity in regression variables. Uses of residuals: Probability plots, plots for additional variables, plotting residuals against fitted values to detect a mean-variance relationship, standardised residuals for outlier detection, masking. Generalised linear models: Exponential families, standard form, statement of asymptotic theory for i.i.d. samples, Fisher information. Linear predictors and link functions, statement of asymptotic theory for the generalised linear model, applications to z-tests and confidence intervals, #099 #178 -tests and the analysis of deviance. Residuals from generalised linear models and their uses. Applications to dose response relationships, and logistic regression.
Aims: To introduce a variety of statistical models for time series and assistance cover the main methods for analysing these models. Objectives: At the end of the course, the student should be able to. * Compute and interpret a correlogram and a sample spectrum. * derive the properties of ARIMA and state-space models. * choose an appropriate ARIMA model for a given set of data and bibtex for phd fit the model using an appropriate package. * compute forecasts for a variety of writting linear methods and models. Introduction: Examples, simple descriptive techniques, trend, seasonality, the correlogram. Solicited Application Accountant? Probability models for writting, time series: Stationarity; moving average (MA), autoregressive (AR), ARMA and ARIMA models. Estimating the autocorrelation function and fitting ARIMA models. Forecasting: Exponential smoothing, Forecasting from ARIMA models.
Stationary processes in the frequency domain: The spectral density function, the periodogram, spectral analysis. State-space models: Dynamic linear models and the Kalman filter. Aims: To introduce students to the use of statistical methods in bibtex for phd dissertation, medical research, the pharmaceutical industry and the National Health Service. Objectives: Students should be able to. (a) recognize the key statistical features of a medical research problem, and, where appropriate, suggest an appropriate study design, (b) understand the ethical considerations and practical problems that govern medical experimentation, (c) summarize medical data and spot possible sources of assistance bias, (d) analyse data collected from some types of clinical trial, as well as simple survival data and longitudinal data.
Ethical considerations in clinical trials and other types of epidemiological study design. Phases I to IV of drug development and political essay testing. Design of clinical trials: Defining the patient population, the trial protocol, possible sources of bias, randomisation, blinding, use of placebo treatment, sample size calculations. Analysis of clinical trials: patient withdrawals, intent to treat criterion for inclusion of patients in analysis. Survival data: Life tables, censoring.
Kaplan-Meier estimate. Selected topics from: Crossover trials; Case-control and cohort studies; Binary data; Measurement of clinical agreement; Mendelian inheritance; More on survival data: Parametric models for censored survival data, Greenwood's formula, The proportional hazards model, logrank test, Cox's proportional hazards model. Throughout the course, there will be emphasis on drawing sound conclusions and on the ability to explain and interpret numerical data to non-statistical clients. MA30087: Optimisation methods of operational research. Aims: To present methods of optimisation commonly used in OR, to explain their theoretical basis and give an appreciation of the variety of areas in which they are applicable. Objectives: On completing the course, students should be able to. * Recognise practical problems where optimisation methods can be used effectively.
* Implement appropriate algorithms, and understand their procedures. * Understand the underlying theory of linear programming problems, especially duality. The Nature of OR: Brief introduction. Research Writting? Linear Programming: Basic solutions and letter graduate the fundamental theorem. The simplex algorithm, two phase method for an initial solution. Interpretation of the optimal tableau. Applications of LP. Duality. Topics selected from: Sensitivity analysis and the dual simplex algorithm. Brief discussion of writting Karmarkar's method.
The transportation problem and its applications, solution by Dantzig's method. Network flow problems, the Ford-Fulkerson theorem. Non-linear Programming: Revision of classical Lagrangian methods. Kuhn-Tucker conditions, necessity and sufficiency. Illustration by application to quadratic programming. MA30089: Applied probability finance.
Aims: To develop and apply the governor's school essay, theory of probability and stochastic processes to examples from finance and research writting assistance economics. Objectives: At the end of the amy chua essay wall, course, students should be able to. * formulate mathematically, and then solve, dynamic programming problems. * price an option on writting, a stock modelled by essay street, a log of a random walk. * perform simple calculations involving properties of Brownian motion. Dynamic programming: Markov decision processes, Bellman equation; examples including consumption/investment, bid acceptance, optimal stopping. Infinite horizon problems; discounted programming, the Howard Improvement Lemma, negative and assistance positive programming, simple examples and counter-examples. Option pricing for random walks: Arbitrage pricing theory, prices and wall journal discounted prices as Martingales, hedging.
Brownian motion: Introduction to Brownian motion, definition and simple properties. Exponential Brownian motion as the model for a stock price, the Black-Scholes formula. Aims: To develop skills in the analysis of multivariate data and study the related theory. Objectives: Be able to carry out a preliminary analysis of research writting assistance multivariate data and select and apply an appropriate technique to look for structure in such data or achieve dimensionality reduction. Be able to carry out classical multivariate inferential techniques based on the multivariate normal distribution. Introduction, Preliminary analysis of multivariate data. Revision of relevant matrix algebra. Principal components analysis: Derivation and views essay interpretation; approximate reduction of dimensionality; scaling problems. Multidimensional distributions: The multivariate normal distribution - properties and assistance parameter estimation. One and two-sample tests on governor's, means, Hotelling's T-squared.
Canonical correlations and canonical variables; discriminant analysis. Research Writting? Topics selected from: Factor analysis. The multivariate linear model. Metrics and similarity coefficients; multidimensional scaling. Cluster analysis. Correspondence analysis.
Classification and regression trees. Aims: To give students experience in tackling a variety of real-life statistical problems. Objectives: During the course, students should become proficient in. * formulating a problem and carrying out an exploratory data analysis. * tackling non-standard, messy data. * presenting the results of an analysis in a clear report. Formulating statistical problems: Objectives, the importance of the initial examination of letter graduate accountant data. Analysis: Model-building. Choosing an appropriate method of analysis, verification of research writting assumptions. Presentation of results: Report writing, communication with non-statisticians. Using resources: The computer, the solicited application letter for fresh graduate accountant, library.
Project topics may include: Exploratory data analysis. Practical aspects of sample surveys. Fitting general and generalised linear models. The analysis of standard and non-standard data arising from research writting assistance theoretical work in other blocks. MA30092: Classical statistical inference. Aims: To develop a formal basis for methods of statistical inference including criteria for the comparison of amy chua essay procedures. Writting? To give an in depth description of the asymptotic theory of amy chua essay street journal maximum likelihood methods and hypothesis testing. Objectives: On completing the course, students should be able to: * calculate properties of estimates and hypothesis tests. * derive efficient estimates and tests for a broad range of problems, including applications to a variety of research writting assistance standard distributions.
Revision of standard distributions: Bernoulli, binomial, Poisson, exponential, gamma and normal, and their interrelationships. Sufficiency and Exponential families. Point estimation: Bias and variance considerations, mean squared error. Rao-Blackwell theorem. Cramer-Rao lower bound and political essay efficiency. Unbiased minimum variance estimators and a direct appreciation of efficiency through some examples. Bias reduction. Asymptotic theory for maximum likelihood estimators.
Hypothesis testing: Hypothesis testing, review of the assistance, Neyman-Pearson lemma and maximisation of power. Maximum likelihood ratio tests, asymptotic theory. Application Letter For Fresh Graduate Accountant? Compound alternative hypotheses, uniformly most powerful tests. Research Assistance? Compound null hypotheses, monotone likelihood ratio property, uniformly most powerful unbiased tests. Solicited Letter? Nuisance parameters, generalised likelihood ratio tests. MMath study year abroad. This unit is designed primarily for DBA Final Year students who have taken the First and Second Year management statistics units but is also available for Final Year Statistics students from the Department of Mathematical Sciences. Well qualified students from the IMML course would also be considered.
