Applied Mathematics

Modules shown are for the current academic year, and are subject to change depending on your year of entry.

This course may be taken full- or part-time and runs for 12 or 24 months respectively, starting in October of each year.

You must take eight modules (four in each year for part-time students), and undertake an independent research project. The main ideas and results from your project will also form the basis for an oral presentation, which will count towards your overall project mark.

The following list is a guide to the modules available.

Fluids

• Fluid Dynamics 1
• Fluid Dynamics 2
• Introduction to Geophysical Fluid Dynamics
• Hydrodynamic Stability
• Vortex Dynamics
• Asymptotic Analysis

Dynamics

• Geometric Mechanics
• Dynamical Systems
• Bifurcation Theory
• Dynamics, Symmetry and Integrability
• Ergodic Theory
• Advanced Dynamical Systems
• Dynamics of Games
• Introduction to Riemann Surfaces and Conformal Dynamics

Finance

• Mathematical Finance: An Introduction to Option Pricing

Biology

• Inference, Control and Driving in Natural Systems
• Mathematical Biology

Mathematical Physics

• Theory of Complex Systems
• Mathematical Physics 1: Quantum Mechanics
• Applied Stochastic Processes
• Special Relativity and Electromagnetism
• Tensor Calculus and General Relativity
• Introduction to Partial Differential Equations
• Methods of Mathematical Physics
• Advanced Topics in Partial Differential Equations
• Applied Functional Analysis

Numerical Analysis/Computation

• Computational Stochastic Processes
• Finite Elements: Numerical Analysis and Implementation
• Computational Partial Differential Equations 1
• Numerical Solution of Ordinary Differential Equations
• Computational Linear Algebra
• Scientific Computation