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
- Vector & Complex Calculus
- Linear Algebra
Year 3
- Extended Independent Project
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
