Mathematics Profile

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. It is a continually intriguing and limitless academic discipline due to the fresh challenges that it provides. However, as my studies have developed, I have realised that it is much deeper than just solving problems. Having read "Mathematics: The New Golden Age" by Keith Devlin, I have enjoyed learning about fractals such as the remarkable Mandelbrot Set. I have investigated number theory and have attempted some primality tests myself. I have also studied Non-Euclidean geometry, topology, and various other topics outside the A-level specification. They have all intrigued me and have given me a glimpse into the diversity of mathematics. Studying maths has also enabled me to develop both a new level of comprehension and a more rational way of thinking. It is therefore, without a doubt, my chosen path for further study at university.

I have thoroughly enjoyed the variety of modules included in my studies, with a particular interest in the pure modules. I have always liked working with algebra and rearranging a jumbled set of coefficients into a wonderfully simple form - such as in summations, using standard results and in proof by induction. Calculus is another favourite of mine, and I have often relished using it in diverse contexts, such as calculating rates of change, using it on graphs and interchanging between a pdf and CDF in statistics. The mechanics module perfectly coincided with my physics course. By taking physics, I have had the opportunity to apply my mathematical skills to a variety of situations and have developed my practical skills through a wide range of experiments. By assisting others in their physics and mathematical studies, I have also further developed my communication skills and my own understanding of these...