At the entrance to Plato's academy in ancient Greece, stood a sign which warned, "Let no-one ignorant of mathematics enter here. Mathematics is at the root of many academic subjects, such as mechanics in Physics, organic Chemistry and even Music and this is why I find it so fascinating. The process of starting from a simple set of formulae and deriving nearly all mathematical truth from these is what makes Mathematics a leading academic subject L Neumann. This saying perhaps makes more sense to me than to anyone else and is most suited to describe my zeal for Mathematics The nobility of physics together with my aspiration to explore natural phenomena mathematically and to formulate theories that govern them has changed my perception of reality and this has made me ponder difficult questions Mathematics is not just a mere subject but a universal language.
Its plethora of Greek symbols interlaced with numbers makes it seem like a clandestine code, which has to be deciphered. This aside, I believe the real magic of Mathematics lies not with its method of execution, but its definite solutions founded on irrefutable proofs, not ignoring the seemingly endless array of applications Mathematics is the fundamental basis of science.
I want to understand just how the world hangs together, and maths seems to provide me with a solid foundation for my understanding of many other fields of knowledge Maths and Computer Science Personal Statement.
All about A level Mathematics - CIFE
I believe that Mathematics is a key part of life. Being ambitious and willing to face challenges, asking questions and exploring problems without quite knowing how the solution will emerge are the key to my interest in Mathematics Languages and Maths Personal Statement. I am a versatile individual with a passion and flair for both Languages and Maths.
I am applying to a variety of courses to pursue my combined interest. My love for languages began when I moved to Switzerland in Maths and Science Statement Personal Statement. Personal statement I enjoy learning, developing and exploring new ideas, concepts and ways of working. An interest that I hope may lead to a mentoring or teaching position, where I will be able to share ideas in a researching, developing and learning environment Studying mathematics is a pure pleasure for me and I take pride in my achievements in the subject.
What makes maths so interesting is its foundations in the real world; for instance, the Fibonacci numbers that arise all through nature, the notes played by a guitar string producing standing waves at different frequencies of sound and algebra which is used to create special effects in animated films and TV shows The challenge of problem solving has always been key to my passion for mathematics. For me, the satisfaction gained from systematically working through a complex problem to an often unobvious solution is unmatched by other areas of study Mathematics dictates our understanding of the universe; the sciences that the world depends on today are founded and dependant on maths.
Scientists and mathematicians spend their lives making remarkable discoveries contributing to the development of humanity, the findings we have been making in fields like quantum mechanics would be completely impossible without maths To ask this question would generate many replies perhaps declaring 'doing complex calculations' or 'working out sums', but it is simply so much more. To me, mathematics is a language, explaining how our world works, such as why things exist as they do in geometrical space The application of mathematics in the real world has always fascinated me.
Mathematics acts as a base from which economics progresses, with such skills as differentiation needed to find the elasticity coefficients in higher education Mathematics is a language of science which portrays just merely anything in this world better than any other way we distinguish. The more we discover nature,the more mathematical association revealed by doing so I have found Mathematics a fascinating subject since my early years.
I enjoy it as it is challenging and logical. I am particularly interested in Decision Mathematics as it is a field that is directly related to real-life applications of Mathematics and can be used to solve problems, such as finding the optimal solution for transporting materials from one place to another while minimizing the cost Studying mathematics and physics at degree level will not only allow me to develop myself intellectually but satisfy my curiosity to understand the universe and everything in it. As my knowledge of physics has developed my perception of reality has evolved and I find myself pondering challenging questions, which drives me to learn more There is no doubt that Mathematics is the most important element supporting science and business.
I have always had a passion and a thorough understanding of the subject of Mathematics. This helped me to progress academically because, unlike a lot of people, I have not had to worry about passing my GCSE Maths exams My enthusiasm for Mathematics and Physics comes from the fact that they are both used to further our understanding of the universe and have applications in all other areas of science.
