Undergraduate Courses

Prelims

Guide to Prelims courses

Schedule of units for course: Prelims Mathematics 2020-21

• Michaelmas
  • Computational Mathematics
• Hilary
  • Computational Mathematics

Part A

Guide to Part A courses

Schedule of units for course: Part A Mathematics 2020-21

• Michaelmas
  • A0: Linear Algebra
  • A1: Differential Equations 1
  • A2: Metric Spaces and Complex Analysis
  • A8: Probability
  • A11: Quantum Theory
  • An Introduction to LaTeX
• Hilary
  • A3: Rings and Modules
  • A4: Integration
  • A5: Topology
  • A6: Differential Equations 2
  • A7: Numerical Analysis
  • A9: Statistics
  • A10: Fluids and Waves
  • ASO: Integral Transforms
• Trinity
  • ASO: Number Theory
  • ASO: Group Theory
  • ASO: Projective Geometry
  • ASO: Introduction to Manifolds
  • ASO: Calculus of Variations
  • ASO: Graph Theory
  • ASO: Special Relativity
  • ASO: Mathematical Modelling in Biology

Part A Mathematics & Philosophy

Schedule of units for course: Part A Mathematics & Philosophy 2020-21

• Michaelmas
  • A0: Linear Algebra
  • A2: Metric Spaces and Complex Analysis
  • A8: Probability
  • An Introduction to LaTeX
• Hilary
  • A3: Rings and Modules
  • A4: Integration
  • A5: Topology
  • ASO: Integral Transforms
• Trinity
  • ASO: Number Theory
  • ASO: Group Theory
  • ASO: Projective Geometry
  • ASO: Introduction to Manifolds
  • ASO: Calculus of Variations
  • ASO: Graph Theory
  • ASO: Special Relativity
  • ASO: Mathematical Modelling in Biology

Part B

Guide to Part B courses

Schedule of units for course: Part B Mathematics 2020-21

Schedule of units for course: Part B Mathematics and Philosophy 2020-21

• Michaelmas
  • B1.1 Logic
  • B2.1 Introduction to Representation Theory
  • B3.1 Galois Theory
  • B3.2 Geometry of Surfaces
  • B3.5 Topology and Groups
  • B4.1 Functional Analysis I
  • B4.3 Distribution Theory
  • B5.2 Applied Partial Differential Equations
  • B5.3 Viscous Flow
  • B5.5 Further Mathematical Biology
  • B6.1 Numerical Solution of Differential Equations I
  • B6.3 Integer Programming
  • B7.1 Classical Mechanics
  • B8.1 Probability, Measure and Martingales
  • B8.5 Graph Theory
  • BEE Mathematical Extended Essay
  • BSP Structured Projects
  • BO1.1 History of Mathematics
  • BOE: Other Mathematical Extended Essay
  • An Introduction to LaTeX
• Hilary
  • B1.2 Set Theory
  • B2.2 Commutative Algebra
  • B3.3 Algebraic Curves
  • B3.4 Algebraic Number Theory
  • B4.2 Functional Analysis II
  • B4.4 Fourier Analysis
  • B5.1 Stochastic Modelling of Biological Processes
  • B5.4 Waves and Compressible Flow
  • B5.6 Nonlinear Systems
  • B6.2 Numerical Solution of Differential Equations II
  • B7.2 Electromagnetism
  • B7.3 Further Quantum Theory
  • B8.2 Continuous Martingales and Stochastic Calculus
  • B8.3 Mathematical Models of Financial Derivatives
  • B8.4 Information Theory
  • SB3.1 Applied Probability
  • BEE Mathematical Extended Essay
  • BSP Structured Projects
  • BO1.1 History of Mathematics
  • BOE: Other Mathematical Extended Essay

