MMath, BSc Mathematics (Single degree scheme)

Programme overview

Entry requirements

Entry Requirements are available on the Course Search entry

Programme specification

The information on this page is accurate for students entering the programme in 2023/2024 or before. For students entering the programme from September 2024 or after, you can find the details of your programme:

MMath, BSc Mathematics(Single degree scheme) (For students entering from September 2024 onwards)

The programme will aim to:

- introduce students to the major branches of mathematics;
- meet the needs of students with varied mathematical backgrounds and with different aspirations within mathematics;
- enable the student to appreciate the coherence, logical structure, and broad applicability of mathematics;
- impart an awareness of the values of research and scholarship in mathematics;
- accustom students to the use of tools, including libraries and computers, that are available to mathematicians;
- provide a thorough training in the intellectual skills and advanced techniques of modern mathematics;
- develop the ability of students to abstract and generalize, to model various phenomena, and to interpret numerical data;
- enable future mathematicians to develop the skills associated with problem solving, rigorous argument and communication;
- educate new mathematicians to meet the needs of employers, including those in industry, finance, education and the public services;
- broaden and deepen the mathematical background of students;
- prepare students to work in fields where specific and broadly based advanced mathematical knowledge is required;
- enable students to embark on research in some area of mathematics or statistics;
- for those spending the year abroad in a non-English speaking country, enable the students to learn a foreign language and use it in studying mathematics at a University abroad;
- give students the opportunity to experience a wide and deep mathematics curriculum;
- give students the chance to undertake a substantial project.

Year 1

(Single degree scheme)

[Learning Outcomes, Transferable (Key) Skills, Assessment]
View Timetable

Compulsory Modules

Students are required to study the following compulsory modules:

Code	Title	Credits	Semester	Pass for Progression
MATH1000	Core Mathematics	40	Semesters 1 & 2 (Sep to Jun)	PFP
MATH1013	Computational Mathematics and Modelling	20	Semesters 1 & 2 (Sep to Jun)	PFP
MATH1110	Real Analysis	20	Semesters 1 & 2 (Sep to Jun)
MATH1120	Introduction to Group Theory	10	Semester 1 (Sep to Jan)
MATH1300	Dynamics and Motion	10	Semester 2 (Jan to Jun)
MATH1700	Probability and Statistics	20	Semesters 1 & 2 (Sep to Jun)

Candidates wishing to continue studies in Pure Mathematics will need to pass MATH1110 Real Analysis. Candidates wishing to continue studies in Statistics will need to pass MATH1700 Probability and Statistics.

Year 2

(Single degree scheme)

[Learning Outcomes, Transferable (Key) Skills, Assessment]
View Timetable

Compulsory Modules

Students are required to study the following compulsory modules:

Code	Title	Credits	Semester	Pass for Progression
MATH2002	Investigations in Mathematics	20	Semesters 1 & 2 (Sep to Jun)
MATH2130	Further Linear Algebra and Discrete Mathematics	20	Semester 1 (Sep to Jan)
MATH2350	Vector Calculus and Partial Differential Equations	20	Semester 1 (Sep to Jan)

Optional Modules

Pure and Applied Mathematics Pathway
Students must have passed MATH1110 Real Analysis in order to select the Pure and Applied Mathematics pathway.

Students on the Pure and Applied Mathematics pathway will additionally be required to study the following compulsory modules:

Code	Title	Credits	Semester	Pass for Progression
MATH2150	Calculus, Curves and Complex Analysis	20	Semester 2 (Jan to Jun)
MATH2400	Mathematical Modelling	20	Semester 2 (Jan to Jun)

Candidates will be required to study exactly one module from each of Lists A and B.

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH2140	Introduction to Logic	10	Semester 1 (Sep to Jan)
MATH2440	Optimisation	10	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH2120	Rings and Polynomials	10	Semester 2 (Jan to Jun)
MATH2380	Calculus of Variations	10	Semester 2 (Jan to Jun)

Pure Mathematics and Statistics Pathway
Students must have passed MATH1110 Real Analysis and MATH1700 Probability and Statistics in order to select the Pure Mathematics and Statistics pathway.

