Mathematics (MSc)

Our MSc Mathematics delves into the fascinating, challenging and elegant world of mathematics; taking your skillset and knowledge base from a BSc in Mathematics (or similar) towards a point where you can embark on original research in pure and applied mathematics.

Our MSc Mathematics delves into the fascinating, challenging and elegant world of mathematics; taking your skillset and knowledge base from a BSc in Mathematics (or similar) towards a point where you can embark on original research in pure and applied mathematics.

The course consists of a mixture of taught modules in pure and applied mathematics, self-study modules which build skills crucial for both a research degree and the workplace, and a dissertation, which allows you to research mathematics under the guidance of experienced, research active academics.

This one year degree is the ideal preparation if you want to go on to do a PhD, work in research or for a technological company. You will gain a deeper understanding of mathematics and develop skills in demand by a range of prospective employers.

Distinctive features

  • available on a one year full-time basis
  • 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
  • provides an opportunity to undertake a supervised dissertation at an advanced level
  • students are taught and supervised by our research active staff, who will offer guidance and advice on an individual basis

Key facts

Next intakeSeptember 2019
Duration1 year
QualificationMSc
ModeFull-time
Contact

Admissions criteria

This Programme is suitable for graduates with a BSc in Mathematics or a related discipline with a strong mathematical component, covering basics of Real Analysis and Linear Algebra.

Applicants should hold a first or upper second class Honours degree (or overseas equivalent) in a relevant subject area or have appropriate professional experience.

Find out more about English language requirements.

Applicants who require a Tier 4 visa to study in the UK must present an acceptable English language qualification in order to meet UKVI (UK Visas and Immigration) requirements

This course is of one-year duration. All students complete a 20 credit reading module designed to develop research and other transferable skills; this can be done in either semester 1 or 2. Students also take 100 credits of optional modules in the taught component of the programme. This is followed by a 60 credit dissertation which will be undertaken over the summer, under the guidance of an experienced, research active academic.

The programme has two principle pathways, in pure and applied mathematics, but students can also access taught modules in all of the main areas of the School’s expertise: Algebra, Analysis, Applied and Computational Mathematics, Operational Research and Statistics.

The modules shown are an example of the typical curriculum and will be reviewed prior to the 2019/20 academic year. The final modules will be published by September 2019.

An explanation of the programme structure, and guidance in the choice of optional modules, is provided during the induction week. All students are assigned a personal tutor, to provide support and guidance throughout the programme.

All MSc Mathematics students are expected to have completed and passed Real Analysis and Linear Algebra or equivalent at the second year level of their undergraduate degree. There are two principal pathways through the MSc degree: pure and applied. To take the pure pathway you will need to have completed a third year level course on functional and Fourier analysis. To take the applied pathway you will need to have completed a third year level course on partial differential equations and their applications.

All MSc Mathematics students are required to take the core Reading Module MA4901 in either the Autumn or Spring semester.

Some of the optional modules have additional requirements, such as a background in probability/statistics or in number theory.

Students are encouraged to discuss their prerequisites and ways to make up for some gaps with their Admissions Tutor and, after enrolment, with their Personal Tutor.

You are required to achieve at least a 50% average and pass all 120 credits to continue to the dissertation stage. The dissertation is worth 60 credits and is a chance to apply 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?

We teach using a mixture of lectures, seminars and tutorials. Methods of teaching will vary from module to module, as appropriate depending on the subject matter and the method of assessment.

You will apply the skills you develop through presentations, reading assignments, and the summer dissertation.

How will I be supported?

All of our students are allocated a personal tutor when they enrol on the course. A personal tutor is there to support you during your studies, and can advise you on academic and personal matters that may be affecting you. You should have regular meetings with your personal tutor to ensure that you are fully supported.

You will have access to the Senghennydd Library, which holds our collection of mathematical and computer science-related resources, as well as to the other Cardiff University Libraries.

We will provide you with a copy of the Student Handbook, which contains details of the School’s policies and procedures. We also support students through the University’s virtual learning environment, Learning Central, where you can ask questions in a forum or find course-related documents.

Cardiff University also offers a wide range of support services which are open to our students, such as the Graduate Centre, counselling and wellbeing, financial and careers advisors, the international office and the Student Union.

Feedback

We offer written and oral feedback, depending on the coursework or assessment you have undertaken. You will usually receive your feedback from the module leader. If you have questions regarding your feedback, module leaders are happy to provide advice and guidance on your progress. We aim to provide you with feedback within twenty days following submission of an assessment.

How will I be assessed?

Most modules have closed book written exams 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 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. All students can review their exam scripts and discuss their performance with the corresponding module lecturer.

Your dissertation is assessed through a written report and an oral examination.

What skills will I practise and develop?

The Learning Outcomes for this Programme can be found below:

Knowledge & Understanding:

On successful completion of the Programme you will be able to demonstrate:

  • an in-depth understanding of a range of topics in pure mathematics (algebra, analysis and number theory) and/or the theoretical underpinning of methods in applied mathematics
  • an understanding of the concept of mathematical proof

Intellectual Skills:

On successful completion of the Programme you will be able to demonstrate:

  • the ability to formulate and solve mathematical problems
  • communication skills and the ability to communicate mathematical knowledge and understanding
  • plan and conduct a piece of novel research
  • independent critical thinking

Professional Practical Skills:

On successful completion of the Programme you will be able to demonstrate:

  • assimilate and communicate detailed mathematical arguments
  • use and critical evaluation of mathematical literature

Transferable/Key Skills:

On successful completion of the Programme you will be able to demonstrate:

  • logical reasoning
  • independent thinking
  • critical thinking
  • the ability to apply mathematical skills to solve problems
  • use of information technology and library resources
  • time and workload management
  • the ability to conduct independent research
  • communication and presentation

Specialist numerical skills and logical and analytical thought are qualities in demand across a range of stimulating and rewarding careers. There is a high demand for mathematicians across a range of sectors such as the oil and nuclear industries, medicine and IT, as well as many forms of engineering and different government departments. Further study at Masters level can be useful for some maths-related careers such as operational research, medical statistics in pharmaceutical companies, meteorology, engineering design, finance, investment banking, actuarial science and IT-based roles. Government agencies such as the Office of National Statistics and the Meteorological Office also provide employment opportunities for Mathematics graduates.

If you prefer to continue on a more academic career pathway, you may choose to continue your studies with a PhD.

Tuition fees

UK and EU students (2019/20)

Tuition feeDepositNotes
£9,350None

More information about tuition fees and deposits, including for part-time and continuing students.

EU students entering in 2019/20 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 2020/21 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.

Students from outside the EU (2019/20)

Tuition feeDepositNotes
£20,950£1,000

More information about tuition fees and deposits, including for part-time and continuing students.

Additional costs

There are no additional costs associated with the MSc Mathematics degree scheme unless students wish to purchase copies of textbooks for their personal use instead of using those available in the University library.

Will I need any specific equipment to study this course/programme?

What the student should provide:

Calculator that satisfies Cardiff University examination regulations. Students may wish to purchase textbooks but copies are available through the university libraries.

What the University will provide:

Laboratories, computer labs and appropriate software.