Course Content
Year 1
- Calculus
- Algebra
- Mathematical Skills I: Reasoning and communication
- Introduction to Probability and Statistics
- Real Analysis
- Introduction to Applied Mathematics
Year 2
- Advanced Calculus
- Advanced Linear Algebra
Year 3
- Year Abroad (You'll spend Year 3 at a university abroad, usually in Germany, France or Spain)
Year 4
- final-year project
Option Modules
Year 2
- Pure Mathematics stream (groups, rings and fields, number theory, geometry)
- Applied Mathematics stream (classical and quantum dynamics, Newtonian gravity and special relativity, waves and fluids)
- Probability and Statistics stream (applied probability, statistical inference, linear models)
Year 3
- Pure Mathematics: Algebraic Number Theory, Cryptography, Differential Geometry, Formal Languages and Automata, Galois Theory, Groups and Actions, Lebesgue Measure and Integration, Metric Spaces, Number Theory, Topology
- Applied Mathematics and Mathematical Physics: Complex and Asymptotic Methods, Classical and Biological Fluid Dynamics, Dynamical Systems, Electromagnetism and Relativity, Fundamentals of Fluid Dynamics, Mathematical Ecology and Epidemiology, Modelling with MATLAB, Numerical Analysis, Partial Differential Equations, Quantum Information, Quantum Mechanics
- Statistics and Mathematical Finance: Bayesian Statistics, Generalised Linear Models, Linear Optimisation and Game Theory, Mathematical Finance, Multivariate Analysis, Practical Data Science with R, Statistical Pattern Recognition, Stochastic Processes, Survival Analysis, Time Series
Year 4
Directed learning
- Directed Learning
Pure Mathematics
- Algebraic Geometry
- Analytic Number Theory
- Hilbert Spaces
- Lie Algebras and Lie Groups
- Metric Number Theory
- Semigroup Theory
- Algebraic Groups
- Functional Analysis
- Representation Theory of the Classical Groups
- Riemannian Geometry
- Algebraic Topology
Applied Mathematics and Mathematical Physics
- Complex and Asymptotic Methods
- General Relativity
- Modelling with MATLAB
- Partial Differential Equations I
- Quantum Field Theory
- Soft Matter in Physics and Biology
- Advanced General Relativity
- Advanced Quantum Field Theory
- Applications of Group Theory in Virology
- Classical and Biological Fluid Dynamics
- Mathematical Ecology and Epidemiology
- Partial Differential Equations II
- Quantum Information
