Mathematics (MMath)
- Subject area: Mathematics
- UCAS code: G101
- Next intake: September 2025
- Duration: 4 years
- Mode: Full time
Why study this course
If you want to gain a competitive edge in the employment market or prepare for a research career, the MMath degree can help you get on the fast track to your professional goals.
Excellent facilities
You will be taught in Abacws, the new home for the School of Mathematics. This world-leading facility has been designed in collaboration with students and academic staff to create interdisciplinary, flexible and creative workspaces, with innovative teaching areas being a key feature, including a new simulated Trading Room for financial mathematics.
Specialist knowledge
Alongside learning advanced mathematical techniques, you will gain specialist knowledge and skills through extensive coverage of topics beyond the scope of the BSc degree.
Project-based year
During your final year, you will have the opportunity to complete a substantial mathematical project at an advanced level in a research area of your choice.
Flexible degree schemes
In most cases, you're free to switch between degrees at the end of year one if your interests change. You will also have the opportunity to complete a Professional Placement Year or a Year Abroad between years two and three. You don’t need to commit to either of these options until the start of the second year, so there’s plenty of time to decide.
Professionally accredited course
This degree is accredited by the Institute of Mathematics and its Applications (IMA).
The four-year MMath degree expands on the BSc to prepare you for high-level entry into relevant professions. It’s also a solid base for pursuing a research career.
You will learn the same content as the three-year BSc degree, plus an additional year of study where you will complete a major piece of project work, such as:
- a survey of an existing area of mathematical theory not covered in taught modules
- an introductory research project
- the development of a piece of mathematical software
Not only will you explore a research topic of your choice, but you will also develop the crucial project and time management skills that graduate employers are looking for. You will also demonstrate that you are at the forefront of the discipline through extensive coverage of topics such as Mathematical Analysis, Mathematical Physics and Fluid Dynamics.
Accreditations
Subject area: Mathematics
Entry requirements
We accept a combination of A-levels and other qualifications, as well as equivalent international qualifications subject to entry requirements. Typical offers are as follows:
A level
AAA-ABB. Must include grade A in Maths.
Extended/International Project Qualification: Applicants with grade A in the EPQ/IPQ will typically receive an offer one grade lower than the standard offer. Please note that any subject specific requirements must still be met.
- Our grade range covers our standard offer and contextual offer. We carefully consider the circumstances in which you've been studying (your contextual data) upon application. Eligible students will be given an offer that is lower than the standard offer (usually the middle or lower end of the advertised grade range).
- Where there is no grade range advertised and/or where there are selection processes in place (like an interview) you may receive additional consideration in the selection process.
Learn about eligible courses and how contextual data is applied.
International Baccalaureate
36-32 overall or 666-665 in 3 HL subjects. Must include grade 6 in HL Maths or Maths Analysis and Approaches.
Baccalaureate Wales
From September 2023, there will be a new qualification called the Advanced Skills Baccalaureate Wales (level 3). This qualification will replace the Advanced Skills Challenge Certificate (Welsh Baccalaureate). The qualification will continue to be accepted in lieu of one A-Level (at the grades listed above), excluding any specified subjects.
Other essential requirements
You must have or be working towards:
- English language or Welsh language at GCSE grade C/4 or an equivalent (such as A-levels). If you require a Student visa, you must ensure your language qualification complies with UKVI requirements.
We do not accept Critical Thinking, General Studies, Citizenship Studies, or other similar equivalent subjects.
We will accept a combination of BTEC subjects, A-levels, and other qualifications, subject to the course specific grade and subject requirements.
English language requirements
GCSE
Grade C or grade 4 in GCSE English Language.
IELTS (academic)
At least 6.5 overall with a minimum of 5.5 in each subskill.
TOEFL iBT
At least 90 overall with a minimum of 17 for writing, 17 for listening, 18 for reading, and 20 for speaking.
PTE Academic
At least 69 overall with a minimum of 59 in all communicative skills.
Trinity ISE II/III
II: at least two Distinctions and two Merits.