Students on the Pure Mathematics and Statistics pathway will additionally be required to study the following compulsory modules:

Code	Title	Credits	Semester	Pass for Progression
MATH2150	Calculus, Curves and Complex Analysis	20	Semester 2 (Jan to Jun)
MATH2701	Statistical Methods	20	Semester 2 (Jan to Jun)

Students will be required to select exactly one module from each of Lists A and B.

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH2140	Introduction to Logic	10	Semester 1 (Sep to Jan)
MATH2702	Stochastic Processes	10	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH2120	Rings and Polynomials	10	Semester 2 (Jan to Jun)
MATH2703	Time Series	10	Semester 2 (Jan to Jun)

Applied Mathematics and Statistics Pathway
Students must have passed MATH1700 Probability and Statistics in order to select the Applied Mathematics and Statistics pathway.

Students on the Applied Mathematics and Statistics pathway will additionally be required to study the following compulsory modules:

Code	Title	Credits	Semester	Pass for Progression
MATH2400	Mathematical Modelling	20	Semester 2 (Jan to Jun)
MATH2701	Statistical Methods	20	Semester 2 (Jan to Jun)

Students will be required to select exactly one module from each of Lists A and B.

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH2440	Optimisation	10	Semester 1 (Sep to Jan)
MATH2702	Stochastic Processes	10	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH2430	Fourier Series and Partial Differential Equations	10
MATH2703	Time Series	10	Semester 2 (Jan to Jun)

Discovery Modules

Candidates will be permitted to substitute any module(s) from Lists A or B with Discovery modules in the same semester, up to a total of 20 credits across the year.

Year 3

(Single degree scheme)

[Learning Outcomes, Transferable (Key) Skills, Assessment]
View Timetable

Students should normally enrol on exactly 120 or 125 credits in each academic year. Students are permitted to enrol for 110 (115) credits in either of the final 2 years of the programme, provided they register for 130 (125) credits in the other year. Over the final 2 years of the programme, students can enrol on at most 20 credits of Level 1 and 2 modules.

Over the final 2 years, students have to take at least 120 credits of Level 5 modules.

Students need to have passed at least 100 credits in their penultimate year and have a year average of at least 50 (on the 0 to 100 scale) to progress to the final year of the programme.

Compulsory Modules

Code	Title	Credits	Semester	Pass for Progression
MATH3002	Project in Mathematics	40	Semesters 1 & 2 (Sep to Jun)

Optional Modules

Students must choose at least 60 credits from the modules in Lists A and B, with at least 40 credits from List A.

It is strongly advised that students take a maximum of 10 credits of Level 2 modules.

Students will continue with the pathway they selected in Year 2.

Pure and Applied Mathematics pathway
Students on the Pure and Applied Mathematics pathway will additionally be required to study two modules from List A (note that MATH3140 Metric Spaces and Measure Theory and MATH3350 Computational Applied Mathematics are mutually exclusive and may not both be selected) and exactly one module from each of Lists B and C.

Students will be permitted to substitute up to 20 credits from List B or C with 20 credits of Discovery modules in Semester 2

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH3125	Groups and Symmetry	20	Semester 1 (Sep to Jan)
MATH3140	Metric Spaces and Measure Theory	20	Semester 1 (Sep to Jan)
MATH3300	Methods of Applied Mathematics	20	Semester 1 (Sep to Jan)
MATH3350	Computational Applied Mathematics	20	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH3150	Numbers and Codes	20	Semester 2 (Jan to Jun)
MATH3165	Proof and Computation	20	Semester 2 (Jan to Jun)
MATH3400	Fluid Dynamics	20	Semester 2 (Jan to Jun)
MATH3430	Entropy and Quantum Mechanics	20	Semester 2 (Jan to Jun)
MATH3902	Mathematics in Social Context	20	Semester 2 (Jan to Jun)

List C:

Code	Title	Credits	Semester	Pass for Progression
MATH3115	Graph Theory and Combinatorics	20	Semester 2 (Jan to Jun)
MATH3130	Differential Geometry	20	Semester 2 (Jan to Jun)
MATH3410	Nonlinear Dynamical Systems and Chaos	20	Semester 2 (Jan to Jun)
MATH3425	Mathematical Biology	20	Semester 2 (Jan to Jun)

Students on the Pure Mathematics and Statistics pathway will additionally be required to select two modules from List A (note that MATH3140 Metric Spaces and Measure Theory and MATH3503 Actuarial Mathematics I are mutually exclusive and may not both be selected) and exactly one module from each of Lists B and C.

