Mathematics (includes foundation year)

Key Facts

Code G10F
  • Typical A-level offer

    Available to candidates without formal qualifications who have suitable background education, experience and motivation

  • Course Length

    4 Years

Further details on entry requirements

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In choosing to study a degree in Mathematics at Aberystwyth University you will uncover a fascinating and challenging discipline that combines the analysis of patterns with the understanding of complex data sets. 

The degree in Mathematics with a foundation year is aimed at those who lack adequate entry qualifications in mathematics. The foundation year covers the essential mathematics to allow students to continue on to one of our three-year degree schemes.

Department of Mathematics: 92% student satisfaction (NSS 2016)

94% of undergraduates from the Department of Mathematics who graduated in 2015 were in employment or further education six months after graduating (DLHE 2015)

  • Overview
  • Course Content
  • Employability
  • Teaching, Learning and Assessment
  • Student Views


Mathematics is a subject that has fascinated humanity for thousands of years, from the ancient world to the present day. The language of Mathematics underpins much of the modern world – from science, technology and engineering, to finance and commerce – opening up a wide range of career opportunities for you.

Why study Mathematics with a foundation year at Aberystwyth?

The foundation year provides an entry into degree-level mathematics for those without the usual qualifications in mathematics. Examples include mature students who did not study mathematics at A-level, and those wishing to change their career paths.

Mathematics has been taught at Aberystwyth since the foundation of the University in 1872, making it the oldest mathematics department in Wales. Building on our heritage we have continued to innovate, aiming to ensure that the degree schemes we offer will provide you with the best mathematics degree you can possibly obtain. 

Cutting-edge research inspires our mathematics teaching: the Department of Mathematics entered almost 90% of its staff in the latest UK-wide periodic assessment of university research (the 2014 Research Excellence Framework). The results showed that one in eight of our research papers are world leading, and more than 60% are either world leading or internationally excellent. All of our research, and the impact it has outside universities, was judged to be of an international standard. You are therefore guaranteed to be taught by staff who are at the forefront of the subject.

The Department offers several modules taught through the medium of Welsh. Further details are available at .

Our Staff

Most lecturers in the Department of Mathematics are qualified to PhD level and are research active. Many have a postgraduate teaching qualification.

Course Content

Welsh medium modules available

Please note: The modules listed below are those currently intended for delivery during the next academic year and may be subject to change. They are included here to give an indication of how the course is structured.

Year 1 Core (90 Credits) Students must take the following modules

Semester 1

Mathematics Tutorial MA01000
Foundations Of Mathematics 1 MA02610
Introduction To Mathematical Methods For Physicists 1 PH06020

Semester 2

Introduction To Statistics MA00910
Mathematics Tutorial MA01020
Foundations Of Mathematics 2 MA03610
Introduction To Mathematical Methods For Physicists 2 PH06520

Year 1 Electives 30 credits of electives from the following lists

Semester 1

Information Technology For University Students CS01010

Information Technology For University Students CS01120

Introduction To Physical Forces PH01010

Introduction To The Physics Of Matter PH03010

Semester 2

Introduction To Oscillations And Waves PH02010

Introduction To Electricity And Magnetism PH02510

Year 2 Core (100 Credits) The following modules are core. You may substitute a Welsh medium alternative module (MT or FG) in place of an English one (MA or MP) if you wish (see below)

Semester 1

Coordinate And Vector Geometry MA10110
Probability MA10310
Algebra MA10510
Calculus MA10610
Classical Dynamics MP14010

Semester 2

Further Algebra And Calculus MA11010
Mathematical Analysis MA11110
Differential Equations MA11210
Statistics MA11310
Career Planning And Skills Development MP12910

Year 2 Options Welsh medium alternatives

Semester 1

Geometreg Gyfesurynnol A Fectoraidd MT10110

Tebygoleg MT10310

Algebra MT10510

Calcwlws MT10610

Dynameg Glasurol MT14010

Semester 2

Algebra A Chalcwlws Pellach MT11010

Dadansoddi Mathemategol MT11110

Hafaliadau Differol MT11210

Ystadegaeth MT11310

Cynllunio Gyrfa A Datblygu Sgiliau MT12910


Year 3 Core (80 Credits) The following modules are core. You may choose a Welsh medium (MT or FG) alternative module (see below) instead of an English (MA or MP) module:

Semester 1

Introduction To Numerical Analysis And Its Applications MA25200
Applied Statistics MA26600
Mathematical Physics MP26020

Semester 2

Linear Algebra MA21410
Complex Analysis MA21510
Introduction To Numerical Analysis And Its Applications MA25220
Applied Statistics MA26620

Year 3 Options You must also choose another 40 credits out of 50 credits from the following list subject to the agreement of the degree scheme coordinator

Semester 1

Real Analysis MA20110

Introduction To Abstract Algebra MA20310

Distributions And Estimation MA26010

Semester 2

Hydrodynamics 1 MA25610

Advanced Dynamics MA25710

Year 3 Options Welsh medium alternative modules.

