Past Paper Archive

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alt textC1.1 (C1.1a)_Model Theory
alt textC1.2 (C.1b)_Godel's Incompleteness Theorems
alt textC1.3 (C1.2a)_Analytic Topology
alt textC1.4 (C1.2b)_Axiomatic Set Theory
alt textC10.1b - Brownian Motion in Complex Analysis
alt textC11.1 - Graph Theory and Probabilistic Combinatorics
alt textC11.1a - Graph Theory
alt textC2.1 (C2.1a)_Lie Algebras
alt textC2.1b_Representation Theory of Symmetric Groups
alt textC2.2 (C2.2b)_Homological Algebra
alt textC2.2a - Building Infinite Groups
alt textC2.2b - Finite Group Theory
alt textC2.3 Representation Theory of Semisimple Lie Algebras
alt textC2.4 (C2.3b) - Infinite Groups
alt textC2.5 - Non-Commutative Rings
alt textC2.6 (C2.2a) - Commutative Algebra
alt textC2.6 - Introduction to Schemes
alt textC2.7 - Category Theory
alt textC3.1 (C3.1a) - Algebraic Topology
alt textC3.2 (C3.2b) - Geometric Group Theory
alt textC3.3 (C3.3b_C3.1b) - Differentiable Manifolds
alt textC3.4 (C3.4a_C3.1a) - Algebraic Geometry
alt textC3.5 (C3.4b) - Lie Groups
alt textC3.6 (C9.1a) - Modular Forms
alt textC3.7 (C9.1b) - Elliptic Curves
alt textC3.8 (C9.2aC9.1a) - Analytical Number Theory
alt textC3.9 Computational Algebraic Topology
alt textC4.1 (C4.1a) - Functional Analysis
alt textC4.1b - Banach and C-Algebras
alt textC4.2 (C4.1b) Linear Operations
alt textC4.3 (C5.1a) - Functional Analytic Methods for PDEs (Methods of Functional Analysis for PDEs)
alt textC4.4 (C5.3b) - Hyperbolic Equations
alt textC4.5 - Ergodic Theory
alt textC4.6 Fixed Point Methods for Nonlinear PDEs
alt textC4.7 Dynamical Systems and Energy Minimization
alt textC4.8 Complex Analysis Conformal Maps and Geometry
alt textC5.1 (C6.1a) - Solid Mechanics
alt textC5.11 (C8.1a) - Mathematical Geoscience
alt textC5.12 (C8.1b) - Mathematical Physiology
alt textC5.1b - Fixed Point Methods for Non-Linear PDEs
alt textC5.2 (C6.1b) - Elasticity and Plasticity
alt textC5.2b - Calculus of Variations
alt textC5.3 (C6.2a) - Statistical Mechanics
alt textC5.4 (C6.2b) - Networks (Exams)
alt textC5.4 - Networks (Miniprojects)
alt textC5.5 (C6.3a) - Perturbation Methods
alt textC5.6 (C6.3b) - Applied Complex Variables
alt textC5.7 (C6.4a) - Topics in Fluid Mechanics
alt textC5.8 (C6.4b) - Stochastic Modelling of Biological Processes
alt textC5.9 (C6.5b) - Mathematical Mechanical Biology
alt textC6.1 (C12.1a) - Numerical Linear Algebra
alt textC6.2 (C12.1b) - Continuous Optimisation
alt textC6.3 (C12.2aC12.3b) - Approximation of Functions
alt textC6.4 (C12.2b) - Finite Element Methods for Partial Differential Equations
alt textC7.1b - Quantum Theory and Quantum Computers
alt textC7.2 Electromagnetism
alt textC7.3 Further Quantum Theory
alt textC7.4 Introduction to Quantum Information
alt textC7.5 (C7.2a) - General Relativity
alt textC7.6 (C7.2b) - General Relativity II
alt textC8.1 (C10.1a) - Stochastic Differential Equations
alt textC8.2 - Stochastic Analysis and PDEs
alt textC8.3 (C11.1a) - Combinatorics
alt textC8.4 (C11.1b) - Probabilistic Combinatorics
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