范文三：
申请专业：数学MATH MATHEMATICS
The study of mathematical sciences has intrigued me for many years. The decision to study A levels in both Maths and Physics stemmed from a high interest level and strong aptitude in both subject areas. This was reflected in the AS grades I received in June 2002; achieving an A grade in mathematics which has inspired me further in my pursuit of the subject.
My interest has spread to computers and trying to link the two together has played a big part of my life in the last few years. I have taught myself, using books and other available sources, how to program in HTML and this has made it possible for me to take an active role in web design.
My other academic interests include Business Studies, especially management and finance areas which link with sections of the maths course. My choice to include a humanities subject at A level was partly encouraged by my need to analyse and evaluate situations, Business Studies gives me the chance to do this in great detail and I find it therapeutic to get involved in relevant
case studies. I am also taking an A level in General Studies which is increasing my knowledge of political and cultural issues. The subject also encourages group discussions concerning current affairs and provides me with the opportunity to input my opinions.
For the last few years I have been a member of a Duke of Edinburgh scheme running locally within the college. In June 2001 I completed the Bronze Award and am now working towards my Gold. This has given me a lot of experience in teamwork, problem solving and maintaining a high level of responsibility. These qualities have been taken on into a successful work experience placement in year 10 and my part time job as a sales/management assistant at respectable retail outlet Marks and Spencer.
I have enjoyed my time in the Sixth Form and have taken pleasure from both the academic and extra-curricular activities. I feel that I possess the qualities required to continue maths on to a higher level and combine it with modules that both interest me now and in areas which I hope to build on whilst at university. I am confident that this enthusiasm will combine with my strong determination and motivation, enabling me to succeed in the challenges that university presents.
范文四：
申请专业：数学MATH MATHEMATICS
My interest in Mathematics initially developed when I began to consider how a set of well-defined points on a plane could be described by a single equation. It was clear that a curve could be drawn through the set of points but, as my knowledge was limited in Year 10, I had to pursue my own research to learn how to deduce the equation of such a curve. Since then, I have come to appreciate how the many diverse topics in Maths are connected, such as the relationship between number theory and cryptography, as explained in Marcus du Sautoy’s ‘Music of the Primes’. I find the prospect of understanding such succinct theories, which can be applied in many industries, as well as forming new ones through extensive research, very exciting in today’s ever advancing society.
The topic to have engaged me the most at A-level has been differentiation. It is centred on the idea of limits, which relates directly to infinity and infinitesimals. I first read about Cantor’s continuum hypothesis in Clegg’s ‘A Brief History of Infinity’, and my understanding of infinity has evolved since then. The paradoxes associated with infinity and all the counter-intuitive arguments put forward about infinity motivate me to study infinity in detail, and I therefore look forward to the intriguing courses on analysis.
‘It may be very hard to define mathematical beauty, but that is just as true of beauty of any kind’ – Hardy in ‘A Mathematician’s Apology’. I agree with Hardy, for I feel that mathematical beauty is inexpressible and yet so common. However, I believe that Maths at school level has lost its beauty, as there is not enough emphasis on the proofs of theorems and the focus lies in the end result of a theorem instead. My opinion is that they are equally important, as one cannot exist without the other: you cannot classify something as a theorem unless it has a proof and you cannot have a proof unless it leads to a theorem. However, I have only come across beautiful Maths in proofs and I therefore look forward to the rigorous approach of being taught Maths at university level, which gives more importance to understanding. Currently, I find some stimulation in attending weekly extension Maths lessons, covering topics that go beyond the regular A-Level syllabus, such as Euclid’s algorithm, the Fibonacci sequence, the continuum hypothesis and proof by induction.
Maths has been a vital tool in innumerable disciplines, such as programming, medical imaging and code breaking, for thousands of years. I attended a lecture on ‘How Mathematics Drives Computing’ at Imperial College, where a lecturer explained how he was able to contribute significantly to airline scheduling via his PhD research work. Such constant evolution and innovation in Maths, with its potential as an instrument of solving problems and progressing society, attracts me greatly. In my spare time, I write Internet articles frequently on programming techniques, such as image scaling and collision detection, to which over 50 people are subscribed. Moreover, I have received a prize for a project I developed myself.
I am a School Prefect, which has enhanced my leadership skills. I participate in inter-school hockey matches as part of our School’s team, and I have practised the art of Taekwondo since I was ten years old. I find Bridge interesting and have represented my School in various competitions. I have also been playing the drums for four years. Furthermore, I attend the J S Mill Society, where issues of politics and economics are discussed.
Sophistication, precision and the axiomatic approach of mathematics have always appealed to me and I hope to appreciate their efficacy to an even greater extent at university.
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