Mathematics (MMath)

Study Mathematics because it is fascinating, challenging and elegant and because it provides the skills much in demand for a wide range of careers. 

A Mathematical Formula.

The four-year MMath Mathematics course offers you the opportunity to delve more deeply into pure and applied mathematics than is possible on a BSc course.

The MMath course is an ideal preparation if you want to go on to work in research or for a technological company or simply want to gain a deeper understanding of mathematics and develop skills in demand by a range of prospective employers.

This course has an essential core of pure mathematics linked with modules from applied mathematics, statistics, computing and operational research and you will sample all of these branches in your first year.

Distinctive features

Studying Mathematics at Cardiff:

  • offers a sound basis of knowledge, understanding and skills in the main areas of mathematics
  • encourages an understanding of abstract mathematical concepts, logical argument and deductive reasoning
  • offers an education in mathematics appropriate for those intending to become professional mathematicians, or who wish to gain a deeper understanding of mathematics
  • gives an opportunity to undertake a substantial mathematical project at an advanced level
  • has an emphasis on independent learning

Much of year one is common to our courses, so if you wish to change to another course within the School this may be possible.

NOTE: 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.

Key facts

UCAS CodeG101
Next intakeSeptember 2016
Duration4 years
ModeFull time
Studying in WelshUp to 17% of this course is available through the medium of Welsh. Please contact the Admissions tutor for more information
AccreditationsInstitute of Mathematics and its Applications (IMA)
Typical places availableThe School typically has approx 170 places available.
Typical applications receivedThe School typically receives approx 700 applications.
Typical A level offerAAA-A*AB to include an A in Mathematics.
Typical Welsh Baccalaureate offerWBQ core will be accepted in lieu of one A-level (at the grades specified above), excluding Mathematics.
Typical International Baccalaureate offer36 points including at least 6 in Maths at Higher Level.
Other qualificationsWe also welcome applications from students from overseas and from students who have equivalent qualifications, such as BTEC, GNVQ, ACCESS, etc. Applicants with such qualifications should contact the admissions tutor, Jonathan Gillard or administrator Caroline Frame, for more information. Detailed alternative entry requirements are available for this course
Admissions tutor(s)

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.

Year one

Most of the first year modules are compulsory, but you can choose to study up to 10 credits in another subject.

Module titleModule codeCredits
Introduction to Probability TheoryMA150010 credits
Foundations of Mathematics IMA100520 credits
Vectors and MatricesMA100710 credits
Foundations of Mathematics IIMA100620 credits
Elementary Differential EquationsMA100110 credits
Computing for MathematicsMA100320 credits
GeometryMA100410 credits
Module titleModule codeCredits
Mechanics IMA130010 credits
Statistical InferenceMA150110 credits
Finance I : Financial Markets and Corporate Financial ManagementMA180110 credits
Module titleModule codeCredits

Year two

There is a greater choice of optional modules in year two. The modules you will inform the choices available to you later.

Module titleModule codeCredits
Real AnalysisMA200610 credits
Matrix AlgebraMA200210 credits
Complex AnalysisMA200310 credits
Series and TransformsMA200410 credits
Calculus of Several VariablesMA200110 credits
Linear AlgebraMA021210 credits
Module titleModule codeCredits
Modelling with Differential EquationsMA023210 credits
Operational ResearchMA026120 credits
Mechanics IIMA230010 credits
Elementary Number Theory IIMA021610 credits
Elementary Fluid DynamicsMA023510 credits
Ordinary Differential EquationsMA200510 credits
Foundations of Probability and StatisticsMA250020 credits
GroupsMA021310 credits
Numerical AnalysisMA270110 credits
Vector CalculusMA230110 credits
Module titleModule codeCredits

Year three

The modules available in year three are closely aligned to the research interests of the School. In year three you will take a selection of advanced modules, allowing you to focus on topics of particular interest. 

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, 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.

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.

How will I be taught?

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

Specialist numerical skills and logical and analytical thought are qualities in demand across a range of stimulating and rewarding careers. Employers of graduates from the School of Mathematics include the financial services sector and organisations such as the Office of National Statistics and the Meteorological Office.

Graduates of the MMath course often progress to PhD and other advanced studies. 

The School of Mathematics also has a Careers Management Skills Programme, company presentations held in the School, presentations by students returning from industry and a range of sponsored prizes awarded for academic achievement.

Jobs

  • Finance Manager
  • Lecturer
  • Risk Analyst
  • Statistician

Tuition fees

UK and EU students (2016/17)

EU students entering in 2016/17 will pay the same tuition fee as UK students for the duration of their course. Please be aware that fees may increase annually in line with inflation. No decisions regarding fees and loans for EU students starting in 2017/18 have been made yet. These will be determined as part of the UK's discussions on its membership of the EU and we will provide further details as soon as we can.

Tuition feeDepositNotes
£9,000None

Financial support may be available to individuals who meet certain criteria. For more information visit our Funding and fees 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.

Students from outside the EU (2016/17)

Tuition fees for international students are fixed for the majority of three year undergraduate courses. This means the price you pay in year one will be the same in years two and three. Some courses are exempt, including four and five year programmes. Please check with us for full clarification.

Tuition feeDepositNotes
£18,250None

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.


Key Information Sets (KIS) make it easy for prospective students to compare information about full or part time undergraduate courses, and are available on the Unistats website.