It introduces three statistical topics which are particularly relevant to Management Science, namely quality control, forecasting and decision theory. Aims: To introduce some statistical topics which are particularly relevant to Management Science. Objectives: On completing the unit, students should be able to implement some quality control procedures, and some univariate forecasting procedures. They should also understand the writting assistance, ideas of decision theory. Quality Control: Acceptance sampling, single and double schemes, SPRT applied to sequential scheme. Process control, Shewhart charts for bibtex for phd, mean and research writting range, operating characteristics, ideas of cusum charts.
Practical forecasting. Time plot. Trend-and-seasonal models. Exponential smoothing. Street Journal? Holt's linear trend model and Holt-Winters seasonal forecasting. Autoregressive models.
Box-Jenkins ARIMA forecasting. Introduction to decision analysis for discrete events: Revision of Bayes' Theorem, admissability, Bayes' decisions, minimax. Decision trees, expected value of perfect information. Utility, subjective probability and its measurement. MA30125: Markov processes applications. Aims: To study further Markov processes in assistance, both discrete and continuous time. To apply results in areas such genetics, biological processes, networks of queues, telecommunication networks, electrical networks, resource management, random walks and elsewhere. Objectives: On completing the course, students should be able to. * Formulate appropriate Markovian models for a variety of real life problems and governor's school essay apply suitable theoretical results to obtain solutions.
* Classify a variety of birth-death processes as explosive or non-explosive. * Find the Q-matrix of a time-reversed chain and make effective use of time reversal. Topics covering both discrete and research writting continuous time Markov chains will be chosen from: Genetics, the Wright-Fisher and Moran models. Epidemics. Telecommunication models, blocking probabilities of Erlang and Engset. Models of interference in communication networks, the tragic essay, ALOHA model. Series of M/M/s queues. Open and closed migration processes. Explosions.
Birth-death processes. Research Assistance? Branching processes. Resource management. Graduate? Electrical networks. Random walks, reflecting random walks as queuing models in one or more dimensions. The strong Markov property. The Poisson process in time and space. Other applications. Aims: To satisfy as many of the objectives as possible as set out in the individual project proposal.
Objectives: To produce the deliverables identified in writting, the individual project proposal. Defined in the individual project proposal. MA30170: Numerical solution of solicited for fresh PDEs I. Aims: To teach numerical methods for elliptic and research assistance parabolic partial differential equations via the finite element method based on variational principles. Objectives: At the end of the course students should be able to derive and implement the finite element method for a range of standard elliptic and parabolic partial differential equations in one and several space dimensions. They should also be able to derive and use elementary error estimates for these methods.
* Variational and weak form of elliptic PDEs. Amy Chua Journal? Natural, essential and mixed boundary conditions. Linear and quadratic finite element approximation in one and several space dimensions. An introduction to convergence theory. * System assembly and solution, isoparametric mapping, quadrature, adaptivity.
* Applications to PDEs arising in applications. * Brief introduction to research assistance, time dependent problems. Aims: The aim is to explore pure mathematics from a problem-solving point of political views essay view. Writting Assistance? In addition to conventional lectures, we aim to encourage students to work on solving problems in small groups, and to give presentations of solicited solutions in workshops. Objectives: At the end of the course, students should be proficient in formulating and testing conjectures, and will have a wide experience of different proof techniques. The topics will be drawn from cardinality, combinatorial questions, the foundations of measure, proof techniques in algebra, analysis, geometry and topology. Aims: This is an advanced pure mathematics course providing an introduction to writting assistance, classical algebraic geometry via plane curves. It will show some of the links with other branches of mathematics. Objectives: At the end of the teaching essay, course students should be able to use homogeneous coordinates in projective space and to distinguish singular points of plane curves.
They should be able to demonstrate an understanding of the difference between rational and nonrational curves, know examples of both, and be able to describe some special features of plane cubic curves. To be chosen from: Affine and projective space. Polynomial rings and assistance homogeneous polynomials. Ideals in the context of polynomial rings,the Nullstellensatz. Plane curves; degree; Bezout's theorem. Letter? Singular points of plane curves. Rational maps and morphisms; isomorphism and birationality. Curves of low degree (up to 3). Genus. Elliptic curves; the group law, nonrationality, the j invariant. Writting? Weierstrass p function.
Quadric surfaces; curves of quadrics. Duals. THIS UNIT IS ONLY AVAILABLE IN ACADEMIC YEARS STARTING IN AN EVEN YEAR. Aims: The course will provide a solid introduction to one of the Big Machines of modern mathematics which is also a major topic of current research. In particular, this course provides the necessary prerequisites for post-graduate study of Algebraic Topology.
Objectives: At the end of the course, the students will be conversant with the basic ideas of homotopy theory and, in particular, will be able to teaching, compute the assistance, fundamental group of several topological spaces. Topics will be chosen from the essay conclusions, following: Paths, homotopy and writting the fundamental group. Homotopy of maps; homotopy equivalence and deformation retracts. Computation of the fundamental group and bibtex dissertation applications: Fundamental Theorem of Algebra; Brouwer Fixed Point Theorem. Covering spaces. Path-lifting and homotopy lifting properties. Deck translations and the fundamental group. Research? Universal covers. Loop spaces and bibtex for phd dissertation their topology. Inductive definition of higher homotopy groups.
Long exact sequence in homotopy for fibrations. MA40042: Measure theory integration. Aims: The purpose of this course is to lay the basic technical foundations and establish the main principles which underpin the classical notions of area, volume and the related idea of an assistance, integral. Objectives: The objective is to familiarise students with measure as a tool in political views essay, analysis, functional analysis and probability theory. Students will be able to quote and apply the research writting assistance, main inequalities in the subject, and to understand their significance in solicited application for fresh accountant, a wide range of contexts. Students will obtain a full understanding of the writting, Lebesgue Integral. Topics will be chosen from the following: Measurability for sets: algebras, #115 -algebras, #112 -systems, d-systems; Dynkin's Lemma; Borel #115 -algebras. Measure in the abstract: additive and solicited #115 -additive set functions; monotone-convergence properties; Uniqueness Lemma; statement of Caratheodory's Theorem and discussion of the #108 -set concept used in its proof; full proof on handout. Lebesgue measure on IRn: existence; inner and outer regularity. Measurable functions.
Sums, products, composition, lim sups, etc; The Monotone-Class Theorem. Probability. Sample space, events, random variables. Independence; rigorous statement of the Strong Law for coin tossing. Integration.
Integral of a non-negative functions as sup of the integrals of simple non-negative functions dominated by assistance, it. Monotone-Convergence Theorem; 'Additivity'; Fatou's Lemma; integral of 'signed' function; definition of Lp and of L p; linearity; Dominated-Convergence Theorem - with mention that it is not the `right' result. Product measures: definition; uniqueness; existence; Fubini's Theorem. Absolutely continuous measures: the idea; effect on integrals. Statement of the Radon-Nikodm Theorem. Inequalities: Jensen, Holder, Minkowski.
Completeness of Lp. Aims: To introduce and study abstract spaces and general ideas in analysis, to tragic hero, apply them to examples, to lay the foundations for the Year 4 unit in Functional analysis and to motivate the Lebesgue integral. Objectives: By the end of the research, unit, students should be able to state and prove the principal theorems relating to uniform continuity and uniform convergence for real functions on metric spaces, compactness in spaces of continuous functions, and elementary Hilbert space theory, and to essay, apply these notions and the theorems to simple examples. Topics will be chosen from:Uniform continuity and research assistance uniform limits of continuous functions on [0,1]. Political? Abstract Stone-Weierstrass Theorem. Uniform approximation of continuous functions. Polynomial and trigonometric polynomial approximation, separability of writting assistance C[0,1]. Total Boundedness. Diagonalisation. Ascoli-Arzelagrave Theorem.
Complete metric spaces. Baire Category Theorem. Nowhere differentiable function. Tragic Hero Essay? Picard's theorem for x = f(x,t). Research? Metric completion M of a metric space M. Real inner product spaces. Hilbert spaces.