Semester 1

Ffiseg Mathemategol FG26020

Dadansoddiad Real MT20110

Cyflwyniad I Ddadansoddiad Rhifiadol A'i Gymhwysiadau MT25200

Semester 2

Algebra Llinol MT21410

Cyflwyniad I Ddadansoddiad Rhifiadol A'i Gymhwysiadau MT25220

Hydrodynameg 1 MT25610

Final Year Options At least 90 credits from MA Level 3 Modules

Final Year Options Welsh Medium alternative modules

Semester 1

Normau A Hafaliadau Differol MT30210

Hafaliadau Differol Rhannol MT34110

Cyflwyniad I Addysgu Mathemateg Mewn Ysgol Uwchradd MT39020

Semester 2

Graffiau A Rhwydweithiau MT32410

Final Year Electives Up to 30 credits subject to Timetable and approval by Degree Scheme Co-ordinator. These may include further Mathematics Modules


A degree in Mathematics will prepare you for such career options where specialist numerical skills and logical and analytical thought are in high demand. These include working for organisations such as the Office of National Statistics and the Meteorological Office, but career paths such as accountancy and banking, risk analysis and actuarial work, finance management, investment analysis, information technology, research and lecturing are also open to you.

Transferable Skills

Studying for a degree in Mathematics will equip you with a range of transferable skills which are highly valued by employers. These include:

• research and data analysis skills
• enhanced mathematical and computational skills
• effective problem-solving and creative thinking skills
• a thorough grounding in information technology skills
• the ability to work independently
• time-management and organisational skills, including the ability to meet deadlines
• the ability to express ideas and communicate information in a clear and structured manner, in both written and oral form
• self-motivation and self-reliance
• team-working, with the ability to discuss concepts in groups, accommodating different ideas and reaching agreement

Year in Employment scheme (YES)

The University operates a Year in Employment Scheme (YES), which offers you a fantastic opportunity to take a year out between your second and third year to work in an organisation in the UK or overseas. YES provides a very rewarding and worthwhile experience, both personally and professionally, and can help you to stand out from the crowd in a very competitive job market. The University’s Career Service will help you to explore your options and secure a suitable work placement.

Teaching, Learning and Assessment

What will I learn?

In the first year you will be taught topics in mathematics and statistics, broadly equivalent to A-level Mathematics, along with a number of elective modules from within the Institute. The contact time with academic staff will be high, in order to provide timely assistance as you grasp new concepts and methods. In the second year you will follow a clearly defined pathway through the study of core disciplines, including Algebra and Calculus, Coordinate and Vector Geometry, Probability, Mathematical Analysis, Differential Equations, and Statistics.

In the third and fourth years you will study Real Analysis, Abstract Algebra, Linear Algebra, Distributions and Estimation, Statistical Methods and Mathematical Physics. Optional modules include Complex Analysis, Numerical Analysis, Advanced Dynamics, Hydrodynamics, Sampling, and Regression and Anova. You will be able to specialise further in your final year by choosing from a wide range of modules to suit your own interests.

You will also undertake a career planning module as part of your course, which will enhance your employability prospects and enable you to develop valuable transferable skills.

How will I be taught?

You will be taught through a complementary set of teaching and learning methods and approaches, ranging from formal lectures, seminars and tutorials to practicals and individual and group-based project work. Your progress will be assessed through a combination of coursework, presentations, reports and examinations.

Your personal tutor will help you with any problems or queries throughout your degree course, whether these are academic-related or personal issues. You should feel free to contact them at any time for help and advice.

We also offer the opportunity for you to complete a Personal Development Plan (PDP) at Aberystwyth. This is a structured process of self-appraisal, reflection, and planning, which will enable you to chart your personal, academic and professional development throughout your time at university. By recording your academic performance, and highlighting the skills you already have and those you will need for future employability, the PDP will equip you with the necessary tools to plan effectively, develop successful approaches to study, and consider your future career options and aspirations.

Student Views

There is never a boring topic and the course goes much deeper into mathematics than I was expecting. There are so many different modules to choose from that you will always find something to interest you. The lecturers are always willing to help. Elin Wyn Hughes

Maths is a great course with really friendly and approachable lecturers. The content is always really interesting but challenging to the right extent. The whole department works effectively to offer all the facilities needed to gain a good degree. Jennifer O'Neil

Entry Requirements

A Levels Available to candidates without formal qualifications who have suitable background education, experience and motivation

GCSE requirements (grade C min):
English or Welsh, Mathematics

BTEC National Diploma:
Available to candidates without formal qualifications who have suitable background education, experience and motivation

International Students

International Baccalaureate:
Available to candidates without formal qualifications who have suitable background education, experience and motivation

European Baccalaureate:
Available to candidates without formal qualifications who have suitable background education, experience and motivation

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