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Mathematics (MMath)

  • G101

4 Years (full-time) / n/a (part-time) / n/a (distance / e-Learning)

The four-year MMath programme provides the opportunity to delve more deeply into pure and applied mathematics than is possible on a BSc course. The programme is an ideal preparation if you want to go on to research work in mathematics, work for a technological company or simply want to gain a deeper understanding of mathematics, and develop skills which are in demand by a range of prospective employers.


Key Facts

UCAS Code G101
Duration 4 years
How to apply
Typical places available The School admits 140 students each year to its undergraduate degree programmes.
Typical applications received 600
Scholarships & Bursaries
Typical A-level offer AAA - A*AB
Admissions Tutors Dr Jonathan Thompson
Tel Number 029 2087 5524
Email address
School website

The MMath degree programme is offered to satisfy a need for a more advanced level of mathematical training than is available in a 3-year programme. The modules offered in the first three years of the programme are common to the 3-year degree programmes in mathematics, allowing the flexibility of transfer between courses.

The modules from the School of Mathematics listed below are for the 2014/5 academic year. The 2015/6 programmes will be advertised from 1st August 2015. If you require further information before then please contact our admissions team.

In the first year you study a variety of mathematics and computing modules. In the second and third years you take a selection of advanced modules that allow you to build on the interests developed in the first year.

In the fourth year the course develops research training and enhanced mathematical skills, especially in Mathematical Analysis, Mathematical Physics and Fluid Dynamics. There is also a major piece of project work in which you would be undertaking novel research. The course is an ideal preparation for students wishing to go on to research work in mathematics, work for a technological company or who simply want to gain a deeper understanding of mathematics, and it is highly regarded by prospective employers.

The course structure is given below. All modules are 10 credits unless otherwise stated.

Year One

You will study the following core modules:

  • Calculus
  • Elementary Differential Equations
  • Algebra I and II
  • Analysis I and II
  • Dynamical Systems and Chaos
  • Introduction to Probability Theory
  • Computing Skills
  • Number Theory I
  • Numerical Analysis I

And 10 credits of optional modules from :

  • Mechanics I
  • Statistical Inference

Year Two

Specialisation continues in the second year.

You will study the following core modules:

  • Calculus of Several Variables
  • Matrix Algebra
  • Complex Analysis
  • Series and Transforms
  • Analysis III
  • Linear Algebra
  • Numerical Analysis II
  • Vector Calculus

And 40 credits from the following optional modules:

  • Number Theory II
  • Modelling with Differential Equations
  • Mechanics II
  • Elementary Fluid Dynamics
  • Ordinary Differential Equations
  • Operational Research (20 credits)
  • Foundations of Probability and Statistics (20 credits)

Year Three

You will study the following core modules:

  • Coding Theory and Data Compression (20 credits)
  • Functional and Fourier Analysis (20 credits)
  • Combinatorics
  • Differential Geometry

And 60 credits from the following optional modules:

  • Methods of Applied Mathematics (20 credits)
  • Theoretical and Computational PDE’s (20 credits)
  • Knots
  • Groups, Rings and Fields
  • Complex Function Theory
  • Applied Nonlinear Systems
  • Fluid Dynamics
  • Mathematical Programming
  • Discrete Optimisation
  • Mathematical Statistics
  • Time Series Analysis and Forecasting

Year Four

You will study:

  • MMath Project (40 credits)

And 80 credits from the following modules:

  • Operator Algebras and Non-Commutative Geometry (20 credits)
  • Functional Analysis (20 credits)
  • Computational Fluid Dynamics (20 credits)
  • Measure Theory (20 credits)
  • Mathematical Principles of Image Processing (20 credits)
  • Reading Module (20 credits)

The School of Mathematics has a reputation for excellent teaching quality standards, a friendly atmosphere that pervades the School, and the care and support students receive from the staff. The School strives to ensure that its students react enthusiastically to their courses and thoroughly enjoy their learning experience.

The School offers a range of research-led teaching and learning opportunities which develop essential mathematical and employability skills. Teaching is carried out through a blend of lectures, tutorials and examples classes (laboratory classes where appropriate), including a major project component with an element of formal instruction in research methods and presentation skills in the fourth year. To aid the transition to University, all first year modules have associated tutorial sessions that promote peer interaction and discussion. For the majority of first year modules, welsh language tutorials are also available. Increased independent learning is encouraged throughout the programme and particularly in year four, some lectures will take more of a seminar style format.

In all years the classes are used to discuss both theoretical concepts and essential mathematical techniques. Students are encouraged to undertake additional reading outside of timetabled classes and fully engage with and reflect upon the formative/summative assessments that take place. Summative assessment is mainly through written examination that takes place either at the end of the Autumn or Spring Semester, but many modules involve an element of continuous assessment which includes problem solving exercises, written reports, computer programs, oral presentation etc. Feedback on progress is typically provided through a combination of discussion in class, written comments on submitted work and review of outline solutions to problems.

The degree award will be based on 20% from your Year 2 studies, 30% from Year 3, and 50% from Year 4.

All students are allocated a Personal Tutor for the duration of the Programme, from whom they can expect to receive pastoral advice, guidance and support. Students are encouraged to utilise personal tutors to reflect upon their academic and personal development, as well as future employment opportunities. To aid this process, an extensive online Personal Development Planning module is available to all students via Learning Central (Cardiff University’s Virtual Learning Environment).

Although Personal Tutors do not have a formal role in the teaching process most tutors are very happy to provide academic help when possible and students are encouraged to approach them at any time. In addition, students are encouraged to discuss any queries related to specific modules with individual lecturers. Module information and related resources are also made available to students via Learning Central.

Further learning support is also available via the University wide Maths Support Service.

Typical A-level Offer

 AAA-A*AB to include an A in Mathematics.

Typical WBQ Offer Grade A in the Core, plus and AA-A*B to include grade A in Mathematics
Typical Int Bacc Offer  36 points including at least 6 in Maths at Higher Level

Applications from those offering alternative qualifications are welcome. Please see detailed information about alternative entry requirements here

Please find here further information about admissions and selection criteria for this degree programme.

The Mathematics degree programmes at Cardiff will equip you with specialist numerical skills and develop your capacity for logical and analytical thought. These are qualities which are in demand across a broad range of stimulating and rewarding careers.

In addition to the formal teaching on the programme the School of Mathematics also has significant engagement with the Careers Service and Employers. This includes a Careers Management Skills Programme, numerous company presentations held in the School, presentations by students returning from industry, and a range of sponsored prizes awarded for academic achievement.

In 2010, 57% of the School’s graduates were in employment within six months of graduation while a further 28% were engaged in further study with others taking time out to travel etc.

Employers included: universities, banks plus organisations such as the Office of National Statistics and the Meteorological Office. Career destinations included: finance manager, lecturer, risk analyst and statistician.

Next intake:

School Contact

Name: Dr Jonathan Thompson  

Telephone: +44 (0)29 2087 5524 

Fax: +44 (0)29 2087 4199 


School Website:

More information