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Mathematics (BSc)

  • G100

3 years (full-time) / n/a (part-time) / n/a (distance / e-Learning)

The BSc in Mathematics is a very flexible degree scheme. You study Mathematics because it is fascinating, challenging and elegant and because it provides the skills much in demand for a wide range of careers. According to how your interests and aptitudes develop, you may specialise in progressively more depth or you may choose a broad range of modules from the major branches of mathematics.


The course has an essential core of Pure Mathematics linked with a wide range of modules from Applied Mathematics, Statistics and Computing and you are encouraged to study the full range of these branches in your first year. The modules chosen one year give rise to the choices available to you in the next year.

In each year of study 120 credits of modules are taken. In Year Two, 60 credits of these are core modules, and the remaining 60 may be chosen from a list of options. In Year 3, there no core modules and you are provided with a range of modules from which to select. Students also have the opportunity to select a 10 or 20 credit project in Year 3 in place of some traditional taught modules.

Key Facts

UCAS Code G100
Duration 3 years
How to apply
Typical places available The School admits 140 students each year to its undergraduate degree programmes.
Typical applications received 600
Scholarships & Bursaries
Typical A-level offer AAB or A*BB/A*AC
Admissions Tutors Dr Jonathan Thompson
Tel Number 029 2087 5524
Email address
School website

Mathematics BSc is our most general degree programme and provides you with a firm foundation in all the main areas of mathematics, providing skills much in demand for a wide range of careers. It is a very flexible degree programme so you can specialise in the areas of mathematics that are of particular interest – pure mathematics, applied mathematics, operational research, statistics and computing. There is an essential core of pure mathematics in the first two years of study but you can start to tailor your degree to your interests even in Year One.

The modules from the School of Mathematics listed below are for the 2014/5 academic year. The 2015/6 programmes will be advertised from 1st August 2015. If you require further information before then please contact our admissions team.

You will study 120 credits of modules each year. In the first year, you can choose to study only mathematics modules or you may choose up to four modules from other disciplines, In Year 2, 60 credits of core modules are studied, together with 60 credits of modules chosen from a list of options. In the Year 3, there are no core modules. Instead you choose the 120 credits that are of most interest to you from a wide and diverse choice of options.

Year One

You will study the following core modules:

  • Calculus
  • Elementary Differential Equation
  • Algebra I and II
  • Analysis I and II
  • Dynamical Systems and Chaos
  • Introduction to Probability Theory
  • Computing Skills
  • Number Theory I

And 20 credits of optional modules from:

  • Mechanics I
  • Statistical Inference
  • Numerical Analysis I
  • Introduction to Java

Note that students can replace up to 40 credits in Maths with credits from other subjects, for example computing, physics, music or a language.

Year Two

Specialisation continues in the second year.

You will study the following core modules:

  • Calculus of Several Variables
  • Matrix Algebra
  • Complex Analysis
  • Series and Transforms
  • Analysis III
  • Linear Algebra

And 60 credits from the following optional modules:

  • Operational Research (20 credits)
  • Foundations of Statistics (20 credits)
  • Number Theory II
  • Modelling with Differential Equations
  • Numerical Analysis II
  • Mechanics II
  • Elementary Fluid Dynamics
  • Vector Calculus
  • Ordinary Differential Equations
  • Visual Basic Programming for Operational Research
  • Computational Statistics
  • Accountancy
  • Object Oriented Methods
  • Algorithms and Data Structures (20 credits)

Note that 10 credits may be selected from another subject.