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH3125	Groups and Symmetry	20	Semester 1 (Sep to Jan)
MATH3140	Metric Spaces and Measure Theory	20	Semester 1 (Sep to Jan)
MATH3503	Actuarial Mathematics 1	20	Semester 1 (Sep to Jan)
MATH3701	Statistical Modelling	20	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH3150	Numbers and Codes	20	Semester 2 (Jan to Jun)
MATH3165	Proof and Computation	20	Semester 2 (Jan to Jun)
MATH3500	Stochastic Calculus and Derivative Pricing	20	Semester 2 (Jan to Jun)
MATH3902	Mathematics in Social Context	20	Semester 2 (Jan to Jun)

List C:

Code	Title	Credits	Semester	Pass for Progression
MATH3115	Graph Theory and Combinatorics	20	Semester 2 (Jan to Jun)
MATH3130	Differential Geometry	20	Semester 2 (Jan to Jun)
MATH3504	Actuarial Mathematics 2	20	Semester 2 (Jan to Jun)
MATH3702	Multivariate Analysis and Classification	20	Semester 2 (Jan to Jun)

Applied Mathematics and Statistics pathway
Students on the Applied Mathematics and Statistics pathway will additionally be required to select two modules from List A (note that MATH3350 Computational Applied Mathematics and MATH3503 Actuarial Mathematics I are mutually exclusive and may not both be selected) and exactly one module from each of Lists B and C.

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH3300	Methods of Applied Mathematics	20	Semester 1 (Sep to Jan)
MATH3350	Computational Applied Mathematics	20	Semester 1 (Sep to Jan)
MATH3503	Actuarial Mathematics 1	20	Semester 1 (Sep to Jan)
MATH3701	Statistical Modelling	20	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH3400	Fluid Dynamics	20	Semester 2 (Jan to Jun)
MATH3430	Entropy and Quantum Mechanics	20	Semester 2 (Jan to Jun)
MATH3500	Stochastic Calculus and Derivative Pricing	20	Semester 2 (Jan to Jun)
MATH3902	Mathematics in Social Context	20	Semester 2 (Jan to Jun)

List C:

Code	Title	Credits	Semester	Pass for Progression
MATH3410	Nonlinear Dynamical Systems and Chaos	20	Semester 2 (Jan to Jun)
MATH3425	Mathematical Biology	20	Semester 2 (Jan to Jun)
MATH3504	Actuarial Mathematics 2	20	Semester 2 (Jan to Jun)
MATH3702	Multivariate Analysis and Classification	20	Semester 2 (Jan to Jun)

Discovery Modules

Candidates may study up to 20 credits of discovery modules at Level 2, 3 or 5M, including Mathematics modules and Level 1 Skills Modules. Over years 3 and 4 of the programme, students can enrol on at most 20 credits of Level 1 and 2 modules. Module choices are subject to the approval of the Programme Manager.

Year 4

(Single degree scheme)

[Learning Outcomes, Transferable (Key) Skills, Assessment]
View Timetable

Students must enrol on exactly 120 or 125 credits in each year of the programme.

Compulsory Modules

Code	Title	Credits	Semester	Pass for Progression
MATH5005M	Assignment in Mathematics	45	Semesters 1 & 2 (Sep to Jun)

Optional Modules

Students must take 120 or 125 credits at Level 5 with at least 100 credits from list A and B.

It is strongly advised that students take a maximum of 10 credits of Level 2 modules.

