Mathematics (4 years) [MMath]

Year 4 Programme Structure

The fourth year of this degree programme consists of a compulsory (= mandatory) 30-credit fourth-year project plus 90 credits of optional level 4 MATH course units in Mathematics; the level 4 MATH courses, which are each of 15 credits, are listed below. You can access all course descriptions via your 'My Manchester' student portal, and you are advised to check the timetables for all course units before selection.

You should note that, in the 240 credits of course units in years 3 and 4 combined, 120 credits must be MATH courses at level 4 (which includes the 30-credit fourth year project).  If you took level 4 MATH course units in year 3, you will therefore be able to substitute up to 20 credits of level 3 MATH course units with level 3 outside course units; this allows you to continue an interest in an outside subject. As usual, taking an outside course requires the permission of the Year Tutor, and the appropriate 'Outside Course Unit Form' must be completed.  (Note that, for nearly all course units within this university, the first number digit of a course unit is the level, so that MCEL3**** and BMAN3**** are level 3 course units.)

If two courses you have chosen clash (such as between a lecture of one course and an example class of another) it may still be possible to take both courses with permission; you will need to complete the Course unit permission form. It is not recommended to take two courses which clash for more than a 1 hour clash in each semester.

For all issues to do with course selection you are strongly advised to consult with your Academic Advisor.


Level 4 course units


Description Semester Requirement Credit Rating Level
MATH41061 - Differentiable Manifolds 1 Optional 15 4
MATH42041 - Noncommutative Algebra 1 Optional 15 4
MATH42061 - Representation and Characters of Groups 1 Optional 15 4
MATH42121 - Galois Theory 1 Optional 15 4
MATH43021 - Set Theory 1 Optional 15 4
MATH43051 - Model Theory 1 Optional 15 4
MATH44041 - Applied Dynamical Systems 1 Optional 15 4
MATH45061 - Continuum Mechanics 1 Optional 15 4
MATH46101 - Numerical Linear Algebra 1 Optional 15 4
MATH47101 - Stochastic Calculus 1 Optional 15 4
MATH47201 - Martingales Theory for Finance 1 Optional 15 4
MATH48001 - Statistical Inference 1 Optional 15 4
MATH48011 - Linear Models with Nonparametric Regression 1 Optional 15 4
MATH48061 - Multivariate Statistics 1 Optional 15 4
MATH48091 - Statistical Computing 1 Optional 15 4
MATH48181 - Extreme Values and Financial Risk 1 Optional 15 4
MATH48191 - Statistical Modelling in Finance 1 Optional 15 4
MATH49111 - Scientific Computing 1 Optional 15 4
MATH62061 - Representation and Characters of Groups 1 Optional 15 4
MATH40082 - Computational Finance 2 Optional 15 4
MATH41012 - Fourier Analysis & Lebesgue Integration 2 Optional 15 4
MATH41022 - Analytic Number Theory 2 Optional 15 4
MATH42112 - Lie Algebras 2 Optional 15 4
MATH42132 - Algebraic Number Theory 2 Optional 15 4
MATH42142 - Analysis, Random Walks and Groups 2 Optional 15 4
MATH43042 - Godel's Theorems 2 Optional 15 4
MATH45122 - Transport Phenomena and Conservation Laws 2 Optional 15 4
MATH45132 - Stability Theory 2 Optional 15 4
MATH46052 - Approximation Theory and Finite Element Analysis 2 Optional 15 4
MATH46132 - Numerical Optimisation & Inverse Problems 2 Optional 15 4
MATH47112 - Brownian Motion 2 Optional 15 4
MATH48032 - Time Series Analysis and Financial Forecasting 2 Optional 15 4
MATH48052 - Generalised Linear Models and Survival Analysis 2 Optional 15 4
MATH48082 - Design and Analysis of Experiments 2 Optional 15 4
MATH48122 - Markov Chain Monte Carlo 2 Optional 15 4
MATH48132 - Longitudinal Data Analysis 2 Optional 15 4
MATH49102 - Stochastic Modelling in Finance 2 Optional 15 4
MATH40000 - Double Project 1 and 2 Mandatory 30 4
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