III: at least a Pass in all components.
Other accepted qualifications
Please visit our English Language requirements page for more information on our other accepted language qualifications.
Criminal convictions
You are not required to complete a DBS (Disclosure Barring Service) check or provide a Certificate of Good Conduct to study this course.
If you are currently subject to any licence condition or monitoring restriction that could affect your ability to successfully complete your studies, you will be required to disclose your criminal record. Conditions include, but are not limited to:
- access to computers or devices that can store images
- use of internet and communication tools/devices
- curfews
- freedom of movement, including the ability to travel to outside of the UK or to undertake a placement/studies outside of Cardiff University
- contact with people related to Cardiff University.
Other qualifications from inside the UK
BTEC
DD-DM in a BTEC Diploma in any subject and grade A in A-Level Maths.
T level
Acceptance of T Levels for this programme will be considered on a case-by-case basis by the Academic School. Consideration will be given to the T Level grade/subject and grades/subjects achieved at GCSE/Level 2.
Please see our admissions policies for more information about the application process.
Tuition fees for 2025 entry
Your tuition fees and how you pay them will depend on your fee status. Your fee status could be home, island or overseas.
Learn how we decide your fee status
Fees for home status
| Year | Tuition fee | Deposit |
|---|---|---|
| Year one | £9,250 | None |
| Year two | £9,250 | None |
| Year three | £9,250 | None |
| Year four | £9,250 | None |
The University reserves the right to increase tuition fees in the second and subsequent years of a course as permitted by law or Welsh Government policy. Where applicable we will notify you of any change in tuition fee by the end of June in the academic year before the one in which the fee will increase.
Students from the EU, EEA and Switzerland
If you are an EU, EEA or Swiss national, your tuition fees for 2025/26 be in line with the overseas fees for international students, unless you qualify for home fee status. UKCISA have provided information about Brexit and tuition fees.
Fees for island status
Learn more about the undergraduate fees for students from the Channel Islands or the Isle of Man.
Fees for overseas status
| Year | Tuition fee | Deposit |
|---|---|---|
| Year one | £29,450 | None |
| Year two | £29,450 | None |
| Year three | £29,450 | None |
| Year four | £29,450 | None |
Learn more about our tuition fees
Financial support
Financial support may be available to individuals who meet certain criteria. For more information visit our funding section. Please note that these sources of financial support are limited and therefore not everyone who meets the criteria are guaranteed to receive the support.
Additional costs
Accommodation
We have a range of residences to suit your needs and budget. Find out more on our accommodation pages.
Living costs
We're based in one of the UK's most affordable cities. Find out more about living costs in Cardiff.
Course structure
We are currently working with our students to update and improve the content of this course. The information shown below reflects the current curriculum and is likely to change. The review of the course is expected to be completed by August 2025 and this page will be updated by end of October 2025 to reflect the changes.
This is a four-year full-time degree. The course includes a carefully chosen balance of core modules and optional modules. Most modules are worth 10 or 20 credits and you need to earn 120 credits a year. The modules you choose in years one, two and three will inform the choices available to you later.
The modules shown are an example of the typical curriculum and will be reviewed prior to the 2025/2026 academic year. The final modules will be published by September 2025.
Year one
In Year One your core modules will cover the foundation areas of Calculus, Algebra, Analysis, Computing, and Probability. You're also able to choose optional modules up to 10 credits in another subject.
Much of Year One is common to all of our degree schemes so transfer to another math degree is normally possible.
You are required to pass all first-year modules and achieve an average of at least 50% to proceed.
| Module title | Module code | Credits |
|---|---|---|
| Elementary Differential Equations | MA1001 | 10 credits |
| Computing for Mathematics | MA1003 | 20 credits |
| Geometry | MA1004 | 10 credits |
| Foundations of Mathematics I | MA1005 | 20 credits |
| Foundations of Mathematics II | MA1006 | 20 credits |
| Linear Algebra I | MA1008 | 10 credits |
| Introduction to Probability Theory | MA1500 | 10 credits |
| Module title | Module code | Credits |
|---|---|---|
| Classical Mechanics | MA1301 | 10 credits |
| Statistical Inference | MA1501 | 10 credits |
| Statistical Inference / Casgliadau Ystadegol | MA1551 | 10 credits |
| Finance I: Financial Markets and Corporate Financial Management | MA1801 | 10 credits |
Year two
In Year Two your core modules continue to build foundation knowledge in the areas of Pure and Applied Mathematics.You will also continue to broaden your knowledge of areas like Statistics and Operational Research.
