Mathematics – (M.Sc.)

This programme introduces you to a higher level of mathematics than can be achieved in an undergraduate course. You will be able to study a variety of topics in advanced-level taught modules, designed specifically for students who have a keen interest and ability in the subject. As part of the course you will also write a dissertation under the supervision of an established researcher. The programme provides maximum flexibility to take account of your mathematics background and your interests.

The degree offers a sought-after qualification leading to employment in industry, business, education, public administration and to research careers in mathematics. The course also strengthens your general and academic competence and helps to develop important transferable skills, including the ability to analyse complex situations and to model them carefully. Mathematics will also help you solve abstract or concrete problems by the correct application of logical and scientific procedures.

Approximately half of the programme consists of four advanced taught modules from several areas of mathematics. The topics of these modules range from number theory, algebra and combinatorics to logic and set theory in pure mathematics, and in applied mathematics from fluid dynamics, geophysical flows to mathematical biology, solid mechanics and financial mathematics (the availability of modules varies from year to year). These lecture courses take place in the autumn and spring semesters.

The second half of the programme consists of a dissertation. This is a critical survey in an area of mathematics or in the applications of mathematics. It also includes an introductory module on relevant research methods. Early in the academic year, you will agree the topic of the dissertation with your supervisor, who will often have particular expertise and research experience in your chosen area. During the preparation period your supervisor will guide you in frequent one-on-one sessions. The work on the dissertation usually begins in the autumn semester and should be completed by September of the next year.

Recent Dissertation Titles:

* Numerical solution of Burgers’ Equation
* The Moebius function and its applications
* Finite reflection groups and Lie theory
* History of primality testing and the AKS algorithm
* Measure theory