DPT: Mathematics (MMath Hons) (UTMMATHEMA1F)

Jump to: Year 1, Year 2, Year 3, Year 4, Year 5

Year 1 Academic year: 2026/27, Starting in: September

All compulsory courses 'must be passed' before students are permitted to progress to the next year of the programme. This condition is stated clearly in the information below.

Compulsory courses

Introduction to Mathematics at University

Must be passed and taken during Semester 1

Linear Algebra 1

Must be passed and taken during Semester 2

Introduction to Mathematical Analysis

Must be passed and taken during Semester 2

Course options

Choose this course if you do not have Advanced Higher Mathematics; or you have Grade C or below in Advanced Higher Mathematics; or if you do not have A Level Further Mathematics.

Fundamentals of Algebra and Calculus

AND

Introduction to Data Science

AND

Students must consult course prerequisites and other requirements carefully when making course choices.

Year 2 Academic year: 2026/27, Starting in: August

Some compulsory courses 'must be passed' before students are permitted to progress to the next year of the programme. This condition is stated clearly in the information below.

Continuing Students - Select courses from Group A
Direct Entry Students - Select courses from Group B

Compulsory courses

Linear Algebra 2

Must be passed and taken during Semester 1

Further Analysis and Several Variable Calculus

Must be passed and taken during Semester 2

Modelling and Computing

Must be taken during Semester 2

Course options

Students are asked to note that although Elementary Probability and Statistics has two instances, it is the same course, delivered once in Semester 1 and once in Semester 2, with an examination in the May diet. Students can only take the course once during the academic year, and in most cases, the semester in which they take the course is prescribed by their programme.

Given that MATH08085 and MATH08086 are identical in content, students will have a maximum of 4 assessment attempts (3 assessment attempts for students subject to immigration control) combined for the two courses.

Selected courses must be taken during Semester 1

Elementary Probability and Statistics (Semester 1)

AND

Students must consult course prerequisites and other requirements carefully when making course choices.

Selected courses must be passed and taken during Semester 1

Introduction to Mathematics at University

Accelerated Algebra and Analysis

AND

Selected courses must be taken during Semester 2

Elementary Probability and Statistics (Semester 2)

Year 3 Academic year: 2026/27, Starting in: August

Students are normally required to obtain an average of at least 60% in Year 3 in order to progress to Year 4 of MMath.

Compulsory courses

Honours Differential Equations

Must be taken during Semester 1

Honours Analysis

Must be taken during Semester 1

Honours Complex Variables

Must be taken during Semester 2

Honours Algebra

Must be taken during Semester 2

Course options

SEMESTER 1 courses

Stochastic Modelling (Undergraduate)

Combinatorics and Graph Theory

Geometry

Statistical Methodology

Numerical Linear Algebra

AND

SEMESTER 2 courses

Financial Mathematics

Numerical Ordinary Differential Equations and Applications

Introduction to Number Theory

Linear Programming, Modelling and Solution

Statistical Computing

Applied Statistics

Metric Spaces

Classical Mechanics for Mathematicians

AND

Students must consult course prerequisites and other requirements carefully when making course choices.

Year 4 Academic year: 2026/27, Starting in: August

1. 120 credits of Level 11 Mathematics courses (MATH11XXX) MUST be taken across Years 4 and 5 of study.

Two types of Level 11 course exist: undergraduate and postgraduate. Level 11 courses labelled as postgraduate in the DRPS can only be taken by MMath students:

a) if they are included in the optional courses listed in Collection A of the DPT;

and / or

b) if the 'Prerequisites' and 'Other Requirements' sections of the DRPS course catalogue entry indicate that the course is available to undergraduate as well as postgraduate students.

(Please note that where there are restrictions on the number of places available on a course, students on postgraduate taught programmes will be given priority over undergraduate students.)

