Course Modules

This module aims to extend familiar notions from calculus to settings that involve functions of more than one variable. The resulting subject, known as vector calculus, is fundamentally important in branches of applied mathematics such as fluid dynamics and electromagnetism. […]

Game theory tries to model how decision makers interact during situations of conflict or cooperation. The implications of this theory are widespread and have had a significant impact on many subjects including economic, biology and computer sciences.

This module will equip you with a range of techniques used regularly by practising statisticians. In addition to discussing the mathematical theory behind these techniques, the module also introduces statistical software that can be used to conduct them. The material

Within this module, you will study algorithms that allows computers to learn and improve from experience. The importance of this topic to many modern technologies cannot be overestimated.

As a result of initial planning and negotiation, a learning contract will be drawn up between individual students and the module co-ordinator. The content will, therefore, be negotiated in the light of identified needs.

Number theory is the study of whole numbers. Number facts have intrigued most people at some stage in their education, and in addition to its inherent fascination, number theory has turned out to have practical applications in recent years such

Statistics involves the analysis and interpretation of data with a view to making more informed decisions. As such, its importance in the 21st century can hardly be overstated: statistical techniques are fundamental tools in data science, economics and biology, to

This module aims to develop techniques in the use of probability in real-world contexts. Exploration of the theoretical mathematical models used to describe patterns of events that occur in time, and in space.

This module builds on the material covered within the first year calculus courses. Calculus will be extended to functions of more than one variable and applications of partial differentiation and multiple integrals.

This module explores how complex analysis is concerned with extending the familiar notions of differentiation and integration to functions of a complex variable. Perhaps surprisingly, this apparent increase in sophistication results in a host of spectacularly strong results. Applications abound;