Cauchy-Schwarz inequality, parallelogram identity. Examples: l #178 , L #178 [0,1] := C[0,1]. Separability of L #178 . Orthogonality, Gram-Schmidt process. Bessel's inequality, Pythagoras' Theorem. Projections and subspaces. Orthogonal complements. Riesz Representation Theorem. Complete orthonormal sets in for phd, separable Hilbert spaces. Completeness of trigonometric polynomials in L #178 [0,1].
Fourier Series. Aims: A treatment of the qualitative/geometric theory of dynamical systems to a level that will make accessible an area of mathematics (and allied disciplines) that is highly active and rapidly expanding. Objectives: Conversance with concepts, results and techniques fundamental to the study of qualitative behaviour of dynamical systems. An ability to investigate stability of equilibria and periodic orbits. A basic understanding and appreciation of bifurcation and chaotic behaviour.
Topics will be chosen from the following: Stability of equilibria. Lyapunov functions. Invariance principle. Periodic orbits. Research? Poincareacute maps. Hyperbolic equilibria and orbits. Stable and unstable manifolds. Nonhyperbolic equilibria and orbits. Centre manifolds. Bifurcation from school essay a simple eigenvalue. Introductory treatment of chaotic behaviour.
Horseshoe maps. Symbolic dynamics. MA40048: Analytical geometric theory of differential equations. Aims: To give a unified presention of systems of ordinary differential equations that have a Hamiltonian or Lagrangian structure. Geomtrical and analytical insights will be used to prove qualitative properties of solutions. These ideas have generated many developments in modern pure mathematics, such as sympletic geometry and ergodic theory, besides being applicable to the equations of classical mechanics, and motivating much of modern physics. Objectives: Students will be able to state and prove general theorems for Lagrangian and Hamiltonian systems.
Based on these theoretical results and key motivating examples they will identify general qualitative properties of solutions of these systems. Lagrangian and Hamiltonian systems, phase space, phase flow, variational principles and Euler-Lagrange equations, Hamilton's Principle of least action, Legendre transform, Liouville's Theorem, Poincare recurrence theorem, Noether's Theorem. MA40050: Nonlinear equations bifurcations. Aims: To extend the real analysis of research assistance implicitly defined functions into the numerical analysis of iterative methods for computing such functions and to teach an awareness of practical issues involved in applying such methods. Objectives: The students should be able to solve a variety of nonlinear equations in wall, many variables and should be able to assess the performance of their solution methods using appropriate mathematical analysis. Topics will be chosen from the following: Solution methods for nonlinear equations: Newtons method for systems. Research? Quasi-Newton Methods.
Eigenvalue problems. Theoretical Tools: Local Convergence of teaching essay Newton's Method. Implicit Function Theorem. Bifcurcation from the trivial solution. Applications: Exothermic reaction and buckling problems. Research? Continuous and discrete models. Analysis of parameter-dependent two-point boundary value problems using the shooting method.
Practical use of the shooting method. The Lyapunov-Schmidt Reduction. Application to analysis of discretised boundary value problems. Governor's? Computation of solution paths for systems of nonlinear algebraic equations. Research Writting Assistance? Pseudo-arclength continuation. Homotopy methods. Computation of turning points. Bordered systems and their solution.
Exploitation of symmetry. Hopf bifurcation. Numerical Methods for Optimization: Newton's method for unconstrained minimisation, Quasi-Newton methods. Aims: To introduce the theory of infinite-dimensional normed vector spaces, the linear mappings between them, and spectral theory. Objectives: By the end of the unit, the students should be able to state and prove the principal theorems relating to Banach spaces, bounded linear operators, compact linear operators, and spectral theory of compact self-adjoint linear operators, and apply these notions and theorems to letter for fresh accountant, simple examples.
Topics will be chosen from the following: Normed vector spaces and their metric structure. Banach spaces. Young, Minkowski and writting Holder inequalities. Examples - IRn, C[0,1], l p, Hilbert spaces. Riesz Lemma and finite-dimensional subspaces. The space B(X,Y) of bounded linear operators is a Banach space when Y is complete. Dual spaces and second duals.
Uniform Boundedness Theorem. Open Mapping Theorem. Closed Graph Theorem. Projections onto closed subspaces. Invertible operators form an open set. Power series expansion for (I-T)- #185 . Compact operators on Banach spaces. Spectrum of an operator - compactness of spectrum. Operators on teaching essay conclusions, Hilbert space and their adjoints. Spectral theory of self-adjoint compact operators.
Zorn's Lemma. Hahn-Banach Theorem. Canonical embedding of X in X* * is assistance isometric, reflexivity. Simple applications to weak topologies. Aims: To stimulate through theory and especially examples, an interest and appreciation of the power of this elegant method in analysis and probability. Applications of the theory are at the heart of this course. Objectives: By the end of the course, students should be familiar with the main results and techniques of teaching essay discrete time martingale theory. They will have seen applications of martingales in proving some important results from research assistance classical probability theory, and they should be able to recognise and apply martingales in solving a variety of more elementary problems. Topics will be chosen from the following: Review of fundamental concepts. Conditional expectation. Martingales, stopping times, Optional-Stopping Theorem.
The Convergence Theorem. L #178 -bounded martingales, the random-signs problem. Angle-brackets process, Leacutevy's Borel-Cantelli Lemma. Uniform integrability. UI martingales, the Downward Theorem, the Strong Law, the bibtex, Submartingale Inequality. Research Assistance? Likelihood ratio, Kakutani's theorem. MA40061: Nonlinear optimal control theory. Aims: Four concepts underpin control theory: controllability, observability, stabilizability and optimality. Of these, the first two essentially form the bibtex for phd, focus of the Year 3/4 course on linear control theory. In this course, the latter notions of stabilizability and optimality are developed. Together, the courses on linear control theory and research assistance nonlinear optimal control provide a firm foundation for participating in theoretical and practical developments in an active and expanding discipline.
Objectives: To present concepts and hero essay results pertaining to robustness, stabilization and optimization of (nonlinear) finite-dimensional control systems in a rigorous manner. Writting? Emphasis is placed on solicited letter for fresh accountant, optimization, leading to conversance with both the Bellman-Hamilton-Jacobi approach and the maximum principle of writting Pontryagin, together with their application. Topics will be chosen from the following: Controlled dynamical systems: nonlinear systems and linearization. Stability and robustness. Stabilization by feedback. Lyapunov-based design methods. Stability radii. Small-gain theorem. Optimal control.
Value function. Views? The Bellman-Hamilton-Jacobi equation. Verification theorem. Quadratic-cost control problem for linear systems. Riccati equations. The Pontryagin maximum principle and transversality conditions (a dynamic programming derivation of a restricted version and statement of the general result with applications). Proof of the maximum principle for the linear time-optimal control problem.
MA40062: Ordinary differential equations. Aims: To provide an accessible but rigorous treatment of initial-value problems for nonlinear systems of ordinary differential equations. Research Assistance? Foundations will be laid for advanced studies in dynamical systems and control. The material is also useful in mathematical biology and numerical analysis. Objectives: Conversance with existence theory for the initial-value problem, locally Lipschitz righthand sides and uniqueness, flow, continuous dependence on initial conditions and journal parameters, limit sets. Topics will be chosen from the research writting, following: Motivating examples from graduate accountant diverse areas. Writting Assistance? Existence of school essay solutions for the initial-value problem. Research Assistance? Uniqueness.
Maximal intervals of existence. For Phd? Dependence on initial conditions and parameters. Flow. Global existence and assistance dynamical systems. Limit sets and attractors. Aims: To satisfy as many of the objectives as possible as set out in the individual project proposal.
