Course Modules

The subject of mathematical analysis puts calculus on a rigorous foundation. The key concept underlying the whole course is that of “limit”. The purpose of analysis is to develop a solid understanding of when familiar techniques of calculus apply and […]

In recent years, interest in the theory of complex networks has exploded. The advent of social media and progress in artificial intelligence have made network analysis into an indispensable tool. In this course, you will study the mathematical theory that

In this module, you will build on the material introduced in the first-year module to take a more in-depth look at the idea of estimation. You will learn how to compare the relative strengths and weaknesses of estimators and how

This module introduced you to the concept of a time series: a sequence of data that has been recorded in time order. The goal of this module is to try and understand how consecutive data points in a time series

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

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;

Building on the techniques introduced in your first year Applied Mathematics module, this looks to develop a deeper understanding of the field of applied mathematics.