Mathematics with a Foundation Year, BSc (Hons)

Clearing Help

Key Course Details

UCAS Code: G101
Mode of Study: Campus Based
Typical Offer: See Entry Requirements
Location: Bay Campus

Start Date	Tuition Fees - Year 1
Sep 2025	£ 9,535

4 Year Full Time With a Foundation Year

UCAS Code: G101
Mode of Study: Campus Based
Typical Offer: CDD - More Information
Location: Bay Campus

Start Date	Tuition Fees - Year 1
Sep 2025	£ 20,250

This course is available through Clearing

Clearing Help and Support 0808 175 3071

Course Overview

Our BSc Mathematics with a foundation year allows students who do not have the necessary qualifications to enter the degree at year one. You will be given the chance to develop an understanding which is essential to successfully completing the degree.

The full BSc degree covers a broad base of classical and modern mathematics. It allows you to focus on one aspect of the subject, or cover a breadth of material.

Find out about our Mathematics Scholarships

Why Mathematics with a Foundation Year at Swansea?

3rd in the UK for Student Satisfaction (Complete University Guide 2025)
7th in the UK (Guardian University 2025)
13th in the UK for Teaching Quality (Guardian University 2025)
Top 201-250 in the world (QS World University Rankings 2025)

Your learning will be shaped by inspirational and internationally-renowned academics including Dr Noemi Picco, Lecturer and applied mathematician who specialises in the mathematical modelling of health and disease, and, Professor of Mathematics, an expert in stochastic control theory and random population dynamics.

Your Mathematics with a Foundation Year Experience

Our staff are experts in their areas of mathematics with the majority being recognized by the Higher Education Academy with a Fellowship or Senior Fellowship.
You will master the ideas and logic of mathematics and their applications and acquire a highly desirable set of transferable skills that will set you apart in the employment marketplace.
You will receive high-quality personalised support through small-group tutorials.
Elected student representatives make sure that every student voice is heard.
The Swansea University Mathematics student society sponsors frequent social and academic events to bring students and staff together.
Our Mathematics Department is right next to the beautiful Swansea Bay beachfront, with numerous social and sport opportunities.
Our peer mentoring scheme helps new students settle into university and make new friends.
The new £32.5M Computational Foundry building at our Bay Campus gives students access to bespoke study and teaching spaces designed by and for mathematicians.
Our Mathematics Reading Room provides a quiet study space for mathematics students, as well as housing a departmental library of resources for study and research.

Mathematics with a Foundation Year Employment Opportunities

Mathematics graduates typically earn salaries 50% higher than the average graduate. Mathematicians are highly sought after in lucrative industries such as the actuarial profession, the financial sector, technology and systems administration Our graduates have recently gained employment at organisations including AXA, British Airways, Deutsche Bank, Shell Research, Health Authorities and Local Government.

What our students say about Mathematics at Swansea

Take a tour of our facilities

Modules

You will study the following compulsory modules and select from a choice of optional modules over the course of your degree. As you progress through your course you will have more flexibility to study more of the topics that interest you, culminating, in your final year with a 30-credit project module, studying an area of Mathematics of your choosing.

International/EU Students: Your Foundation Year will be taught by The College and your modules will be different to those below. You can find more information on the Undergraduate Pathways here.

Year 0 (Level 3)

Entry Level 3 / Foundation Year

Compulsory Modules
Module Name	Module Duration	Credits	Module Code
Introduction to Programming	September-January (TB1)	15	CSC061
Fundamentals of Robotics	September-January (TB1)	15	CSC079
Fundamental Mathematics	September-January (TB1)	15	MA-006
Computational Probability	September-January (TB1)	15	MA-009
Technologies for Information Presentation	January-June (TB2)	15	CSC009
Foundation Mathematics for Engineers II	January-June (TB2)	15	EG-002
Fundamental Complex Numbers	January-June (TB2)	15	MA-003
Fundamental Geometry	January-June (TB2)	15	MA-004

Year 1 (Level 4)

FHEQ 4 Undergraduate / HECert

Students choose 120 credits from the following:

Compulsory Modules
Module Name	Module Duration	Credits	Module Code
Geometry: Mathematics, Logic and Communication	September-January (TB1)	15	MA-131
Introduction to Modelling and Simulation	September-January (TB1)	15	MA-181

Optional Modules

Choose Exactly 15 credits from the following Modules:

NOTE : MAWXXX modules are for students who wish to study part of their course through the medium of Welsh.

