Mathematics with Applied Mathematics/Mathematical Physics

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

You will take core modules in years one and two, before selecting optional modules in the third year.

Most of the components are lecture modules that are examined primarily by written papers in the summer term. Others are examined wholly by submission of projects.

As well as core and optional modules, there are modules required to complete your studies with Applied Mathematics/Mathematical Physics, and you will choose six of these in total, spread over the three years.

You will complete a practical module on computation running through the first year of the course, currently using specialist software such as Maple and Matlab, and you will be primarily examined by project.

Towards the end of the first year, you will complete an individual poster project, the subject of which can be chosen from a range of topics suggested by a series of inspirational lectures. All posters are exhibited together and you will explain your work to circulating staff and students, obtaining credit for both content and exposition.

All modules, computation and the project must normally be passed for progression to the second year.

• Algebra I
• Analysis I
• Foundations of Analysis
• Geometry and Linear Algebra
• Individual Poster Project
• Mathematical Computation
• Mathematical Methods I
• Mathematical Methods II
• Mechanics
• Probability and Statistics I

You will choose one optional module in addition to seven core modules.

After examinations in the third term there is a group project involving both written and oral elements.

All modules and the project must normally be passed for progression to the third year.

• Algebra II
• Complex Analysis
• Differential Equations
• Group Project
• Introduction to Numerical Analysis
• Multivariable Calculus
• Probability and Statistics II
• Real Analysis

• Non-linear Waves

(You do not have to choose the above module, but must select six of the Applied Mathematics/Mathematical Physics required modules during your degree.)

• Metric Spaces and Topology
• Statistical Modelling

A large selection of modules is available to all Department of Mathematics students, and you will choose eight, including modules specifically required for your stream of study.

• Applied Functional Analysis
• Bifurcation Theory
• Chaos and Fractals
• Dynamical Systems
• Dynamics of Games
• Fluid Dynamics I
• Fluid Dynamics II
• Geometric Mechanics I: Dynamics and Symmetry
• Geometric Mechanics II: Rotating, Translating and Rolling
• Introduction to Geophysical Fluid Dynamics
• Introduction to Partial Differential Equations
• Mathematical Biology
• Mathematical Finance: An Introduction to Option Pricing
• Mathematical Physics I: Quantum Mechanics
• Methods of Mathematical Physics
• Research Project in Mathematics
• Scientific Computation
• Special Relativity and Electromagnetism
• Tensor Calculus and General Relativity
• Theory of Complex Systems

You will be able to select a small number of modules from outside of the above list too, from areas such as:

• Algebra
• Asymptotic Analysis
• Computational
• Fluid Dynamics
• Functional Analysis
• Galois Theory
• Geometry of Curves and Surfaces
• Group Theory
• Mechanics
• Methods of Mathematical Physics
• Number Theory
• Partial Differential Equations
• Probability Theory
• Quantum Mechanics
• Theory of Complex Systems