Objectives: To produce the deliverables identified in the individual project proposal. Defined in the individual project proposal. MA40171: Numerical solution of PDEs II. Aims: To teach an understanding of linear stability theory and its application to ODEs and evolutionary PDEs. Objectives: The students should be able to for phd, analyse the stability and convergence of a range of numerical methods and research writting assess the practical performance of these methods through computer experiments. Solution of application initial value problems for ODEs by Linear Multistep methods: local accuracy, order conditions; formulation as a one-step method; stability and convergence. Introduction to physically relevant PDEs. Assistance? Well-posed problems.
Truncation error; consistency, stability, convergence and the Lax Equivalence Theorem; techniques for finding the stability properties of particular numerical methods. Numerical methods for tragic hero essay, parabolic and hyperbolic PDEs. MA40189: Topics in Bayesian statistics. Aims: To introduce students to the ideas and techniques that underpin the theory and practice of the Bayesian approach to statistics. Objectives: Students should be able to formulate the Bayesian treatment and analysis of many familiar statistical problems. Bayesian methods provide an alternative approach to data analysis, which has the ability to incorporate prior knowledge about a parameter of interest into research writting assistance, the statistical model. The prior knowledge takes the form of a prior (to sampling) distribution on the parameter space, which is updated to a posterior distribution via Bayes' Theorem, using the data. Summaries about the parameter are described using the posterior distribution.
The Bayesian Paradigm; decision theory; utility theory; exchangeability; Representation Theorem; prior, posterior and predictive distributions; conjugate priors. Solicited Application? Tools to undertake a Bayesian statistical analysis will also be introduced. Simulation based methods such as Markov Chain Monte Carlo and importance sampling for use when analytical methods fail. Aims: The course is intended to provide an elementary and assessible introduction to the state-space theory of linear control systems. Main emphasis is on continuous-time autonomous systems, although discrete-time systems will receive some attention through sampling of continuous-time systems. Contact with classical (Laplace-transform based) control theory is made in writting, the context of realization theory.
Objectives: To instill basic concepts and results from control theory in a rigorous manner making use of elementary linear algebra and linear ordinary differential equations. For Phd? Conversance with controllability, observability, stabilizabilty and realization theory in a linear, finite-dimensional context. Content: Topics will be chosen from the following: Controlled and observed dynamical systems: definitions and classifications. Controllability and observability: Gramians, rank conditions, Hautus criteria, controllable and unobservable subspaces. Input-output maps. Transfer functions and state-space realizations. State feedback: stabilizability and pole placement. Observers and output feedback: detectability, asymptotic state estimation, stabilization by dynamic feedback.
Discrete-time systems: z-transform, deadbeat control and observation. Sampling of continuous-time systems: controllability and observability under sampling. Aims: To introduce students to the applications of advanced analysis to the solution of PDEs. Objectives: Students should be able to obtain solutions to certain important PDEs using a variety of techniques e.g. Green's functions, separation of variables. They should also be familiar with important analytic properties of the solution.
Content: Topics will be chosen from the following: Elliptic equations in two independent variables: Harmonic functions. Mean value property. Maximum principle (several proofs). Dirichlet and Neumann problems. Representation of solutions in terms of Green's functions. Continuous dependence of data for Dirichlet problem. Uniqueness. Parabolic equations in two independent variables: Representation theorems. Green's functions. Self-adjoint second-order operators: Eigenvalue problems (mainly by example).
Separation of variables for inhomogeneous systems. Green's function methods in general: Method of images. Use of research integral transforms. Conformal mapping. Calculus of political essay variations: Maxima and minima. Lagrange multipliers. Extrema for integral functions. Euler's equation and its special first integrals. Integral and non-integral constraints.
Aims: The aim of the research writting assistance, course is to introduce students to applications of partial differential equations to model problems arising in biology. Hero Essay? The course will complement Mathematical Biology I where the emphasis was on ODEs and Difference Equations. Objectives: Students should be able to derive and interpret mathematical models of writting problems arising in biology using PDEs. They should be able to perform a linearised stability analysis of a reaction-diffusion system and determine criteria for diffusion-driven instability. They should be able to interpret the results in terms of the original biological problem. Content: Topics will be chosen from the following: Partial Differential Equation Models: Simple random walk derivation of the diffusion equation. Solutions of the diffusion equation.
Density-dependent diffusion. Conservation equation. Reaction-diffusion equations. Chemotaxis. Views Essay? Examples for insect dispersal and research writting assistance cell aggregation. Spatial Pattern Formation: Turing mechanisms. Linear stability analysis.
Conditions for diffusion-driven instability. Dispersion relation and Turing space. Scale and geometry effects. Mode selection and dispersion relation. Applications: Animal coat markings.
How the leopard got its spots. Butterfly wing patterns. Aims: To introduce the general theory of continuum mechanics and, through this, the study of viscous fluid flow. Objectives: Students should be able to explain the basic concepts of continuum mechanics such as stress, deformation and constitutive relations, be able to formulate balance laws and be able to apply these to the solution of simple problems involving the flow of greek a viscous fluid. Content: Topics will be chosen from the research, following: Vectors: Linear transformation of vectors. Proper orthogonal transformations. Rotation of axes. Transformation of components under rotation. Cartesian Tensors: Transformations of components, symmetry and skew symmetry.
Isotropic tensors. Kinematics: Transformation of line elements, deformation gradient, Green strain. Linear strain measure. Displacement, velocity, strain-rate. Stress: Cauchy stress; relation between traction vector and stress tensor. Global Balance Laws: Equations of motion, boundary conditions. Newtonian Fluids: The constitutive law, uniform flow, Poiseuille flow, flow between rotating cylinders. Aims: To present the theory and amy chua essay wall application of normal linear models and generalised linear models, including estimation, hypothesis testing and confidence intervals.
To describe methods of model choice and the use of residuals in diagnostic checking. To facilitate an in-depth understanding of the assistance, topic. Objectives: On completing the course, students should be able to. (a) choose an political essay, appropriate generalised linear model for a given set of data; (b) fit this model using the GLIM program, select terms for inclusion in the model and assistance assess the adequacy of a selected model; (c) make inferences on the basis of a fitted model and recognise the assumptions underlying these inferences and possible limitations to their accuracy; (d) demonstrate an in-depth understanding of the topic. Content: Normal linear model: Vector and matrix representation, constraints on parameters, least squares estimation, distributions of parameter and variance estimates, t-tests and application graduate accountant confidence intervals, the Analysis of Variance, F-tests for research, unbalanced designs.
Model building: Subset selection and stepwise regression methods with applications in polynomial regression and multiple regression. Effects of collinearity in political views, regression variables. Uses of residuals: Probability plots, plots for additional variables, plotting residuals against fitted values to detect a mean-variance relationship, standardised residuals for outlier detection, masking. Generalised linear models: Exponential families, standard form, statement of asymptotic theory for i.i.d. samples, Fisher information. Linear predictors and link functions, statement of asymptotic theory for the generalised linear model, applications to z-tests and confidence intervals, #099 #178 -tests and the analysis of deviance. Writting Assistance? Residuals from greek hero essay generalised linear models and their uses. Writting? Applications to dose response relationships, and logistic regression. Aims: To introduce a variety of statistical models for time series and cover the main methods for analysing these models.
To facilitate an in-depth understanding of the essay, topic. Objectives: At the end of the research writting, course, the student should be able to: * Compute and interpret a correlogram and a sample spectrum; * derive the properties of bibtex ARIMA and state-space models; * choose an writting assistance, appropriate ARIMA model for a given set of data and fit the model using an appropriate package; * compute forecasts for a variety of linear methods and models; * demonstrate an in-depth understanding of the topic. Content: Introduction: Examples, simple descriptive techniques, trend, seasonality, the correlogram. Probability models for time series: Stationarity; moving average (MA), autoregressive (AR), ARMA and ARIMA models. Estimating the autocorrelation function and fitting ARIMA models. Forecasting: Exponential smoothing, Forecasting from ARIMA models. Stationary processes in the frequency domain: The spectral density function, the periodogram, spectral analysis. State-space models: Dynamic linear models and the Kalman filter. MA50089: Applied probability finance. Aims: To develop and apply the theory of political views essay probability and stochastic processes to writting, examples from finance and economics.
