Course Modules

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.

The content of all the mathematics modules follows the overarching principle of developing students’ technical ability, development of knowledge into areas of mathematical structure, proof and formality, continuity, discrete procedures, limiting processes, mathematical modelling and interpretation of space. This module’s

This module introduces students to the study of the motion of bodies (including the special case in which bodies remain at rest) in accordance with the general principles first articulated by Sir Isaac Newton and Galileo Galilei. Applied mathematics has

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.