There is a greater choice of optional modules in Year Two, currently making up 40 credits of your total for the year.
The modules you select will inform the choices available to you in Year Three.
| Module title | Module code | Credits |
|---|---|---|
| Calculus of Several Variables | MA2001 | 10 credits |
| Complex Analysis | MA2003 | 10 credits |
| Series and Transforms | MA2004 | 10 credits |
| Real Analysis | MA2006 | 10 credits |
| Linear Algebra II | MA2008 | 20 credits |
| Vector Calculus | MA2301 | 10 credits |
| Module title | Module code | Credits |
|---|---|---|
| Introduction to Number Theory I | MA2011 | 10 credits |
| Algebra I: Groups | MA2014 | 10 credits |
| Vibrations and Waves | MA2303 | 10 credits |
| Modelling with Differential Equations | MA2320 | 10 credits |
| Foundations of Probability and Statistics | MA2500 | 20 credits |
| Computational Statistics | MA2502 | 10 credits |
| Seiliau Tebygolrwydd ac Ystadegaeth / Foundations of Probability and Statistics | MA2550 | 20 credits |
| Computational Statistics / Ystadegaeth Gyfrifiadurol | MA2552 | 10 credits |
| Operational Research | MA2601 | 20 credits |
| Ymchwil Weithrediadol | MA2651 | 20 credits |
| Numerical Analysis | MA2701 | 10 credits |
| Mathematical Investigations with Python | MA2760 | 10 credits |
| Finance II: Investment Management | MA2800 | 10 credits |
| Problem Solving | MA2900 | 10 credits |
| Datrys Problemau | MA2901 | 10 credits |
Year three
In Year Three you will take a selection of advanced modules, allowing you to focus on topics of particular interest. The modules available in Year Three are closely aligned to the research interests of the School.
Year four
In Year Four 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 worth 40 credits, in which you will undertake novel research. This gives you the opportunity to develop presentation and communication skills, in addition to applying your mathematical skills to a research topic of your choice.
| Module title | Module code | Credits |
|---|---|---|
| MMath Project | MA4900 | 40 credits |
| Module title | Module code | Credits |
|---|---|---|
| Theoretical Fluid Dynamics | MA4003 | 20 credits |
| Lie Algebras | MA4006 | 20 credits |
| Quantum Information Theory | MA4016 | 20 credits |
| Calculus of Variations | MA4023 | 20 credits |
| Advanced Topics in Analysis: Sobolev Spaces and Elliptic PDEs | MA4024 | 20 credits |
| Mathematical Biology | MA4309 | 20 credits |
| Statistics of Big Data | MA4511 | 20 credits |
| Stochastic Search and Optimisation | MA4601 | 20 credits |
| Reading Module | MA4901 | 20 credits |
| Reading Module | MA4902 | 20 credits |
The University is committed to providing a wide range of module options where possible, but please be aware that whilst every effort is made to offer choice this may be limited in certain circumstances. This is due to the fact that some modules have limited numbers of places available, which are allocated on a first-come, first-served basis, while others have minimum student numbers required before they will run, to ensure that an appropriate quality of education can be delivered; some modules require students to have already taken particular subjects, and others are core or required on the programme you are taking. Modules may also be limited due to timetable clashes, and although the University works to minimise disruption to choice, we advise you to seek advice from the relevant School on the module choices available.
Learning and assessment
Teaching is carried out through lectures, small-group tutorials and examples classes. Increased independent learning is encouraged throughout the course.
