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Mathematics and its Applications (BSc)

  • G120

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

Mathematics is the language of science, technology and engineering, and its various branches are used throughout commerce and the business world. The three-year Mathematics and its Applications degree programme at Cardiff will provide you with the skills and tools that are used extensively in these fields.

Mathematics and its Applications

A good grounding in general mathematical techniques is provided as a foundation for understanding the more specialised applicable branches of mathematics, which include computing, numerical analysis, applied probability, statistics, operational research, and applied mathematics.
Many of the staff within the School of Mathematics have firsthand experience of applying mathematical principles to practical problems. This adds vitality to the courses by the inclusion of case studies, research activities, etc. so that you will be constantly made aware of the applicability of the subject matter of your studies. Many students on these courses undertake a project in Year 3 in place of 10 or 20 credits of some traditional taught modules.

Most of the first year is common with the other Mathematics degree programmes. This enables students who wish to do so to transfer at the end of the first year, subject to a satisfactory performance in the examinations.

Key Facts

UCAS Code G120
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/A*BB/A*AC
Admissions Tutors Dr Jonathan Thompson
Tel Number 029 2087 5524
Email address
School website

You study calculus, algebra and analysis in the first year, together with the applications branches of mechanics, statistics and computation. In the second year there are 60 credits of core modules; 40 credits in essential core mathematics and 20 credits in applied mathematics.

The remainder of the curriculum is optional and can either be in the applied mathematical side of the subject or the statistical field, including operational research, an important topic much used in business and commerce. In Year 3 you can choose from a wide range of applicable topics in applied mathematics, operational research, statistics, computational mathematics or mathematical physics. A project may replace 10 or 20 credits of traditional taught modules in Year 3, providing the opportunity to develop communication and presentational skills and to learn how to apply your mathematical skills to an investigation of your choice.

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.

The course structure is given below. All modules are 10 credits unless otherwise stated.

Year One

You will study the following core modules:

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

And 20 credits of optional modules from:

  • Mechanics I
  • Statistical Inference
  • Introduction to Java

Year Two

Specialisation continues in the second year.

You will study the following core modules:

  • Calculus of Several Variables
  • Complex Analysis
  • Matrix Algebra
  • Series and Transforms
  • Modelling with Differential Equations
  • Vector Calculus

And 60 credits from the following optional modules:

  • Foundations of Statistics (20 credits)
  • Operational Research (20 credits)
  • Analysis III
  • Linear Algebra
  • Elementary Fluid Dynamics
  • Mechanics II
  • Ordinary Differential Equations
  • Numerical Analysis II
  • Visual Basic Programming for Operational Research
  • Computational Statistics
  • Algorithms and Data Structures (20 credits)
  • Object Oriented Methods

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 AB/A*C at A level to include grade A in Mathematics

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