To facilitate an in-depth understanding of the topic. Objectives: At the end of the course, students should be able to: * formulate mathematically, and then solve, dynamic programming problems; * price an option on a stock modelled by a log of a random walk; * perform simple calculations involving properties of essay Brownian motion; * demonstrate an in-depth understanding of the topic. Content: Dynamic programming: Markov decision processes, Bellman equation; examples including consumption/investment, bid acceptance, optimal stopping. Infinite horizon problems; discounted programming, the Howard Improvement Lemma, negative and writting assistance positive programming, simple examples and views counter-examples. Option pricing for random walks: Arbitrage pricing theory, prices and discounted prices as Martingales, hedging. Brownian motion: Introduction to Brownian motion, definition and simple properties.Exponential Brownian motion as the model for a stock price, the Black-Scholes formula. Aims: To develop skills in the analysis of multivariate data and study the related theory.
To facilitate an in-depth understanding of the writting assistance, topic. Objectives: Be able to carry out a preliminary analysis of multivariate data and select and apply an bibtex for phd, appropriate technique to look for structure in such data or achieve dimensionality reduction. Be able to carry out classical multivariate inferential techniques based on the multivariate normal distribution. Be able to writting assistance, demonstrate an in-depth understanding of the topic. Content: Introduction, Preliminary analysis of multivariate data. Revision of relevant matrix algebra. Principal components analysis: Derivation and interpretation; approximate reduction of dimensionality; scaling problems. Multidimensional distributions: The multivariate normal distribution - properties and parameter estimation.
One and two-sample tests on essay, means, Hotelling's T-squared. Assistance? Canonical correlations and canonical variables; discriminant analysis. Topics selected from: Factor analysis. The multivariate linear model. Metrics and similarity coefficients; multidimensional scaling. Bibtex For Phd? Cluster analysis. Correspondence analysis. Classification and regression trees.
MA50092: Classical statistical inference. Aims: To develop a formal basis for methods of statistical inference including criteria for the comparison of procedures. To give an in depth description of the asymptotic theory of maximum likelihood methods. To facilitate an in-depth understanding of the topic. Objectives: On completing the course, students should be able to: * calculate properties of estimates and hypothesis tests; * derive efficient estimates and tests for a broad range of problems, including applications to a variety of standard distributions; * demonstrate an research assistance, in-depth understanding of the topic. Revision of standard distributions: Bernoulli, binomial, Poisson, exponential, gamma and normal, and their interrelationships. Sufficiency and Exponential families. Point estimation: Bias and variance considerations, mean squared error. Rao-Blackwell theorem. Cramer-Rao lower bound and efficiency.
Unbiased minimum variance estimators and a direct appreciation of efficiency through some examples. Bias reduction. Asymptotic theory for maximum likelihood estimators. Hypothesis testing: Hypothesis testing, review of the Neyman-Pearson lemma and maximisation of power. Maximum likelihood ratio tests, asymptotic theory. Compound alternative hypotheses, uniformly most powerful tests. Essay? Compound null hypotheses, monotone likelihood ratio property, uniformly most powerful unbiased tests. Nuisance parameters, generalised likelihood ratio tests. MA50125: Markov processes applications. Aims: To study further Markov processes in both discrete and continuous time.
To apply results in areas such genetics, biological processes, networks of queues, telecommunication networks, electrical networks, resource management, random walks and elsewhere. To facilitate an in-depth understanding of the topic. Objectives: On completing the course, students should be able to: * Formulate appropriate Markovian models for a variety of real life problems and apply suitable theoretical results to obtain solutions; * Classify a variety of birth-death processes as explosive or non-explosive; * Find the Q-matrix of a time-reversed chain and make effective use of time reversal; * Demonstrate an in-depth understanding of the topic. Content: Topics covering both discrete and continuous time Markov chains will be chosen from: Genetics, the Wright-Fisher and Moran models. Epidemics.
Telecommunication models, blocking probabilities of research assistance Erlang and Engset. Essay Conclusions? Models of interference in communication networks, the ALOHA model. Series of M/M/s queues. Open and closed migration processes. Explosions. Birth-death processes. Writting? Branching processes.
Resource management. Electrical networks. Random walks, reflecting random walks as queuing models in views, one or more dimensions. The strong Markov property. The Poisson process in time and space. Other applications. MA50170: Numerical solution of research PDEs I.
Aims: To teach numerical methods for elliptic and parabolic partial differential equations via the greek hero essay, finite element method based on variational principles. Objectives: At the end of the course students should be able to derive and research writting assistance implement the finite element method for a range of standard elliptic and parabolic partial differential equations in greek tragic hero essay, one and several space dimensions. They should also be able to derive and use elementary error estimates for these methods. Variational and weak form of elliptic PDEs. Natural, essential and mixed boundary conditions. Linear and quadratic finite element approximation in one and several space dimensions. An introduction to convergence theory. System assembly and solution, isoparametric mapping, quadrature, adaptivity. Applications to PDEs arising in research writting assistance, applications. Parabolic problems: methods of lines, and solicited application letter for fresh simple timestepping procedures. Stability and convergence.
MA50174: Theory methods 1b-differential equations: computation and applications. Content: Introduction to Maple and Matlab and their facilities: basic matrix manipulation, eigenvalue calculation, FFT analysis, special functions, solution of simultaneous linear and nonlinear equations, simple optimization. Basic graphics, data handling, use of toolboxes. Research? Problem formulation and solution using Matlab. Numerical methods for solving ordinary differential equations: Matlab codes and student written codes.
Convergence and Stability. Shooting methods, finite difference methods and spectral methods (using FFT). Sample case studies chosen from: the two body problem, the three body problem, combustion, nonlinear control theory, the Lorenz equations, power electronics, Sturm-Liouville theory, eigenvalues, and orthogonal basis expansions. Finite Difference Methods for classical PDEs: the wave equation, the political essay, heat equation, Laplace's equation. MA50175: Theory methods 2 - topics in differential equations. Aims: To describe the theory and phenomena associated with hyperbolic conservation laws, typical examples from applications areas, and their numerical approximation; and to research writting, introduce students to the literature on the subject.
Objectives: At the for phd dissertation, end of the course, students should be able to recognise the assistance, importance of conservation principles and be familiar with phenomena such as shocks and rarefaction waves; and they should be able to views essay, choose appropriate numerical methods for their approximation, analyse their behaviour, and implement them through Matlab programs. Content: Scalar conservation laws in 1D: examples, characteristics, shock formation, viscosity solutions, weak solutions, need for an entropy condition, total variation, existence and uniqueness of solutions.Design of writting assistance conservative numerical methods for hyperbolic systems: interface fluxes, Roe's first order scheme, Lax-Wendroff methods, finite volume methods, TVD schemes and solicited graduate accountant the Harten theorem, Engquist-Osher method. The Riemann problem: shocks and assistance the Hugoniot locus, isothermal flow and the shallow water equations, the Godunov method, Euler equations of compressible fluid flow. Teaching? System wave equation in writting assistance, 2D. R.J. LeVeque, Numerical Methods for Conservation Laws (2nd Edition), Birkhuser, 1992. K.W. Morton D.F. Mayers, Numerical Solution of Partial Differential Equations, CUP, 1994.R.J. LeVeque, Finite Volume Methods for Hyperbolic Problems, CUP, 2002. MA50176: Methods applications 1: case studies in mathematical modelling and industrial mathematics.
Content: Applications of the theory and techniques learnt in bibtex for phd, the prerequisites to solve real problems drawn from from the industrial collaborators and/or from the industrially related research work of the writting assistance, key staff involved. Instruction and practical experience of a set of problem solving methods and techniques, such as methods for simplifying a problem, scalings, perturbation methods, asymptotic methods, construction of similarity solutions. Comparison of mathematical models with experimental data. Development and refinement of mathematical models. Case studies will be taken from micro-wave cooking, Stefan problems, moulding glass, contamination in pipe networks, electrostatic filtering, DC-DC conversion, tests for elasticity. Students will work in teams under the pressure of school project deadlines. They will attend lectures given by external industrialists describing the application of mathematics in an industrial context.
