Archived material for the year 2017-2018

Part B

Schedule of units for course: Part B Mathematics 2017-18

Schedule of units for course: Part B Mathematics and Philosophy 2017-18

• 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 and Fourier Analysis: An Introduction
  • 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
  • B7.2 Electromagnetism
  • B8.1 Martingales through Measure Theory
  • B8.4 Communication Theory
  • B8.5 Graph Theory
  • SB3a Applied Probability
  • BEE Mathematical Extended Essay
  • BSP Structured Projects
  • BO1.1 History of Mathematics
  • BOE: Other Mathematical Extended Essay
  • BN1.1 Mathematics Education
  • 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
  • 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
  • B7.3 Further Quantum Theory
  • B8.2 Continuous Martingales and Stochastic Calculus
  • B8.3 Mathematical Models of Financial Derivatives
  • BEE Mathematical Extended Essay
  • BSP Structured Projects
  • BO1.1 History of Mathematics
  • BOE: Other Mathematical Extended Essay
  • BN1.2 Undergraduate Ambassadors' Scheme
  • An Introduction to LaTeX

Part C

Schedule of units for course: Part C Mathematics 2017-18

Schedule of units for course: Part C Mathematics & Philosophy 2017-18

• Michaelmas
  • C1.1 Model Theory
  • C1.3 Analytic Topology
  • C2.1 Lie Algebras
  • C2.2 Homological Algebra
  • C2.7 Category Theory
  • C3.1 Algebraic Topology
  • C3.3 Differentiable Manifolds
  • C3.4 Algebraic Geometry
  • C3.7 Elliptic Curves
  • C4.1 Functional Analysis
  • C4.3 Functional Analytic Methods for PDEs
  • C4.8 Complex Analysis: Conformal Maps and Geometry
  • C5.1 Solid Mechanics
  • C5.3 Statistical 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
  • C7.1 Theoretical Physics
  • C7.5 General Relativity I
  • C8.1 Stochastic Differential Equations
  • C8.3 Combinatorics
  • CCD Dissertations on a Mathematical Topic
  • COD Dissertations on a Topic Related to Mathematics
  • An Introduction to LaTeX
• Hilary
  • C1.2 Godel's Incompleteness Theorem
  • C1.4 Axiomatic Set Theory
  • C2.3 Representation Theory of Semisimple Lie Algebras
  • C2.4 Infinite Groups
  • C2.5 Non-Commutative Rings
  • C2.6 Introduction to Schemes
  • C3.2 Geometric Group Theory
  • C3.5 Lie Groups
  • C3.6 Modular Forms
  • C3.8 Analytic Number Theory
  • C3.9 Computational Algebraic Topology
  • C4.2 Linear Operators
  • C4.6 Fixed Point Methods for Nonlinear PDEs
  • C5.2 Elasticity and Plasticity
  • 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
  • C7.4 Introduction to Quantum Information
  • C7.6 General Relativity II
  • C8.2 Stochastic Analysis and PDEs
  • C8.4 Probabilistic Combinatorics
  • CCD Dissertations on a Mathematical Topic
  • COD Dissertations on a Topic Related to Mathematics
  • An Introduction to LaTeX

Part A

Schedule of units for course: Part A Mathematics 2017-18

• Michaelmas
  • A0: Linear Algebra
  • A1: Differential Equations 1
  • A2: Metric Spaces and Complex Analysis
  • A8: Probability
  • A11: Quantum Theory
• 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

Prelims

Schedule of units for course: Prelims Mathematics 2017-18

• Michaelmas
  • Introduction to University Mathematics
  • Introduction to Complex Numbers
  • M1: Linear Algebra I
  • M2: Analysis I - Sequences and Series
  • M3: Introductory Calculus
  • M3: Probability
  • M4: Geometry
  • Computational Mathematics
• Hilary
  • M1: Linear Algebra II
  • M1: Groups and Group Actions
  • M2: Analysis II - Continuity and Differentiability
  • M4: Dynamics
  • M5: Multivariable Calculus
  • M5: Fourier Series and PDE's
  • Computational Mathematics
• Trinity
  • M1: Groups and Group Actions
  • M2: Analysis III - Integration
  • M3: Statistics and Data Analysis
  • M4: Constructive Mathematics

MSc in Mathematical and Computational Finance

• Michaelmas
  • Introduction to Partial Differential Equations
  • Introduction to Probability
  • Introduction to Matlab
  • Introduction to Statistics and R
  • Numerical Methods (Monte Carlo)
  • Numerical Methods: Finite Differences
  • Stochastic Calculus
  • Financial Derivatives
  • Statistics and Financial Data Analysis
  • Financial Computing with C++ Part I
  • An Introduction to LaTeX
• Hilary
  • Numerical Methods (Monte Carlo)
  • Numerical Methods: Finite Differences
  • Exotic Derivatives
  • Stochastic Volatility
  • Commodities
  • Fixed Income Markets
  • Asset Pricing and Inefficiency of Markets
  • Market Microstructure and Trading
  • Algorithmic Trading
  • Machine Learning
  • Calibration
  • Optimisation
  • Introduction to Stochastic Control
  • An Introduction to LaTeX
• Trinity
  • Financial Computing with C++ II
  • Dissertation
  • Quantitative Risk Management (Full time)