2. Students wishing to undertake a non-compulsory Year Abroad in Year 4 of the MMath programme should have:

a) achieved 'A' grades in the following courses:

- Introduction to Linear Algebra*
- Proofs and Problem Solving*
- Calculus and its Applications*
- Several Variable Calculus and Differential Equations
- Fundamentals of Pure Mathematics

(* or Direct Entry equivalents - Accelerated Proofs and Problem Solving & Accelerated Algebra and Calculus for Direct Entry)

AND

b) achieved at least 70% in the four Honours courses:

- Honours Analysis
- Honours Differential Equations
- Honours Algebra
- Honours Complex Variables

There are no compulsory courses in this year of this programme.

Course options

Taking Statistical Case Studies together with Mathematics Project is not recommended, as both are year-long courses with final deadlines very close together.

Mathematical Education

Mathematics Project

Statistical Case Studies

AND

Probability, Measure & Finance

AND

SEMESTER 1 courses

Stochastic Modelling (Undergraduate)

Mathematical Biology

Commutative Algebra

Theory of Statistical Inference

Essentials in Analysis and Probability

Applied Stochastic Differential Equations

Fundamentals of Operational Research

Combinatorics and Graph Theory

Geometry

General Topology

Group Theory

Linear Analysis

Statistical Methodology

Numerical Linear Algebra

Entrepreneurship in the Mathematical Sciences

Introduction to Partial Differential Equations

Quantum Mechanics for Mathematicians

Statistics in Education

Introduction to Lie Groups

Topics in Ring and Representation Theory

Further Complex Variables

Differential Geometry

Axiomatic Set Theory

Classical Field Theory

Fluid Dynamics

Magnetohydrodynamics I

AND

SEMESTER 2 courses

Financial Mathematics

Fourier Analysis

Numerical Ordinary Differential Equations and Applications

Multivariate Data Analysis

Introduction to Number Theory

Linear Programming, Modelling and Solution

Algebraic Topology

Galois Theory

Advanced Methods of Applied Mathematics

Statistical Computing

Applied Statistics

Metric Spaces

Classical Mechanics for Mathematicians

Algebraic Geometry

Geometry of General Relativity

Applied Dynamical Systems

Modern Methods in Geometry and Topology

Numerical Partial Differential Equations

Analytic Number Theory

Topics in Mathematical Physics A

Magnetohydrodynamics II

AND

These Postgraduate Taught courses may be taken by Undergraduate students *without* requiring a concession. (NB. students on Postgraduate taught programmes are given priority in the allocation of places.)

Students must consult course prerequisites and other requirements carefully when making course choices. In particular, students are unable to take Financial Risk Theory (MATH11132) in Year 4 as they cannot meet the prerequisites; it can be taken in Year 5 if the prerequisite courses are taken in Year 4.

Simulation

Finance, Risk and Uncertainty

Fundamentals of Optimization

Time Series

Financial Risk Theory

Large Scale Optimization for Data Science

Optimization Methods in Finance

Bayesian Data Analysis

Bayesian Theory

Topics in Applied Operational Research

Incomplete Data Analysis

Risk and Logistics

Integer and Combinatorial Optimization

Operational Research in the Energy Industry

Numerical Probability and Monte Carlo

Machine Learning in Python

Biostatistics

Industrial Mathematics

Numerical Methods for Data

Nonlinear Optimization

Design and Sampling for Data Science

Optimization under Uncertainty

AND

Students must consult course prerequisites and other requirements carefully when making course choices.

Note that students are not normally allowed to take Level 11 MSc courses from this collection. Students wishing to do so must get written permission from the relevant Course Organiser. Note that such courses are likely to be very challenging and students should consult their Academic Cohort Lead as to whether this is an appropriate choice for them.

Year 5 Academic year: 2026/27, Starting in: August

120 credits of Level 11 Mathematics courses (MATH11XXX) MUST be taken across Years 4 and 5 of study.

Two types of Level 11 course exist: undergraduate and postgraduate. Level 11 courses labelled as postgraduate in the DRPS can only be taken by MMath students:

a) if they are included in the optional courses listed in Collection A of the DPT;

and / or

b) if the 'Prerequisites' and 'Other Requirements' sections of the DRPS course
catalogue entry indicate that the course is available to undergraduate as well
as postgraduate students.

(Please note that where there are restrictions on the number of places available on a course, students on postgraduate taught programmes will be given priority over undergraduate students.)