They will write reports and give presentations on the case studies making appropriate use of computer methods, graphics and communication skills. MA50177: Methods and applications 2: scientific computing. Content: Units, complexity, analysis of algorithms, benchmarks. Floating point arithmetic. Programming in Fortran90: Makefiles, compiling, timing, profiling. Data structures, full and sparse matrices. Libraries: BLAS, LAPACK, NAG Library. Visualisation. Handling modules in other languages such as C, C++. Software on the Web: Netlib, GAMS.
Parallel Computation: Vectorisation, SIMD, MIMD, MPI. Performance indicators. Case studies illustrating the lectures will be chosen from the topics:Finite element implementation, iterative methods, preconditioning; Adaptive refinement; The algebraic eigenvalue problem (ARPACK); Stiff systems and the NAG library; Nonlinear 2-point boundary value problems and bifurcation (AUTO); Optimisation; Wavelets and data compression. Content: Topics will be chosen from the following: The algebraic eigenvalue problem: Gerschgorin's theorems. The power method and its extensions. Backward Error Analysis (Bauer-Fike). The (Givens) QR factorization and the QR method for symmetric tridiagonal matrices. (Statement of convergence only). Research Assistance? The Lanczos Procedure for reduction of a real symmetric matrix to tridiagonal form.
Orthogonality properties of essay street journal Lanczos iterates. Iterative Methods for Linear Systems: Convergence of stationary iteration methods. Special cases of symmetric positive definite and diagonally dominant matrices. Variational principles for research assistance, linear systems with real symmetric matrices. The conjugate gradient method. Krylov subspaces. Convergence. Connection with the Lanczos method. Iterative Methods for Nonlinear Systems: Newton's Method. Convergence in 1D. Statement of algorithm for systems.
Content: Topics will be chosen from the following: Difference equations: Steady states and bibtex dissertation fixed points. Stability. Research Assistance? Period doubling bifurcations. Chaos. Application to population growth. Systems of difference equations: Host-parasitoid systems.Systems of ODEs: Stability of solutions. Governor's Essay? Critical points. Phase plane analysis. Poincari-Bendixson theorem. Bendixson and Dulac negative criteria. Conservative systems.
Structural stability and instability. Lyapunov functions. Travelling wave fronts: Waves of advance of an advantageous gene. Waves of excitation in nerves. Waves of advance of an epidemic. Content: Topics will be chosen from the following: Revision: Kinematics of deformation, stress analysis, global balance laws, boundary conditions. Assistance? Constitutive law: Properties of real materials; constitutive law for linear isotropic elasticity, Lami moduli; field equations of for fresh accountant linear elasticity; Young's modulus, Poisson's ratio. Some simple problems of elastostatics: Expansion of a spherical shell, bulk modulus; deformation of a block under gravity; elementary bending solution. Linear elastostatics: Strain energy function; uniqueness theorem; Betti's reciprocal theorem, mean value theorems; variational principles, application to research, composite materials; torsion of cylinders, Prandtl's stress function. Linear elastodynamics: Basic equations and general solutions; plane waves in unbounded media, simple reflection problems; surface waves.
MA50181: Theory methods 1a - differential equations: theory methods. Content: Sturm-Liouville theory: Reality of bibtex dissertation eigenvalues. Orthogonality of eigenfunctions. Expansion in eigenfunctions. Approximation in mean square. Statement of completeness. Fourier Transform: As a limit of Fourier series.
Properties and applications to solution of differential equations. Frequency response of linear systems. Characteristic functions. Linear and assistance quasi-linear first-order PDEs in school essay, two and research three independent variables: Characteristics. Integral surfaces. Uniqueness (without proof).
Linear and quasi-linear second-order PDEs in two independent variables: Cauchy-Kovalevskaya theorem (without proof). Characteristic data. Lack of continuous dependence on initial data for Cauchy problem. Solicited Letter For Fresh? Classification as elliptic, parabolic, and hyperbolic. Different standard forms. Constant and nonconstant coefficients. One-dimensional wave equation: d'Alembert's solution. Writting Assistance? Uniqueness theorem for corresponding Cauchy problem (with data on a spacelike curve). Content: Definition and examples of metric spaces.
Convergence of sequences. Continuous maps and isometries. Sequential definition of governor's essay continuity. Subspaces and product spaces. Complete metric spaces and the Contraction Mapping Principle. Sequential compactness, Bolzano-Weierstrass theorem and applications. Open and closed sets. Assistance? Closure and interior of sets. Topological approach to continuity and compactness (with statement of application for fresh Heine-Borel theorem). Equivalence of writting Compactness and sequential compactness in metric spaces.
Connectedness and path-connectedness. Metric spaces of functions: C[0,1] is a complete metric space. MA50183: Specialist reading course. * advanced knowledge in letter for fresh graduate accountant, the chosen field. * evidence of independent learning. * an ability to read critically and master an advanced topic in mathematics/ statistics/probability. Content: Defined in the individual course specification. MA50183: Specialist reading course.
advanced knowledge in the chosen field. evidence of independent learning. an ability to read critically and master an advanced topic in mathematics/statistics/probability. Content: Defined in the individual course specification. MA50185: Representation theory of finite groups.
Content: Topics will be chosen from the following: Group algebras, their modules and associated representations. Maschke's theorem and complete reducibility. Irreducible representations and Schur's lemma. Decomposition of the research assistance, regular representation. Character theory and orthogonality theorems. Burnside's p #097 q #098 theorem. Content: Topics will be chosen from the following: Functions of a complex variable. Continuity.
Complex series and power series. Conclusions? Circle of convergence. The complex plane. Regions, paths, simple and closed paths. Path-connectedness. Analyticity and the Cauchy-Riemann equations. Writting Assistance? Harmonic functions. Cauchy's theorem. Cauchy's Integral Formula and its application to power series. Isolated zeros. Differentiability of an views, analytic function.
Liouville's Theorem. Research Assistance? Zeros, poles and essential singularities. School Essay? Laurent expansions. Cauchy's Residue Theorem and assistance contour integration. Applications to real definite integrals. On completion of the course, the student should be able to demonstrate:- * Advanced knowledge in the chosen field.
* Evidence of independent learning. * An ability to initiate mathematical/statistical research. * An ability to read critically and master an advanced topic in mathematics/ statistics/probability to the extent of being able to expound it in a coherent, well-argued dissertation. * Competence in a document preparation language to the extent of being able to typeset a dissertation with substantial mathematical/statistical content. Content: Defined in solicited application letter, the individual project specification. MA50190: Advanced mathematical methods. Objectives: Students should learn a set of mathematical techniques in a variety of areas and be able to apply them to either solve a problem or to construct an accurate approximation to the solution. They should demonstrate an understanding of research both the theory and the range of applications (including the limitations) of all the techniques studied.
Content: Transforms and Distributions: Fourier Transforms, Convolutions (6 lectures, plus directed reading on complex analysis and calculus of residues). Asymptotic expansions: Laplace's method, method of steepest descent, matched asymptotic expansions, singular perturbations, multiple scales and averaging, WKB. (12 lectures, plus directed reading on applications in continuum mechanics). Dimensional analysis: scaling laws, reduction of PDEs and ODEs, similarity solutions. (6 lectures, plus directed reading on symmetry group methods). References: L. Dresner, Similarity Solutions of Nonlinear PDEs , Pitman, 1983; JP Keener, Principles of Applied Mathematics, Addison Wesley, 1988; P. Essay? Olver, Symmetry Methods for PDEs, Springer; E.J. Hinch, Perturbation Methods, CUP. Objectives: At the end of the course students should be able to use homogeneous coordinates in projective space and to distinguish singular points of plane curves.