My main area of interest in Physics is particle physics as this tells us how fundamental parts of our universe interact with each other In an ever changing world, numbers are the only certainty with which a foundation of understanding can be built. My interest in Maths stems from my desire to understand and solve problems. I gain an odd, to some, large amount of satisfaction from solving difficult problems and my enthusiasm has only grown larger as the complexity of the maths has increased I gain a large amount of satisfaction from solving difficult problems and my enthusiasm has only grown larger as the complexity of the maths has increased It has been said that mathematics is the one true universal language.
The logic used in Pythagoras, the value of Pi or even the process behind simple addition is the same anywhere in the world.
Mathematics Personal Statements
Manipulating numbers is a skill that most people will use to some extent in their lives, giving mathematics a ubiquitous influence in the world Mathematics MMath Personal Statement. In particular it explored the fascinating feat of method maths and shows many examples of how different methods help us get to solutions that a lot of the time would be unsolvable English Literature and Maths Personal Statement. To achieve a greater understanding of life, I feel the study of English and Maths is a necessity; to understand mathematics is to understand the mechanics of the physical world.
For example, using maths, we can predict the weather but because of the mechanics behind chaos theory, there's so much affecting it that we still can't be certain Complexity of the world, starting from the microscopic interactions between molecules to the enormous scale of the universe, is endlessly intriguing me.
How does the universe work? A few years ago I realised that physics with the help of mathematical equations and theories is a tool to provide the answer I have always loved mathematics, but it was five years ago that I truly became hooked. Having only previously been exposed to simple algebra and geometry, the way maths was used in topics like topology, infinity and chaos absolutely fascinated me, and transformed my perspective on what mathematics makes possible Mathematics International Personal Statement.
For much of my life, I considered maths to be dull; a basic set of rules that could be a convenience from time to time. As disinterested as I was, I was capable of succeeding in my classes, and suddenly, during a weekend of arduous, continuous maths homework, I found myself seeing every question as not a problem to be solved as if I were a computer, but a puzzle, in which a complex question would be slowly transformed into a simple, beautiful solution The study of mathematics and the challenges that it presents arouse equal measures of both frustration and enjoyment.
It is the moment of enlightenment arrived at through differing proportions of determination and experimentation that is the appeal of the subject Maths and Statistics Personal Statement.
Model Answers in Pure Mathematics for A-Level Students
Mathematics and statistical data are fundamental to understanding the world. Being able to see how things as simple as numbers can be arranged into mathematical models that can describe everything from the stock market to the flight of a ball both excites and fascinates me STEP is used for conditional offers not just by Cambridge, but at the time of writing also by Warwick University for almost all of its Mathematics offers, and to a lesser extent by some other English universities.
Many other university mathematics departments recommend that their applicants practise on the past papers even if they do not take the examination. In , scripts were marked, only about of which were written by students holding an offer from Cambridge. At that time, there were STEPs in many subjects but by only the mathematics papers remained.
The examination has been more or less stable over nearly 30 years: it has not been blown about by the various fads in the public examinations systems that came and went during that time. Candidates are assessed on six questions only. The pure mathematics question in Papers I and II are based the core A-level Mathematics syllabus, with some minor additions, which is listed at the end of this book. There is also no core at the time of writing for A-level mechanics and statistics, so the STEP syllabuses for these areas consist of material that a student with a particular interest might have covered.
It has to be said, though, that the statistics questions are very likely to require knowledge of probability rather than statistics for example, there are very few questions on statistical tests of given data. This is because the underlying theory of statistics is quite difficult, and therefore unsuitable for examining at this level, whereas the application of statistical tests is rather routine and again unsuitable for examination at this level. From the point of view of admissions to a university mathematics course, STEP has three purposes.
A-level 2 tests mathematical knowledge and technique by asking you to tackle fairly stereotyped problems. STEP asks you to apply the same knowledge and technique to problems that are, ideally, unfamiliar. Here is an A-level question, in which you follow the instructions in the question:. And here, for comparison, is a STEP question, which requires both competence in basic mathematical techniques and mathematical intuition. These difference matter, because in mathematics more than in any other subject it is very important to match the difficulty of the question with the ability of the candidates.
