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This university-level mathematics module covers key topics including calculus, vectors, matrices, sequences and functions, and assumes you are confident with the underpinning algebraic ideas.

An introduction to essential topics – such as proof, differential equations, mechanics and discrete mathematics – and an opportunity to extend your knowledge of calculus and its applications.

Introduces and helps integrate key ideas from statistics, algebra, geometry and trigonometry into your everyday thinking to build your confidence in learning and using mathematics.

Designed to develop academic skills for further study, this introductory module offers insights into a wide range of subject areas, including science, engineering and design, environment; mathematics, and computing and IT.

Designed to develop academic skills for further study, this introductory module offers insights into a wide range of subject areas, including science, engineering and design, environment; mathematics, and computing and IT.

This module uses the Maple computing language to teach: perturbation expansions, accelerated convergence, Padé approximations, asymptotic expansions, eigenvalue problems, and Green’s functions.

M820 Calculus of Variations and Advanced Calculus covers functionals, Gâteaux differential, Euler–Lagrange equation, First-integral, Noether’s Theorem, Second variation/Jacobi equation and Sturm–Liouville systems.

The theory of nonlinear ordinary differential equations is introduced with emphasis on geometrical aspects, approximation schemes and the determination of stability and periodicity of solutions.