They should be able to demonstrate an understanding of the research writting assistance, difference between rational and nonrational curves, know examples of both, and be able to describe some special features of plane cubic curves. Content: To be chosen from: Affine and projective space. Polynomial rings andhomogeneous polynomials. Amy Chua Essay Wall Journal? Ideals in writting assistance, the context of polynomial rings,the Nullstellensatz. Plane curves; degree; Bezout's theorem. Singular points of plane curves. Rational maps and morphisms; isomorphism and birationality. Political Views? Curves of low degree (up to 3). Genus. Elliptic curves; the assistance, group law, nonrationality, the j invariant. Weierstrass p function.
Quadric surfaces; curves of quadrics. Duals. MA50194: Advanced statistics for use in health contexts 2. * To equip students with the skills to use and interpret advanced multivariate statistics; * To provide an appreciation of the application graduate accountant, applications of advanced multivariate analysis in writting, health and medicine. Learning Outcomes: On completion of this unit, students will: * Learn and understand how and why selected advanced multivariate analyses are computed; * Practice conducting, interpreting and reporting analyses. * To learn independently; * To critically evaluate and assess research and evidence as well as a variety of other information; * To utilise problem solving skills.
* Advanced information technology and computing technology (e.g. SPSS); * Independent working skills; * Advanced numeracy skills. Content: Introduction to STATA, power and sample size, multidimensional scaling, logistic regression, meta-analysis, structural equation modelling. Student Records Examinations Office, University of Bath, Bath BA2 7AY. Tel: +44 (0) 1225 384352 Fax: +44 (0) 1225 386366.
To request a copy of this information (Prospectus): Prospectus request. To report a problem with the catalogue click here.
Expert Essay Writers -
Research Mentoring, Data Analytics - …
Social Psychology : Should social psychology aim for a more integrated approach? Social psychology is the scientific study of how we affect each other by anything from what we say or do, to the simple act of our presence. From this descriptions it is clear how social psychology is often seen to overlap with sociology and indeed explains why many of its roots are there. Perhaps because of its diverse roots, the range of different approaches within social psychology can seem bewildering and, quite apart from writting assistance anything else, it can be difficult to see any kind of coherent whole or overarching meta-theories. In order to evaluate whether social psychology might benefit from a more integrated approach it is useful to evaluate where that integration is occurring and teaching essay, whether it is producing meaningful knowledge. The standard approach to most areas of social psychology has been in the creation of assistance, theories that are not overarching but more modestly aim to explain an governor's essay, area of social psychology but go no further. This is partly the result of a proliferation of research in social psychology that has meant that researchers tend to focus on a specialised field and take less notice of what is happening outside its narrow confines - not a situation conducive to writting assistance, an integrative approach. The problem with this fragmented approach is clearly seen in what are called the different 'levels of explanation' at which social psychological research operates at. The three levels are intrapersonal, interpersonal, and intergroup and dissertation, the research has tended to concentrate on one of these levels without integrating them together. Writting Assistance. This can lead to dissertation, an incomplete answer to the original research question.
Hogg Vaughan (2002) use the example of research writting, social psychologists tackling group behaviour in terms of intrapsychic processes - like personality - which are not amenable to explaining such phenomena as stereotyping or prejudice. Branscombe Spears (2001) have suggested that there are ways to integrate social psychological knowledge and outline some of these attempts. Greek Tragic Essay. The continuing rise of cognitive psychology as an overarching method of explanation or meta-theory, has been invoked in research writting assistance social psychology. For example, explanations of social cognition are made in terms of bibtex, information processing using neural or connectionist networks as the basis. This can be seen in a variety of experiments on the effects of motivational and research assistance, emotional factors on behaviour such as that by Forgas (1995). Here participants were told they were going to be involved in two unrelated studies, the first involving watching a film which was either happy, sad or neutral.
The second involved making a judgement about tragic, a person under a variety of different conditions. The experimenters wanted to see how the mood state would affect the social judgement of the participants. They found different levels of 'affect infusion' depending on the particular circumstances of the study. Assistance. The main criticism of greek tragic, this type of formulation of research assistance, motivational and emotional factors as somehow 'add-on' or extra factors that then modify 'normal behaviour' is that it rather isolates these factors rather than integrating them with the perception and evaluation of others. Evolutionary psychology has also had a great effect on essay conclusions, many areas of psychology and lays claim to research assistance, being another overarching theory - although this is more of bibtex for phd dissertation, a 'top-down' rather than 'bottom-up' theory. Evolutionary theorists such as Buss (1995) claim that parts of our behaviour can be explained in terms of adaptations to the environment, both social and physical.
This had become a very popular explanation with analysis often focussing on interpersonal relationships, specifically in terms of sexual attraction and how it relates to differing levels of investment in offspring. Modern theorists are now, however, turning away from evolutionary theory as it tends to writting assistance, focus on how the distant past might affect people's behaviour today. While it is political essay, possible, perhaps probable, that evolutionary factors will be somewhat relevant, it can be difficult to see this as a complete overarching theory that can explain how people behave in assistance modern technological societies. Both the evolutionary theory and ideas from cognitive psychology, therefore, do not provide meta-theoretical explanations on which social psychology can build an integrated perspective. Where then can we turn? Currently one of the most hopeful areas for an integrative approach as identified by both Hogg Vaughan (2002) and greek hero essay, Branscombe Spears (2001) is in a particularly social psychological perspective. These authors suggest that one of the research writting most successful attempts at integrating analyses from a variety of letter for fresh graduate accountant, different levels - intrapersonal, interpersonal and intergroup - is in social identity theory (Tajfel Turner, 1986). Social identity theory grew out of the minimal group paradigm experiments in which it was found that people would strongly identify with even an extremely arbitrary and loosely formed grouping so as to prefer the in-group members over the out-group members. This would occur with only the smallest and most subtle provocation (described in Tajfel, 1978). Research Writting. This theory is based on the idea that society is structured by social groupings with different levels of power and interests and that people gain their social identity from these groups. Greek. Attached to this social identity are particular ways of behaving to be adhered to.
People are not limited to a single social identity though and can, and generally do, have multiple identities which can be switched between depending on writting, the situation. To counter the criticisms mentioned earlier about levels of explanation, social identity theory is careful to separate personal identity from social identity as it is precisely the confounding of these two levels that has drawn the censure of critics. Because of its concentration on the importance of groups, a number of established social psychological processes are also brought into the theory automatically. These include, for political, example, in-group favouritism and intergroup differentiation. Finally, social identity theory assumes that people have a need to gain a positive evaluation of research writting, themselves in relation to teaching conclusions, other people. The explanations provided by social identity theory so far cover interpersonal and intergroup effects, but what about assistance, intrapsychic processes? Branscombe Spears (2001) suggest that self-categorisation theory provides another important piece in providing an integrated meta-theory. Self-categorisation theory grew out of social identity theory and concentrates on how a person places themselves in amy chua essay street journal particular social categories (Turner, 1987). It sees a person as choosing from a number of fuzzy categories about how to behave in particular situations as compared to a kind of prototype. This analysis brings in the more cognitive ideas of having a representation of a group, and the prototype of that group, and then comparing individual behaviour to research, that.
These kinds of distinctions between levels of for phd, understanding and categorisation or identity can be clearly understood in research like that carried out by Spears, Doosje, Ellemers (1997). In this study psychology students were encouraged to compare themselves to fine arts students and then physics students respectively. Research Assistance. The results showed they tended to emphasise their intelligence when comparing themselves to fine arts students, and their creativity when comparing themselves to physics students. Graduate Accountant. This clearly shows how people have a need to assistance, compare themselves favourably to others but also effectively shows how people's image of themselves is affected by the exact nature of the social comparison that they are making. The combination of social identity theory and self-categorisation theory have been used to explain a number of teaching essay conclusions, social psychological phenomena. Research Assistance. These have included social stereotyping, group formation and cohesion and the maintenance of self-esteem. One oft-analysed example that demonstrates the salient points is that of crowd behaviour.
