Mathematicians have always been fascinated by numbers. One of the most famous problems is Fermat’s Last Theorem that, if n≥3, the equation xn+yn=zn has no solutions with x, y, z all nonzero integers. An older problem is to show that one cannot construct a line of length 3√2 with ruler and compass, starting with just a unit length.
Often the solution to a problem will lie outside the confines within which the problem has been posed, and theories must be constructed in order to prove a claim. This is true here, and you will see the second problem solved in your course; the first is far too deep!
These are questions in pure mathematics. In applied mathematics we use mathematical concepts to explain phenomena that occur in the real world. For example, you can learn how a leopard gets its spots, examine the intricacies of quantum theory and relativity, or study the mathematics of financial derivatives.
Mathematics at Oxford
We will encourage you to ask questions and find the solutions for yourself. But in order to do so, you must have a solid grounding in the concepts and the methods. In one sense, you will ‘start from the beginning’. We will teach you to think mathematically and so will start with careful definitions from which we build the edifice. Above all, mathematics is a logical subject, so you will need to argue clearly and concisely as you solve problems. For some of you, this way of thinking or solving problems will be your goal. Others will want to see what further can be discovered. Either way, it is a subject we want you to enjoy.
Careers
Our graduates are prepared for a diverse range of careers. Recent information shows figures for first destinations of graduates as: further study 28%, teacher/academic 18%, analyst 11%, financial 11%, consultant 3%, other 29%.
Department of Mathematics
National University of Ireland, Galway, University Road, Galway, Ireland.
Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)
Fax: +353 (0)91 494542
Email: Mary.Kelly@nuigalway.ie This page was last updated Tuesday, September 15