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Course Regulations for Year 4

Note: The modules below are for the current academic year only, it is not guaranteed that they will run next year, or in future years, due to their highly specialised nature.


Normal Load = 120 CATS. Maximum Load = 150 CATS.

Students are required to take at least 90 CATS from the Core plus Lists A, C and D and, in their third and fourth years combined, at least 105 CATS from the Core plus Lists C and D.

[For example, a typical MMath student might satisfy this last requirement by including two List C modules in their offering for Year 3, and then including MA4K8/9 Project and three other List C modules in their offering for Year 4.]

4th Year MMath students will not be allowed to take second year modules, except as unusual options and even then only with a valid reason for doing so.

Direct link to MA4K8/9 Projects.

Many List A Year 3 Mathematics modules have a support class timetabled in weeks 2 to 10. This is your opportunity to bring the examples you have been working on, to compare progress with fellow students, and where several people are stuck or confused by the same thing, to get guidance from the graduate student in charge. List C and D modules tend to have fewer students and support classes are less common; in these cases you are more than usually encouraged to discuss problems or concerns directly with the lecturer, either during or after lectures, or in office hours.

For a full list of available modules see the relevant course regulation page.

Maths Modules

Optional Modules - List A
As the Third year option List A for G103 Mathematics (not including MA395 Third Year Essay nor MA397 Consolidation) with the exception of second year modules (coded MA2xx for example).

Optional Modules - List B
As the Third Year option List B for G103 Mathematics with the exception of second year modules (coded MA2xx for example).

Optional Modules - List C and D:

Note: Modules with an asterix (*) after them are deemed particularly suitable for 3rd year MMath students to consider taking, but this should be done taking the advice given on the Year 3 Regulations page on board.

Term Code Module CATS List
Term 1 MA424 Dynamical Systems 15 List C
MA433 Fourier Analysis 15 List C
MA453 Lie Algebras * 15 List C
MA4A2 Advanced PDEs 15 List C
MA4A5 Algebraic Geometry 15 List C
MA4A7 Quantum Mechanics: Basic Principles and Probabilistic Methods 15 List C
MA4C0 Differential Geometry 15 List C
MA4E0 Lie Groups 15 List C
MA4H0 Applied Dynamical Systems 15 List C
MA4H4 Geometric Group Theory 15 List C
MA4J1 Continuum Mechanics * 15 List C
MA4J3 Graph Theory 15 List C
MA4J5 Structures of Complex Systems 15 List C
MA4J8 Commutative Algebra II 15 List C

Advanced Topics in Fluids


List C

MA4L6 Analytic Number Theory 15 List C
MA4L9 Variational Analysis and Evolution Equations 15 List C
MA4M5 Geometric Measure Theory * 15 List C
MA4M7 Complex Dynamics 15 List C
MA4M8 Theory of Random Graphs * 15 List C
PX408 Relativistic Quantum Mechanics 7.5 List C
PX425 High Performance Computing in Physics 7.5 List C
PX430 Gauge Theories for Particle Physics 7.5 List C
PX436 General Relativity 15 List C
Terms 1 & 2 MA4K8
Projects (Research/Maths in Action) 30 Core
MA472 Reading Module 15 List C
Term 2 MA426 Elliptic Curves 15 List C
MA427 Ergodic Theory 15 List C
MA442 Group Theory * 15 List C
MA448 Hyperbolic Geometry 15 List C
MA473 Reflection Groups 15 List C
MA482 Stochastic Analysis 15 List C
MA4E7 Population Dynamics: Ecology and Epidemiology 15 List C
MA4F7 Brownian Motion 15 List C
MA4H8 Ring Theory 15 List C
MA4H9 Modular Forms * 15 List C
MA4J0 Advanced Real Analysis 15 List C
MA4J7 Cohomology and Poincare Duality 15