Crowd behaviour has traditionally been analysed as a function of changes in individuation and in self-awareness in tragic hero an individual person. Like many areas of writting assistance, social psychology this analysis has come under fire for ignoring or playing down the intergroup interactions. In an analysis of crowd behaviour based on social identity theory, these criticisms are lessened. Reicher, Spears Postmes (1995) posit that crowds come together as members of a specific social group in order to perform a particular act or protest, the result of amy chua, this is that there is research writting assistance, often a high level of the school sharing of social identity. But in a crowd situation there are frequently few cues as to how to behave and so people tend to look for research, those members of the group that they identify with and copy them. To look at it from another perspective, rather than becoming deindividuated by for phd dissertation being in research writting a crowd, people are actually raising their social identity in journal this situation above their personal identity. The simple result is that people tend to conform to the group norms to a greater extent. Studies of riots cited by Hogg Vaughan (2002) provide some evidence for this point of view. Reicher (1984) studied the riots that occurred in 1980 in the St Paul's area of Bristol. It was found that, for example, people only research assistance, targeted symbols of the state such as the police and essay, banks, they were certainly not indiscriminate.
There was a strong sense of positive social identity and the crowd remained within the confines of St Paul's rather than spreading to other areas. These kinds of findings tend to assistance, support ideas from social identity and self-categorisation theory. The fragmentation and attempts at integration discussed so far are those that have occurred within what is known as mainstream social psychology . However, one of the most important major differences or splits in the practice of social psychology came with the so-called 'crisis in social psychology' in political views essay the late 60s and early 70s. This was lead by critics of traditional approaches to social psychology like Gergen (1973). What these critics were saying was that social psychology, in research assistance its mainstream incarnation, had become too obsessed with scientific methods that were not best suited to gaining social psychological knowledge: namely reductionism and positivism. The effect of concentrating on reductionism in wall psychology, it was argued, meant that accounts of social psychological phenomena tended to concentrate on intrapersonal psychology at the expense of understanding the social nature of human relations. Critics of positivist approaches claimed that social psychologists tended to writting assistance, place too much emphasis on the explanatory power of traditional scientific methods. They contended that it was not possible to study a person or group of people in for phd an 'objective' way for research writting, the simple reason that effectively people are studying themselves and it is impossible to be objective about yourself - by definition! While traditional experimental approaches to social psychology continued then, new methods began to essay conclusions, grow from different traditions that challenged the assistance way social psychology had been 'done' in essay wall the past. Lyons (1998) describes some of these new approaches that are often collected under the banner of 'social constructionism'.
This new plurality of approaches has at its centre the writting assistance idea that reality is socially constructed. Views Essay. In essence this idea is that there is no objective reality so that reality which we construct (mainly) through our language should form the primary focus for investigation. Discourse analysis (Potter Wetherell, 1987) is one method of analysing our interactions with each other that involves the qualitative analysis of written or verbal text. Writting Assistance. While these new approaches to social psychology have certainly fed back usefully into hero essay the mainstream in terms of the research assistance methodologies used, their philosophical bases are fundamentally opposed to the way that mainstream psychology is carried out. Essay Wall Street. Still, their concentration on the social in social psychology can be seen to assistance, parallel the mainstream's increasing awareness in the same direction. Whether integration is desirable, or even possible, between these two approaches is certainly questionable. The main problem for political views essay, social psychologists is that knowledge naturally becomes highly specialised and assistance, eventually ghettoised, so that there is little communication between specialisms and little opportunity for the sharing and integration of knowledge. As human beings represent extremely complicated integrated systems it seems unlikely that they can be fully understood as a number of discrete parts or modules. Unless bridges can be built between the sub-disciplines of social psychology, it seems likely that much knowledge about how these systems operate will be lost between the widening cracks.
There is some evidence that some level of integration might be achieved through social identity and self-categorisation theory, although the gap between mainstream social psychology and social constructionist analyses look less likely to be bridged despite the tragic hero essay boost to qualitative methodologies in the mainstream. Branscombe, N. R. Spears, R. (2001) Social Psychology : Past, Present, and Some Predictions for the Future. In J. S. Halonen S. Research Writting Assistance. F. Governor's Essay. Davis (Eds.). The many faces of psychological research in the 21st century (text-only version; chap. 7). Retrieved September 5, 2005 from http://teachpsych.lemoyne.edu/teachpsych/faces/text/Ch07.htm Buss, D. M. (1995). Psychological sex differences: Origins through sexual selection. American Psychologist, 50, 164-168. Forgas, J. P. (1995). Writting. Mood and judgment: The affect infusion model (AIM). Psychological Bulletin, 117, 39-66.
Gergen, K. J. (1973). Social psychology as history. Journal of Personality and Social Psychology , 26, 309-320. Hogg, M. A. Vaughan, G. M. Wall Street Journal. (2002) Social Psychology, Third Edition, London: Prentice Hall Lyons, E. Research Writting Assistance. (1998) Social Psychology 1, In Psychology: An Integrated Approach, Ed. Eysenek, M. W., pp.324-355. Essex: Longman. Potter, J., Wetherell, M. (1987). Discourse and social psychology: Beyond attitudes and behaviour. London: Sage.
Reicher, S. (1984) St. Paul's a study of the hero limits of assistance, crowd behaviour. In Murphy J et al (eds.) Dialogues and debates in social psychology. Reicher, S. D., Spears, R., Postmes, T. (1995). A social identity model of deindividuation phenomena. In Stroebe, W., Hewstone, M. (Eds.), European review of social psychology, Vol. 6, pp.
161-198). Chichester, UK: Wiley. Spears, R., Doosje, B., Ellemers, N. (1997). Self-stereotyping in the face of threats to group status and application letter for fresh graduate, distinctiveness: The role of group identification. Personality and Social Psychology Bulletin, 23, 538-553. Tajfel, H. (1978). Writting. Interindividual behaviour and intergroup behaviour. Wall Street. In: Tajfel, H. (Ed.) Differentiation between social groups (pp. 27-60).
New York: Academic Press. Research. Tajfel, H., Turner, J.C. (1986). The social identity theory of intergroup behavior. In Worchel, S., Austin, W. G. (Eds.), The psychology of for phd, intergroup relations (pp. Research Writting. 7-24). Chicago, IL: Nelson-Hall. Turner, J.C. (1987). Bibtex For Phd Dissertation. A self-categorization theory. In Turner, J.C. Hogg, M.A. Oakes, P.J.
Reicher, S.D., Wetherell M.S. (Eds.), Rediscovering the research assistance social group: A self-categorization theory (pp. 42-67). Oxford: Basil Blackwell. If this essay isn't quite what you're looking for, why not order your own custom Pyschology essay, dissertation or piece of coursework that answers your exact question? There are UK writers just like me on hand, waiting to help you. Each of us is qualified to a high level in our area of expertise, and governor's school essay, we can write you a fully researched, fully referenced complete original answer to your essay question. Just complete our simple order form and you could have your customised Pyschology work in your email box, in as little as 3 hours.
This Pyschology essay was submitted to us by a student in order to help you with your studies. This page has approximately words. If you use part of this page in your own work, you need to provide a citation, as follows: Essay UK, Social Psychology Essay | Psychology . Available from: http://www.essay.uk.com/free-essays/psychology/social-psychology-approach.php [03-10-17]. If you are the original author of this content and no longer wish to have it published on our website then please click on research assistance, the link below to request removal: Essay UK offers professional custom essay writing, dissertation writing and coursework writing service. Our work is letter for fresh accountant, high quality, plagiarism-free and delivered on time.
Essay UK is a trading name of Student Academic Services Limited , a company registered in England and Wales under Company Number 08866484 . Registered Data Controller No: ZA245894.