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Please note that Prelims
Mathematics
and
Mathematics & Philosophy
courses are now on Canvas.
Prelims
Part A
Part A Mathematics & Philosophy
Part B
Part C
Mathematical and Theoretical Physics
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