The answers would or should differ according to the level. On mathematics examination papers, the question has to be tailored to the level in order to discriminate between the candidates: if it is too easy, nearly all candidates will score very high marks; if it is too hard, nearly all candidates will make little progress on any of the questions. The setting procedure starts 30 months before the date of the examination, when the three examiners one for each paper, from schools or universities are asked to produce a draft paper.
The second drafts are agreed with the coordinator and then circulated to three moderators normally school teachers , and to the other examiners, who produce written comments and discuss the drafts in a two-day meeting. The examiners then produce third drafts, taking into account the consensus at the meetings. These drafts are sent to a vetter, who works through the papers, pointing out mistakes and infelicities.
At each stage, the drafts are produced camera-ready, using a special mathematical word-processing package called LaTeX which is also used to typeset this book.
STEP questions do not fall into any one category. Typically, there will be a range of types on each of the papers. Here are some thoughts, in no particular order. Its difficult appearance is largely due to it being very different in style from what you are used to. At the time of writing, a typical A-level examination lasts 90 minutes and contains 10 compulsory questions.
That is 9 minutes per question. If you are considering studying mathematics at a top university, it is likely that you will manage to do them all and get them nearly all right in the time available. A STEP examination lasts 3 hours, and you are only supposed to do six questions in three hours. You are very likely to get a grade 1 if you manage four questions not necessarily complete ; that means that each question is designed to take 45 minutes. If you compare a 9 minute question with a 45 minute question, of course the 45 minute question looks very hard!
You may be put off by the number of subjects covered on the paper. You should not be. STEP is supposed to provide sufficient questions for all candidates, no matter which mathematics syllabus at the appropriate level they have covered. It would be a very exceptional candidate who had the knowledge required to do all the questions. And there is plenty of choice 6 questions out of Once you get used to the idea that STEP is very different from A-level, it becomes much less daunting.
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The best preparation for STEP apart, of course, from working through this excellent book is to work slowly through old papers. In general, thinking about the problem is much more important than getting the answer. Should you try to learn up areas of mathematics that are not in your syllabus in preparation for STEP? The important thing to know is that it is much better to be very good at your syllabus than to have have a sketchy knowledge of lots of additional topics: depth rather than breadth is what matters. Just as the examiners have no hidden agenda concerning syllabus, so they have no hidden agenda concerning your method of answering the question.
If you can get to the end of a question correctly you will get full marks whatever method you use. For more information on schools, divisions and departments look at the Naming Conventions. Elementary Mathematics. Applied Mathematics. This Wikiversity School of Mathematics project aims to create a structured set of links to learning material and test questions for the mathematics curriculum.
To start, the recently released Australian national senior secondary school curriculum is being used as a guide. It is possible to create a similar structure based on the curriculum of alternative educational systems, but copy some of the same links and material identified below.
If you'd like to do this, please create another heading in this section. Alternatively, please feel free to contribute to the project based on the Australian structure. This structure is fairly generic. These headings will provide links to pages detailing the senior secondary school mathematics curriculum. It will be used to identify material on Wikiversity and other Wikimedia sites that might be useful to students and their supporters.
It will also help show the links between different areas of the curriculum and where studying mathematics might take them in the future; in other words, some possible answers to the eternal question, "why should I learn this? The recently released Australian national senior secondary school mathematics curriculum will be used as a guide for this Wikiversity School of Mathematics project. This material is based on the curriculum developed by the Australian Curriculum, Assessment and Reporting Authority ACARA , which states its curriculum material can be downloaded, copied, printed and communicated for personal or non-commercial purposes, including educational or organisational use under a Creative Commons licence: copyright information.
Not sure where to start? Consult the following guides to help you make a study plan and determine which prerequisites you might be missing. Have a question about mathematics? Ask it at our help desk!