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Mathematics (MMath)

  • Subject area: Mathematics
  • UCAS code: G101
  • Next intake: September 2023
  • Duration: 4 years
  • Mode: Full time

Entry year

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.

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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.

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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.

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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.

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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.

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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

  • academic-schoolSchool of Mathematics
  • icon-chatGet in touch
  • Telephone+44 (0)29 2087 4811
  • MarkerSenghennydd Road, Cathays, Cardiff, CF24 4AG

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-AAB. 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 A level offer. Please note that any subject specific requirements must still be met.


This grade range reflects our typical standard and contextual offers. We carefully consider your contextual data (the circumstances in which you've been studying) upon application. Eligible students applying for this course will be given an offer at the lower end of the advertised grade range.

International Baccalaureate

36-34 overall or 666 in 3 HL subjects. Must include grade 6 in HL Maths or Maths Analysis and Approaches.

 

Baccalaureate Wales

From 2023, the Welsh Baccalaureate will be renamed the Baccalaureate Wales Advanced Skills Challenge Certificate. This qualification will continue to be accepted in lieu of one A-Level (at the grades listed above), excluding any specified subjects.

Other qualifications from inside the UK

BTEC

DD 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.

Qualifications from outside the UK

See our qualification equivalences guide

Additional entry 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 minimum scores of 17 for writing, 17 for listening, 18 for reading and 20 for speaking.

PTE Academic

At least 62 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.

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.

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.

Please see our admissions policies for more information about the application process.

Tuition fees for 2023 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

We are currently awaiting confirmation on tuition fees for the 2023/24 academic year. Fees for the previous year were £9,000.

Students from the EU, EEA and Switzerland

We are currently awaiting confirmation on tuition fees for the 2023/24 academic year.

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

We are currently awaiting confirmation on tuition fees for the 2023/24 academic year.

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

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 2023/2024 academic year. The final modules will be published by September 2023.

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.

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 titleModule codeCredits
Calculus of Several VariablesMA200110 credits
Complex AnalysisMA200310 credits
Series and TransformsMA200410 credits
Real AnalysisMA200610 credits
Linear Algebra IIMA200820 credits
Vector CalculusMA230110 credits
Module titleModule codeCredits
Introduction to Number Theory IMA201110 credits
Algebra I: GroupsMA201410 credits
Vibrations and WavesMA230310 credits
Modelling with Differential EquationsMA232010 credits
Foundations of Probability and StatisticsMA250020 credits
Operational ResearchMA260120 credits
Ymchwil WeithrediadolMA265120 credits
Numerical AnalysisMA270110 credits
Finance II: Investment ManagementMA280010 credits
Problem SolvingMA290010 credits
Datrys ProblemauMA290110 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 titleModule codeCredits
MMath ProjectMA490040 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
A Mathematical Formula.

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.

Studying in Welsh

Up to 36% of this course is available through the medium of Welsh. Please contact the Admissions tutor for more information.

Next steps

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How to apply

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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 2018/19, published by HESA in June 2021.