List C


Statistical Mechanics


List C


Large Deviation Theory


List C


Algebraic Curves


List C

MA4M1 Epidemiology by Example 15 List C
MA4M2 Mathematics of Inverse Problems * 15 List C
MA4M4 Topics in Complexity Science 15 List C
MA4M6 Category Theory * 15 List C
MA4M9 Mathematics of Neuronal Networks 15 List C

Common Unusual Options

Term Code Module CATS List
Terms 1/2 STxxx ST4 modules offered by the Statistics Department (note ST401, ST402 and ST404 are only available to Statistics Students and ST407 is List B). 15 or 18 Unusual Option

Interdisciplinary Modules (IATL and GSD)

Second, third and fourth-year undergraduates from across the University faculties are now able to work together on one of IATL's 12-15 CAT interdisciplinary modules. These modules are designed to help students grasp abstract and complex ideas from a range of subjects, to synthesise these into a rounded intellectual and creative response, to understand the symbiotic potential of traditionally distinct disciplines, and to stimulate collaboration through group work and embodied learning.

Maths students can enrol on these modules as an Unusual Option, you can register for a maximum of TWO IATL modules but also be aware that on many numbers are limited and you need to register an interest before the end of the previous academic year. Contrary to this is GD305 Challenges of Climate Change , form filling is not required for this option, register in the regular way on MRM (this module is run by Global Sustainable Development from 2018 on).

Please see the IATL page for the full list of modules that you can choose from, for more information and how to be accepted onto them, but some suggestions are in the table below:

Term Code Module CATS List
Term 1 IL105

Applied Imagination

12/15 Unusual
GD305 Challenges of Climate Change 15 Unusual
Term 2 IL108 Reinventing Education 12/15 Unusual

Serious Tabletop Game Design and Development

12/15 Unusual
IL116 The Science of Music  7.5/15 Unusual
IL123 Genetics: Science and Society 12/15 Unusual


The Language Centre offers academic modules in Arabic, Chinese, French, German, Japanese, Russian and Spanish at a wide range of levels. These modules are available for exam credit as unusual options to mathematicians in all years. Pick up a leaflet listing the modules from the Language Centre, on the ground floor of the Humanities Building by the Central Library. Full descriptions are available on request. Note that you may only take one language module (as an Unusual Option) for credit in each year. Language modules are available as whole year modules, or smaller term long modules; both options are available to maths students. These modules may carry 24 (12) or 30 (15) CATS and that is the credit you get. We used to restrict maths students to 24 (12) if there was a choice, but we no longer do this.

Note: 3rd and 4th year students cannot take beginners level (level 1) Language modules.

There is also an extensive and very popular programme of lifelong learning language classes provided by the centre to the local community, with discounted fees for Warwick students. Enrolment is from 9am on Wednesday of week 1. These classes do not count as credit towards your degree.

The Transnational Resources Centre provides resources in the FAB building for all students registered with the Language Centre, more information can be found here.

A full module listing with descriptions is available on the Language Centre web pages.

Important note for students who pre-register for Language Centre modules

It is essential that you confirm your module pre-registration by coming to the Language Centre as soon as you can during week one of the new academic year. If you do not confirm your registration, your place on the module cannot be guaranteed. If you decide, during the summer, NOT to study a language module and to change your registration details, please have the courtesy to inform the Language Centre of the amendment.

Information on modules can be found at the Language Centre page


After completing the fourth year of the MMath degree the students will have

  • covered advanced mathematics in greater depth and/or breadth, and be in a position to decide whether they wish to undertake research in mathematics, and to ascertain whether they have the ability to do so
  • achieved a level of mathematical maturity which has progressed from the skills expected in school mathematics to the understanding of abstract ideas and their applications
  • developed
    • investigative and analytical skills,
    • the ability to formulate and solve concrete and abstract problems in a precise way, and
    • the ability to present precise logical arguments
  • been given the opportunity to develop other interests by taking options outside the Mathematics Department in all the years of their degree course.