UCL Department of Mathematics

Year 2
2101 Analysis 3: Complex Analysis
7102 Analysis 4: Real Analysis

Year 3
3101 Measure Theory (D)
3103 Functional Analysis (D)
3105 Probability
3109 Multivariable Analysis (D)
3113 Differential Geometry and Topology

Year 4
M111 Spectral Theory
M112 Geometric Measure Theory
M113 Differential Geometry and Topology (this will not be available as a 4th year module in 2013-14 or after)
M114 Riemannian Geometry

Year 2
2201 Algebra 3: Further Linear Algebra
7202 Algebra 4: Groups and Rings

Year 3
3201 Commutative Algebra
3202 Galois Theory (D)
3203 Algebraic Topology (D) 
[3704 Algebraic Number Theory]

Year 4
M204 Representation Theory
M211 Algebraic Geometry

Year 2
2301 Fluid Mechanics
7302 Analytic Dynamics

Year 3
3301 Real Fluids (D)
3304 Geophysical Fluid dynamics (D)
3305 General relativity (D)
3307 Biomathematics (D)
3308 Maxwell’s Theory of Electrodynamics (not available 2012-13)

Year 4
M302 Asymptotic methods with applications 
M306 Cosmology

Year 2
2401 Methods 3
7402 Methods 4
7601 Computational Methods

Year 3
3401 Methods 5 (D)
3402 Waves and wave scattering
3601 Intro to mathematica
3603 Numerical Analysis

Year 4
MM01 Advanced Modelling Techniques
MM04 Computational and Simulation Methods

Year 2
7501 Probability and Statistics

Year 3
3502 Combinatorial Optimisation
3503 Graph Theory
3504 Maths in Economics
3506 Mathematical Ecology (D)
3508 Financial Maths
3509 Dynamical Systems
STAT3101 Probability and Statistics II*
STAT3102 Stochastic Processes*
*These two Statistics modules are designated for Maths with Econ and Maths with Mans

Year 4
M501 Traffic Flow
M505 Evolutionary Games and Population Genetics
MM21 Quantitative and Computational Finance
STATM* Suitable Year 4 Stats modules*
*for Maths with Econ and Maths with Mans

Year 2
7701 Number theory

Year 3
3701 Number theory (this will not be available as a third year module in 2013-14 or afterwards)
3704 Algebraic number theory (D)
3705 Elliptic curves
3801 Logic
3802 History of Mathematics