Mathematics and its Applications (BSc)

Please note that this course is currently under review. Therefore the information shown is subject to change and indicative only. The review is expected to be completed by February 2017. This page will be updated after that date and will then represent the basis on which the University intends to deliver the course

Mathematics is the language of science, technology and engineering, and its various branches are used throughout commerce and the business world.

Maths equation on white page

Mathematics is the language of science, technology and engineering, and its various branches are used throughout commerce and the business world. The BSc in Mathematics and its Applications offers you the skills and tools used extensively in these fields.

The course provides a good grounding in general mathematical techniques as a foundation for understanding more specialised branches such as computing, numerical analysis, applied probability, statistics, operational research and applied mathematics.

Distinctive features

Studying Mathematics and its Applications at Cardiff University

  • has a particular focus on the applications of mathematics and many of our staff have first-hand experience of applying mathematical principles to practical problems
  • offers a sound basis of knowledge, understanding and skills in the main areas of mathematics
  • will give you opportunities to study a range of applications of mathematics
  • encourages an understanding of abstract mathematical concepts, logical argument and deductive reasoning
  • 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 or a year working in industry in the UK or Europe between your second and third years. This would extend the BSc degree to four years.

Key facts

Next intakeSeptember 2017
Duration3 years
ModeFull time
Studying in WelshUp to 22% 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.
Admissions tutor(s)

Entry requirements

For detailed entry requirements see the School of Mathematics admissions criteria pages.

Typical A level offerAAB including an A in Maths or A*BB/A*AC including an A in Maths.
Typical Welsh Baccalaureate offerWBQ core will be accepted in lieu of one A-level (at the grades specified above), excluding Mathematics.
Typical International Baccalaureate offer34 points including at least 6 in Maths at Higher Level.
Other requirementsWe 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.

This is a three-year full-time degree. The course includes a carefully chosen balance of core modules and optional modules. Modules are worth 10 or 20 credits and you need to earn 120 credits a year. The modules you choose in years one and two 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 2017/18 academic year. The final modules will be published by July 2017.

Year one

Most of the first year modules are compulsory, but you can choose to study one other mathematics module or one from another subject.

Module titleModule codeCredits
Elementary Differential EquationsMA100110 credits
Computing for MathematicsMA100320 credits
GeometryMA100410 credits
Foundations of Mathematics IMA100520 credits
Foundations of Mathematics IIMA100620 credits
Vectors and MatricesMA100710 credits
Introduction to Probability TheoryMA150010 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, including pure and applied mathematics, statistics and operational research. The modules you select will inform the choices available to you in year three.

Module titleModule codeCredits
Modelling with Differential EquationsMA023210 credits
Calculus of Several VariablesMA200110 credits
Matrix AlgebraMA200210 credits
Complex AnalysisMA200310 credits
Series and TransformsMA200410 credits
Vector CalculusMA230110 credits
Module titleModule codeCredits
InformaticsCM220310 credits
Introduction to the Theory of ComputationCM220710 credits
Algorithms and Data StructuresCM230320 credits
Linear AlgebraMA021210 credits
GroupsMA021310 credits
Elementary Number Theory IIMA021610 credits
Elementary Fluid DynamicsMA023510 credits
Operational ResearchMA026120 credits
Visual Basic Programming For ORMA027610 credits
AccountancyMA029110 credits
Ordinary Differential EquationsMA200510 credits
Real AnalysisMA200610 credits
Mechanics IIMA230010 credits
Foundations of Probability and StatisticsMA250020 credits
Programming and StatisticsMA250110 credits
Numerical AnalysisMA270110 credits
Problem SolvingMA290010 credits
Module titleModule codeCredits

Year three

The modules available in year three are closely aligned to the research interests of the School.  There are no compulsory modules and your options are wide-ranging. As well as taught modules, you may choose a 10-credit or 20-credit project, giving you the opportunity to develop communication and presentational skills and to learn how to apply your mathematical skills to an investigation 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.

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.

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.

The University offers a range of services including the Careers Service, the Counselling Service, the Disability and Dyslexia Service, the Student Support Service, and excellent libraries and resource centres.

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. The grade of your final degree will be based on 30% from your year two studies and 70% from year three.


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
  • develop good self-management and organisational skills
  • 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.

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.


  • Finance Manager
  • Lecturer
  • Risk Analyst
  • Statician

Tuition fees

UK and EU students (2017/18)

Tuition feeDepositNotes

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 (2017/18)

Tuition feeDepositNotes

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.

There is the option of taking a year studying at a university abroad between your second and third years. This would extend the BSc degree to four years.  You can also change to a degree programme that includes a year of Professional Placement.  This would also extend your BSc degree to four years.  Both of these options may depend on your academic performance.

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.