In all years the classes are used to discuss theoretical concepts and essential mathematical techniques. You are encouraged to undertake additional reading outside of timetabled classes and reflect upon assessments and feedback.
In year four, more student participation is expected as some lectures take the form of seminars.
How will I be supported?
At the start of each year you will be given a guide to module aims, learning outcomes, methods of assessment, module syllabuses and reading lists. You will be allocated a personal tutor, a member of the academic staff who will provide pastoral support and academic advice during your course.
All lecturing staff can be contacted by email and have either an ‘open door’ policy for students with specific queries about course material, or a system to book meeting times. The School Office can answer most administrative queries immediately.
You will have access through the Learning Central website to relevant multimedia material, presentations, lecture handouts, bibliographies, further links, electronic exercises and discussion circles. Opportunities for you to reflect on your abilities and performance are available through the Learning Central ‘Personal Development Planning’ module.
The University offers a range of services including the Careers Service, the Counselling Service, the Disability and Dyslexia Service, the Student Support Service, excellent libraries and resource centres.
Further learning support is also available via the University wide Maths Support Service. This provides relaxed and informal daily drop-in sessions where students are encouraged to discuss any elements of their studies with a tutor on a one-to-one or small group basis.
How will I be assessed?
Many modules have written examinations at the end of the autumn or spring Semesters, with some also having an element of continuous assessment. This may include problem-solving exercises, written reports, computer programs and oral presentations. 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. You are encouraged to discuss any queries related to specific modules with individual lecturers.
Your major research project in year four is assessed through a written report and its oral examination.
The grade of your final degree is currently based on 20% from your year two studies, 30% from year three and 50% from year four. An average of at least 55% in years one and two is required to continue on this programme.
Feedback:
Written feedback and outline solutions on in-course assessment give you an opportunity to reflect on your progress. Further feedback is provided in examples classes and tutorials (in year one) to review problems in more detail and discuss potential solutions. You should discuss any queries related to specific modules with individual lecturers. There are a number of further feedback mechanisms in place to support your study; please see “How will I be supported?” below.
What skills will I practise and develop?
You will acquire and develop a range of valuable skills, both discipline specific and important employability skills. You will:
- develop your communication skills and ability to communicate mathematics in written and oral form
- demonstrate the effective self-management and organisational skills needed to undertake a substantial mathematical project
- enhance your computing, IT, information retrieval and handling skills
- develop your ability to apply logical and analytic thinking to problems in other disciplines
- demonstrate group working, time management and presentational skills
- show a commitment to lifelong learning through engaging in a process of personal development planning
Careers and placements
Career prospects
You can use your MMath as a pathway to the workforce where you may meet our alumni working in a variety of fields such as data science, operational research, internet technology, medicine, banking, logistics, risk management, and marketing. Or, you might choose to widen your career options to include a range of related fields by completing a PhD in mathematics, the sciences, computing or engineering.
Maths Careers Support
In the Spring semester of your first year, there are a range of masterclasses available to you to help support your future career prospects. The classes cover work experience, CV and covering letters, application forms, interview techniques, and an introduction to LinkedIn.
We have a regularly-updated student jobs board featuring a range of volunteering, internship, placement, and graduate opportunities. Plus, we organise a full programme of student and employer presentations every year with employers, such as Lloyds Banking Group, HSBC, PwC, Institute and Faculty of Actuaries, Sainsburys, Network Rail, GSK, Office of National Statistics, Welsh Government, the MOD, Welsh Water, and the Met Office.
The School of Mathematics also has a Careers Management Skills Programme, presentations by students returning from industry and a range of sponsored prizes awarded for academic achievement.
Placements
There is the option of taking a year studying at a university abroad between your second and third years. This would extend the MMath degree to five years.
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HESA Data: Copyright Higher Education Statistics Agency Limited 2021. The Higher Education Statistics Agency Limited cannot accept responsibility for any inferences or conclusions derived by third parties from its data. Data is from the latest Graduate Outcomes Survey 2019/20, published by HESA in June 2022.
