Course Modules

This module explores the methods, theories, and applications of optimisation. You will study: Iterative Methods and errors Root finding Systems of linear equations Gaussian elimination Matrices and LU decomposition Vector and matrix norms Ill-conditioning Induced stability Systems of non-linear equations.

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.

On this module you will link Linear Algebra and calculus to investigate vector functions; extend our knowledge to include functions of a complex variable and further develop understanding of the solutions of differential equations.

This module builds on the material covered at A level and introduces some new fundamental areas of mathematics. Differential Calculus will be extended and you will start the study of the applications of differentials, as you learn to apply these

This module builds on the material covered at A level and introduces some new fundamental areas of mathematics. You will explore Integral Calculus in more detail and begin to study of the applications of integrals. These techniques will be applied

This module provides a grounding in the theory of probability, and is an essential precursor for the subsequent study of mathematical statistics and operations research. The emphasis will be on modelling real situations, including probability calculations motivated by statistical problems.

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 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 what effective maths 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

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.