Part C

Guide to Part C courses

Schedule of units for course: Part C Mathematics 2020-21

Schedule of units for course: Part C Mathematics & Philosophy 2020-21

• Michaelmas
  • C1.1 Model Theory
  • C1.3 Analytic Topology
  • C2.1 Lie Algebras
  • C2.2 Homological Algebra
  • C2.4 Infinite Groups
  • C2.7 Category Theory
  • C3.1 Algebraic Topology
  • C3.3 Differentiable Manifolds
  • C3.4 Algebraic Geometry
  • C3.8 Analytic Number Theory
  • C3.10 Additive and Combinatorial Number Theory
  • C4.1 Further Functional Analysis
  • C4.3 Functional Analytic Methods for PDEs
  • C4.8 Complex Analysis: Conformal Maps and Geometry
  • C5.1 Solid Mechanics
  • C5.5 Perturbation Methods
  • C5.7 Topics in Fluid Mechanics
  • C5.11 Mathematical Geoscience
  • C5.12 Mathematical Physiology
  • C6.1 Numerical Linear Algebra
  • C6.3 Approximation of Functions
  • C6.5 Theories of Deep Learning
  • C7.1 Theoretical Physics (C6)
  • C7.5 General Relativity I
  • C8.1 Stochastic Differential Equations
  • C8.3 Combinatorics
  • CCD Dissertations on a Mathematical Topic
  • COD Dissertations on the History of Mathematics
  • An Introduction to LaTeX
• Hilary
  • C1.2 Gödel's Incompleteness Theorems
  • C1.4 Axiomatic Set Theory
  • C2.3 Representation Theory of Semisimple Lie Algebras
  • C2.5 Non-Commutative Rings
  • C2.6 Introduction to Schemes
  • C3.2 Geometric Group Theory
  • C3.5 Lie Groups
  • C3.7 Elliptic Curves
  • C3.9 Computational Algebraic Topology
  • C3.11 Riemannian Geometry
  • C4.6 Fixed Point Methods for Nonlinear PDEs
  • C4.9 Optimal Transport & Partial Differential Equations
  • C5.2 Elasticity and Plasticity
  • C5.3 Statistical Mechanics
  • C5.4 Networks
  • C5.6 Applied Complex Variables
  • C5.9 Mathematical Mechanical Biology
  • C6.2 Continuous Optimisation
  • C6.4 Finite Element Method for PDEs
  • C7.1 Theoretical Physics (C6)
  • C7.4 Introduction to Quantum Information
  • C7.6 General Relativity II
  • C7.7 Random Matrix Theory
  • C8.2 Stochastic Analysis and PDEs
  • C8.4 Probabilistic Combinatorics
  • C8.5 Introduction to Schramm-Loewner Evolution
  • C8.6 Limit Theorems and Large Deviations in Probability
  • CCD Dissertations on a Mathematical Topic
  • COD Dissertations on the History of Mathematics

Mathematical and Theoretical Physics

• Michaelmas
  • Quantum Field Theory
  • Groups and Representations
  • Topological Quantum Theory
  • Radiative Processes and High Energy Astrophysics
  • An Introduction to LaTeX
  • Kinetic Theory
  • Quantum Processes in Hot Plasma
  • Advanced Quantum Theory
  • C7.5 General Relativity I
  • C5.5 Perturbation Methods
  • C6.1 Numerical Linear Algebra
  • C3.1 Algebraic Topology
  • C3.4 Algebraic Geometry
  • C3.3 Differentiable Manifolds
  • Advanced Philosophy of Physics
• Hilary
  • String Theory I
  • Cosmology
  • Soft Matter Physics
  • Galactic and Planetary Dynamics
  • Nonequilibrium Statistical Physics
  • Collisionless Plasma Physics
  • Advanced Fluid Dynamics
  • Symbolic, Numerical and Graphical Scientific Programming
  • Advanced Quantum Field Theory
  • C5.6 Applied Complex Variables
  • C3.2 Geometric Group Theory
  • C7.6 General Relativity II
  • C5.4 Networks
  • C7.4 Introduction to Quantum Information
  • Supersymmetry and Supergravity
  • Advanced Philosophy of Physics
  • High Energy Density Physics
  • Renormalisation Group
  • Astroparticle Physics
  • Geophysical Fluid Dynamics
  • C7.7 Random Matrix Theory
• Trinity
  • String Theory II
  • Conformal Field Theory
  • Quantum Matter: Superconductors, Superfluids, and Fermi Liquids
  • Topics in Soft and Active Matter Physics
  • Quantum Field Theory in Curved Space-Time
  • The Standard Model and Beyond I
  • The Standard Model and Beyond II
  • Advanced Topics in Plasma Physics
  • MTP Dissertation
  • Collisional Plasma Physics