Students must take exactly one of the project modules below in List A.

Students will continue with the pathway they selected in Year 2.

Pure and Applied Mathematics pathway
Students on the Pure and Applied Mathematics pathway will additionally be required to study three modules from List A and two modules from List B.

Please note that students can only take MATH5007M in one of the two semesters (not both).

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH5007M	Independent Study in Mathematics	15	Semester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH5210M	Models and Sets	15	Semester 1 (Sep to Jan)
MATH5220M	Topology	15	Semester 1 (Sep to Jan)
MATH5240M	Functional Analysis and its Applications	15	Semester 1 (Sep to Jan)
MATH5301M	Advanced Mathematical Methods	15	Semester 1 (Sep to Jan)
MATH5370M	Environmental and Industrial Flows	15	Semester 1 (Sep to Jan)
MATH5420M	Evolutionary Dynamics	15	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH5007M	Independent Study in Mathematics	15	Semester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH5230M	Algebras and Representations	15	Semester 2 (Jan to Jun)
MATH5250M	Riemannian Geometry	15	Semester 2 (Jan to Jun)
MATH5401M	Astrophysical and Geophysical Fluid Dynamics	15	Semester 2 (Jan to Jun)
MATH5440M	Classical and Quantum Hamiltonian Systems	15	Semester 2 (Jan to Jun)

Pure Mathematics and Statistics pathway
Students on the Pure Mathematics and Statistics pathway will additionally be required to study three modules from List A and two modules from List B.

Please note that students can only take MATH5007M in one of the two semesters (not both).

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH5007M	Independent Study in Mathematics	15	Semester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH5210M	Models and Sets	15	Semester 1 (Sep to Jan)
MATH5220M	Topology	15	Semester 1 (Sep to Jan)
MATH5240M	Functional Analysis and its Applications	15	Semester 1 (Sep to Jan)
MATH5703M	Statistical Theory	15	Semester 1 (Sep to Jan)
MATH5741M	Statistical Theory and Methods	15	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH5007M	Independent Study in Mathematics	15	Semester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH5230M	Algebras and Representations	15	Semester 2 (Jan to Jun)
MATH5250M	Riemannian Geometry	15	Semester 2 (Jan to Jun)
MATH5701M	Advanced Statistical Modelling	15	Semester 2 (Jan to Jun)

Applied Mathematics and Statistics pathway
Students on the Applied Mathematics and Statistics pathway will additionally be required to study three modules from List A and two modules from list B.

Please note that students can only take MATH5007M in one of the two semesters (not both).

List A:

Code	Title	Credits	Semester	Pass for Progression
MATH5007M	Independent Study in Mathematics	15	Semester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH5301M	Advanced Mathematical Methods	15	Semester 1 (Sep to Jan)
MATH5370M	Environmental and Industrial Flows	15	Semester 1 (Sep to Jan)
MATH5401M	Astrophysical and Geophysical Fluid Dynamics	15	Semester 2 (Jan to Jun)
MATH5420M	Evolutionary Dynamics	15	Semester 1 (Sep to Jan)
MATH5702M	Statistical Computing	15	Semester 1 (Sep to Jan)
MATH5741M	Statistical Theory and Methods	15	Semester 1 (Sep to Jan)

List B:

Code	Title	Credits	Semester	Pass for Progression
MATH5007M	Independent Study in Mathematics	15	Semester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH5401M	Astrophysical and Geophysical Fluid Dynamics	15	Semester 2 (Jan to Jun)
MATH5440M	Classical and Quantum Hamiltonian Systems	15	Semester 2 (Jan to Jun)
MATH5701M	Advanced Statistical Modelling	15	Semester 2 (Jan to Jun)

Discovery Modules

Students may study up to 20 credits of discovery modules at Level 2, 3 or 5M, including Mathematics modules and Level 1 Skills Modules. Module choices are subject to the approval of the Programme Manager.

Over Years 3 and 4 of the programme, at most 20 credits of Level 1 Skills Discovery modules or level 2 modules may be chosen.

Last updated: 21/05/2026 17:38:42

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