Year Three

Specialisation is developed further and a project can be taken, which may involve practical application of theoretical knowledge. You will study 120 credits of modules from the following:

  • Functional and Fourier Analysis (20 credits)
  • Coding Theory and Data Compression (20 credits)
  • Methods of Applied Mathematics (20 credits)
  • Theoretical and Computational PDE’s (20 credits)
  • Stochastic Models and Applications to Finance (20 credits)
  • Regression Analysis and Experimental Design (20 credits)
  • Knots
  • Combinatorics
  • Complex Function Theory
  • Groups, Rings and Fields
  • Differential Geometry
  • Fluid Dynamics
  • Applied Nonlinear Systems
  • Time Series Analysis and Forecasting
  • Survey Sampling
  • Mathematical Statistics
  • Medical Statistics
  • Mathematical Programming
  • Discrete Optimisation
  • Queueing Theory and Stock Control
  • Mathematical Methods for Data Mining
  • Parallel Processing
  • Project (10 credits)
  • Project (20 credits)

The School of Mathematics has a reputation for excellent teaching quality standards, a friendly atmosphere that pervades the School, and the care and support students receive from the staff. The School strives to ensure that its students react enthusiastically to their courses and thoroughly enjoy their learning experience.

The School offers a range of research-led teaching and learning opportunities which develop essential mathematical and employability skills. Teaching is carried out through a blend of lectures, tutorials and examples classes. To aid the transition to University, all first year modules have associated tutorial sessions that promote peer interaction and discussion. For the majority of first year modules, welsh language tutorials are also available. Increased independent learning is encouraged throughout the programme.

In all years the classes are used to discuss both theoretical concepts and essential mathematical techniques. Students are encouraged to undertake additional reading outside of timetabled classes and fully engage with and reflect upon the formative/summative assessments that take place. Summative assessment is mainly through written examination that takes place either at the end of the Autumn or Spring Semester, but many modules involve an element of continuous assessment which includes problem solving exercises, written reports, computer programs, oral presentation etc. 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.

The degree award will be based on 30% from your Year 2 studies and 70% from Year 3.

All students are allocated a Personal Tutor for the duration of the Programme, from whom they can expect to receive pastoral advice, guidance and support. Students are encouraged to utilise personal tutors to reflect upon their academic and personal development, as well as future employment opportunities. To aid this process, an extensive online Personal Development Planning module is available to all students via Learning Central (Cardiff University’s Virtual Learning Environment).

Although Personal Tutors do not have a formal role in the teaching process most tutors are very happy to provide academic help when possible and students are encouraged to approach them at any time. In addition, students are encouraged to discuss any queries related to specific modules with individual lecturers. Module information and related resources are also made available to students via Learning Central.

Further learning support is also available via the University wide Maths Support Service.

Typical A-level Offer

 AAB including an A in Maths or A*BB/A*AC including an A in Maths

Typical WBQ Offer Grade A in the Core, plus Advanced Diploma and AA/A*B to include grade A in Mathematics

For 2015: Pass Advanced Diploma (Graded 1st Award) and AB/A*C at A level to include grade A in Mathematics

Typical Int Bacc Offer  34 points including at least 6 in Maths Higher Level

Applications from those offering alternative qualifications are welcome. Please see detailed information about alternative entry requirements here

Please find here further information about admissions and selection criteria for this degree programme.

The Mathematics degree programmes at Cardiff will equip you with specialist numerical skills and develop your capacity for logical and analytical thought. These are qualities which are in demand across a broad range of stimulating and rewarding careers.

In addition to the formal teaching on the programme the School of Mathematics also has significant engagement with the Careers Service and Employers. This includes a Careers Management Skills Programme, numerous company presentations held in the School, presentations by students returning from industry, and a range of sponsored prizes awarded for academic achievement.

In 2010, 57% of the School’s graduates were in employment within six months of graduation while a further 28% were engaged in further study with others taking time out to travel etc.

Employers included: universities, banks plus organisations such as the Office of National Statistics and the Meteorological Office. Career destinations included: finance manager, lecturer, risk analyst and statistician.

Next intake: September each year

School Contact

Name: Dr Jonathan Thompson  

Telephone: +44 (0)29 2087 5524 

Fax: +44 (0)29 2087 4199 


School Website:

More information