Course Modules

This modules explores how groups were introduced in an attempt to study one of the most fundamental aspects of nature: symmetry. As an example, the 6 symmetries of an equilateral triangle form a group: every symmetry has a counterpart inverse […]

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

This module introduces formulating numerical problems and building models to address and derive numerical solutions. It also provides you with the knowledge and understanding of mathematical and statistical principles appropriate to interpret numerical findings and draw justified conclusions.

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

This module explores what effective mathematics teachers need to know in terms of their own subject knowledge and depth of cognitive understanding. Using current theoretical frameworks, you will develop your own cognitive understanding of key, foundational topics in the secondary

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 focuses on developing pedagogies and skills that enhance specifically the effective teaching of mathematics with cognitive understanding. These are developed alongside an awareness of the historical and contemporary approaches to teaching mathematics responsibly.

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.