= Mathematics course of the University of Oxford
= Oxford MMath
{synonym}
https://www.ox.ac.uk/admissions/undergraduate/courses/course-listing/mathematics
List of handbooks open as of 2022 at: https://www.maths.ox.ac.uk/members/students/undergraduate-courses/teaching-and-learning/handbooks-synopses Kudos, e.g. unlike the <physics course of the University of Oxford> which paywalled them. 2022 one: https://www.maths.ox.ac.uk/system/files/attachments/UG%20Handbook%202022.pdf
The <Oxford mathematics Moodle> has detailed course listings, and most <PDFs> are not paywalled.
E.g. the 2024 course:
* Year 1: everything seems mandatory:
* Michaelmas Term
* Introduction to University Mathematics
* Introduction to Complex Numbers
* Linear Algebra I
* Analysis I
* Introductory Calculus
* Probability
* Geometry
* Hilary Term
* Linear Algebra II
* Groups and Group Actions
* Analysis II
* Dynamics
* Fourier Series and Partial Differential Equations
* Multivariable Calculus
* Trinity Term
* Groups and Group Actions
* Analysis III
* Statistics and Data Analysis
* Constructive Mathematics
* Year 2:
* Mandatory big courses:
* Linear Algebra
* Differential Equations 1
* Metric Spaces and Complex Analysis
* long options:
* Rings and Modules
* Integration
* Topology
* Differential Equations 2
* Numerical Analysis
* Probability
* Statistics
* Fluids and Waves
* Quantum Theory
* short options
* Number Theory
* Group Theory
* Projective Geometry
* Integral Transforms
* Calculus of Variations
* Graph Theory
* Mathematical Modelling in Biology
* Year 3: pick any 8 courses. Does not say which courses exist in PDF but we can get them from https://courses.maths.ox.ac.uk/course/index.php?categoryid=814 of the <Oxford mathematics Moodle>:
* Michaelmas
* B1.1 Logic (2024-25)
* B2.1 Introduction to Representation Theory (2024-25)
* B3.2 Geometry of Surfaces (2024-25)
* B3.5 Topology and Groups (2024-25)
* B4.1 Functional Analysis I (2024-25)
* B5.2 Applied Partial Differential Equations (2024-25)
* B5.3 Viscous Flow (2024-25)
* B5.5 Further Mathematical Biology (2024-25)
* B6.1 Numerical Solution of Partial Differential Equations (2024-25)
* B6.3 Integer Programming (2024-25)
* B7.1 Classical Mechanics (2024-25)
* B8.1 Probability, Measure and Martingales (2024-25)
* B8.4 Information Theory (2024-25)
* B8.5 Graph Theory (2024-25)
* BO1.1 History of Mathematics (2024-25)
* BOE Other Mathematical Extended Essay (2024-25)
* BSP Structured Projects (2024-25)
* Hilary
* B1.2 Set Theory (2024-25)
* B2.2 Commutative Algebra (2024-25)
* B2.3 Lie Algebras (2024-25)
* B3.1 Galois Theory (2024-25)
* B3.3 Algebraic Curves (2024-25)
* B3.4 Algebraic Number Theory (2024-25)
* B4.3 Distribution Theory (2024-25)
* B4.2 Functional Analysis II (2024-25)
* B5.1 Stochastic Modelling of Biological Processes (2024-25)
* B5.4 Waves and Compressible Flow (2024-25)
* B5.6 Nonlinear Dynamics, Bifurcations and Chaos (2024-25)
* B6.2 Optimisation for Data Science (2024-25)
* B7.2 Electromagnetism (2024-25)
* B7.3 Further Quantum Theory (2024-25)
* B8.2 Continuous Martingales and Stochastic Calculus (2024-25)
* B8.3 Mathematical Models of Financial Derivatives (2024-25)
* B8.6 High Dimensional Probability (2024-25)
* SB3.1 Applied Probability (2024-25)
* BO1.1 History of Mathematics (2024-25)
* BOE Other Mathematical Extended Essay (2024-25)
* BSP Structured Projects (2024-25)
* Year 4: pick any 8 courses (up to 10 if you're crazy). Does not say which courses exist in PDF but we can get them from https://courses.maths.ox.ac.uk/course/index.php?categoryid=814 of the <Oxford mathematics Moodle>:
* Michaelmas
* C1.1 Model Theory (2024-25)
* C1.4 Axiomatic Set Theory (2024-25)
* C2.2 Homological Algebra (2024-25)
* C2.4 Infinite Groups (2024-25)
* C2.7 Category Theory (2024-25)
* C3.1 Algebraic Topology (2024-25)
* C3.3 Differentiable Manifolds (2024-25)
* C3.4 Algebraic Geometry (2024-25)
* C3.7 Elliptic Curves (2024-25)
* C3.8 Analytic Number Theory (2024-25)
* C4.1 Further Functional Analysis (2024-25)
* C4.3 Functional Analytic Methods for PDEs (2024-25)
* C5.2 Elasticity and Plasticity (2024-25)
* C5.5 Perturbation Methods (2024-25)
* C5.7 Topics in Fluid Mechanics (2024-25)
* C5.11 Mathematical Geoscience (2024-25)
* C5.12 Mathematical Physiology (2024-25)
* C6.1 Numerical Linear Algebra (2024-25)
* C6.5 Theories of Deep Learning (2024-25)
* C7.1 Theoretical Physics (C6) (2024-25)
* C7.5 General Relativity I (2024-25)
* C8.1 Stochastic Differential Equations (2024-25)
* C8.3 Combinatorics (2024-25)
* CCD Dissertations on a Mathematical Topic (2024-25)
* COD Dissertations on the History of Mathematics (2024-25)
* Hilary
* C1.2 Gödel's Incompleteness Theorems (2024-25)
* C1.3 Analytic Topology (2024-25)
* C2.3 Representation Theory of Semisimple Lie Algebras (2024-25)
* C2.5 Non-Commutative Rings (2024-25)
* C2.6 Introduction to Schemes (2024-25)
* C3.2 Geometric Group Theory (2024-25)
* C3.5 Lie Groups (2024-25)
* C3.6 Modular Forms (2024-25)
* C3.9 Computational Algebraic Topology (2024-25)
* C3.10 Additive Combinatorics (2024-25)
* C3.11 Riemannian Geometry (2024-25)
* C3.12 Low-Dimensional Topology and Knot Theory (2024-25)
* C4.6 Fixed Point Methods for Nonlinear PDEs (2024-25)
* C4.9 Optimal Transport & Partial Differential Equations (2024-25)
* C5.1 Solid Mechanics (2024-25)
* C5.4 Networks (2024-25)
* C5.6 Applied Complex Variables (2024-25)
* C6.2 Continuous Optimisation (2024-25)
* C6.4 Finite Element Method for PDEs (2024-25)
* C7.1 Theoretical Physics (C6) (2024-25)
* C7.4 Introduction to Quantum Information (2024-25)
* C7.6 General Relativity II (2024-25)
* C7.7 Random Matrix Theory (2024-25)
* C8.2 Stochastic Analysis and PDEs (2024-25)
* C8.4 Probabilistic Combinatorics (2024-25)
* C8.7 Optimal Control (2024-25)
* CCD Dissertations on a Mathematical Topic (2024-25)
* COD Dissertations on the History of Mathematics (2024-25)
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