MSc in Mathematical Modelling and Scientific Computing

• Michaelmas
  • B5.2 Applied Partial Differential Equations
  • Supplementary Applied Mathematics
  • B6.1 Numerical Solution of Differential Equations I
  • C6.1 Numerical Linear Algebra
  • Mathematical Modelling
  • Practical Numerical Analysis
  • Additional Skills
  • C6.3 Approximation of Functions
  • B5.5 Further Mathematical Biology
  • B6.3 Integer Programming
  • C5.11 Mathematical Geoscience
  • C5.12 Mathematical Physiology
  • C5.5 Perturbation Methods
  • C5.1 Solid Mechanics
  • C5.3 Statistical Mechanics
  • C8.1 Stochastic Differential Equations
  • C5.7 Topics in Fluid Mechanics
  • B5.3 Viscous Flow
• Hilary
  • B5.6 Nonlinear Systems
  • Further Partial Differential Equations
  • Further Mathematical Methods
  • C6.2 Continuous Optimisation
  • Case Studies in Mathematical Modelling
  • Case Studies in Scientific Computing
  • C5.6 Applied Complex Variables
  • C3.9 Computational Algebraic Topology
  • Spec02: Continuum Models in Industry
  • C5.2 Elasticity and Plasticity
  • C6.4 Finite Element Method for PDEs
  • Spec04: Mathematical Analytics
  • C5.9 Mathematical Mechanical Biology
  • B8.3 Mathematical Models of Financial Derivatives
  • Spec01: Maths for Energy
  • C5.4 Networks
  • B6.2 Numerical Solution of Differential Equations II
  • B5.1 Stochastic Modelling of Biological Processes
  • B5.4 Waves and Compressible Flow
• Trinity
  • C++ for Scientific Computing
  • Python in Scientific Computing
  • Randomised Algorithms for Matrix Computations and Data Analysis
  • MMSC Dissertations

MSc in Mathematics and Foundations of Computer Science

Schedule of units for course: MFoCS 2017-18

• Michaelmas
  • C3.1 Algebraic Topology
  • C1.3 Analytic Topology
  • B2.1 Introduction to Representation Theory
  • C2.1 Lie Algebras
  • C1.1 Model Theory
  • B3.5 Topology and Groups
  • C3.4 Algebraic Geometry
  • C2.2 Homological Algebra
  • SB3a Applied Probability
  • Categories, Proofs and Processes
  • B8.4 Communication Theory
  • Computer Aided Formal Verification
  • Foundations of Computer Science
  • B8.5 Graph Theory
  • Introduction to Cryptology
  • Automata, Logic and Games
  • C8.3 Combinatorics
  • Computational Game Theory
  • C3.7 Elliptic Curves
• Hilary
  • B3.4 Algebraic Number Theory
  • C3.8 Analytic Number Theory
  • B2.2 Commutative Algebra
  • C1.2 Godel's Incompleteness Theorem
  • Lambda Calculus and Types
  • C3.6 Modular Forms
  • C1.4 Axiomatic Set Theory
  • C2.4 Infinite Groups
  • C2.6 Introduction to Schemes
  • C2.5 Non-Commutative Rings
  • C3.2 Geometric Group Theory
  • C2.3 Representation Theory of Semisimple Lie Algebras
  • Computational Learning Theory
  • Quantum Computer Science
  • Analysing Logics using Tree Automata
  • Advanced Cryptology
  • Categorical Quantum Mechanics
  • C3.9 Computational Algebraic Topology
  • Distributional Models of Meaning
  • C5.4 Networks
  • C8.4 Probabilistic Combinatorics
  • Probability and Computing
• Trinity
  • Concurrency
  • Computational Number Theory
  • MFoCS Dissertations

Prelims Mathematics & Philosophy

Schedule of units for course: Prelims Mathematics & Philosophy 2017-18

• Michaelmas
  • Introduction to University Mathematics
  • Introduction to Complex Numbers
  • M1: Linear Algebra I
  • M2: Analysis I - Sequences and Series
  • M3: Introductory Calculus
  • M3: Probability
• Hilary
  • M1: Linear Algebra II
  • M1: Groups and Group Actions
  • M2: Analysis II - Continuity and Differentiability
• Trinity
  • M1: Groups and Group Actions
  • M2: Analysis III - Integration

Part A Mathematics & Philosophy

Schedule of units for course: Part A Mathematics & Philosophy 2017-18

• Michaelmas
  • A0: Linear Algebra
  • A2: Metric Spaces and Complex Analysis
  • A8: Probability
• 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

Mathematical and Theoretical Physics

• Michaelmas
  • Quantum Field Theory
  • Groups and Representations
  • Topological Quantum Theory
  • Radiative Processes and High Energy Astrophysics
  • An Introduction to LaTeX
  • Nonequilibrium Statistical Physics
  • Kinetic Theory
  • Quantum Processes in Hot Plasma
• Hilary
  • String Theory I
  • An Introduction to LaTeX
  • Cosmology
  • Astrophysical Gas Dynamics
  • Soft Matter Physics
  • Galactic and Planetary Dynamics
  • Lattice Quantum Field Theory
  • Collisionless Plasma Physics
  • Advanced Fluid Dynamics
  • Renormalisation Group
  • Symbolic, Numerical and Graphical Scientific Programming
  • Advanced Quantum Field Theory
  • Advanced Quantum Theory
• Trinity
  • String Theory II
  • Conformal Field Theory
  • Astrophysical Gas Dynamics
  • Soft Matter Physics
  • Quantum Matter: Superconductors, Superfluids, and Fermi Liquids
  • Introduction to Gauge-String Duality
  • Topics in Soft and Active Matter Physics
  • (Aspects of) Beyond The Standard Model and Astroparticle Physics
  • Quantum Field Theory in Curved Space-Time
  • The Standard Model
  • Topics in Quantum Condensed Matter Physics
  • Dissertation
  • Collisional Plasma Physics

Graduate Courses

• Michaelmas
  • Counting Binary Forms: An Introduction to the Methods of Manjul Bhargava
  • Rigid Analytic Geometry
• Hilary
  • Rigid Analytic Geometry
  • Applied Machine Learning in Python
  • Chiral Conformal Field Theory
• Trinity
  • Group Actions on R-trees