Introduction to Analysis 1
Module Name	Module Duration	Credits	Module Code	Guidance
Introduction to Analysis 1	September-January (TB1)	15	MA-101
Cyflwyniad i Ddadansoddi 1	September-January (TB1)	15	MAW101

AND

Choose Exactly 15 credits from the following Modules:

Introduction to Analysis 2
Module Name	Module Duration	Credits	Module Code	Guidance
Introduction to Analysis 2	January-June (TB2)	15	MA-102
Cyflwyniad i Ddadansoddi 2	January-June (TB2)	15	MAW102

AND

Choose Exactly 15 credits from the following Modules:

Foundations of Algebra
Module Name	Module Duration	Credits	Module Code	Guidance
Foundations of Algebra	September-January (TB1)	15	MA-111
Sylfeini Algebra	September-January (TB1)	15	MAW111

AND

Choose Exactly 15 credits from the following Modules:

Introductory Linear Algebra
Module Name	Module Duration	Credits	Module Code	Guidance
Introductory Linear Algebra	January-June (TB2)	15	MA-112
Cyflwyniad i Algebra Llinol	January-June (TB2)	15	MAW112

AND

Choose Exactly 30 credits from the following Modules:

NOTE : Choose two modules.

Optional Modules
Module Name	Module Duration	Credits	Module Code
Mechanics and Dynamics	January-June (TB2)	15	MA-142
Introduction to Biomathematics	January-June (TB2)	15	MA-182
Probability and Statistics	January-June (TB2)	15	MA-192

Year 2 (Level 5)

FHEQ 5 Undergraduate / HEDip

Students choose 120 credits from the following:

Compulsory Modules
Module Name	Module Duration	Credits	Module Code
Differential Equations	September-January (TB1)	15	MA-241
Probability Theory	September-January (TB1)	15	MA-252

Optional Modules

Choose Exactly 15 credits from the following Modules:

NOTE : MAWXXX modules are for students who wish to study part of their course through the medium of Welsh.

Multi-Variable Analysis
Module Name	Module Duration	Credits	Module Code	Guidance
Multi-variable analysis	September-January (TB1)	15	MA-201
Dadansoddi Aml-Newidyn	September-January (TB1)	15	MAW201

AND

Choose Exactly 15 credits from the following Modules:

Metric Spaces and Measure Theory
Module Name	Module Duration	Credits	Module Code	Guidance
Metric spaces and measure theory	January-June (TB2)	15	MA-202
Gofodau Metrig a Theori Mesur	January-June (TB2)	15	MAW202

AND

Choose Exactly 15 credits from the following Modules:

Vector Spaces
Module Name	Module Duration	Credits	Module Code	Guidance
Vector Spaces	September-January (TB1)	15	MA-211
Gofodau Fector	September-January (TB1)	15	MAW211

AND

Choose Exactly 15 credits from the following Modules:

Groups and Rings
Module Name	Module Duration	Credits	Module Code	Guidance
Groups and Rings	January-June (TB2)	15	MA-212
Grwpiau a Chylchoedd	January-June (TB2)	15	MAW212

AND

Choose Exactly 30 credits from the following Modules:

NOTE : Subject to pre-requisite requirements.

Optional Modules
Module Name	Module Duration	Credits	Module Code
Professional Development and Career Planning	September-January (TB1)	0	MA-203
Mathematical Modelling: Theory and Practice	January-June (TB2)	15	MA-243
Credibility, Liability and Ruin	January-June (TB2)	15	MA-274
Game Theory and Optimization	January-June (TB2)	15	MA-282
Statistical Data Analysis	January-June (TB2)	15	MA-292

Year 3 (Level 6)

FHEQ 6 Undergraduate / Honours

Students choose 120 credits from the following:

Compulsory Modules
Module Name	Module Duration	Credits	Module Code
Higher Algebra	January-June (TB2)	15	MA-312

Optional Modules

Choose Exactly 15 credits from the following Modules:

NOTE : MAWXXX modules are for students who wish to study part of their course through the medium of Welsh.

Complex Analysis
Module Name	Module Duration	Credits	Module Code	Guidance
Complex Analysis	September-January (TB1)	15	MA-301
Dadansoddi Cymhlyg	September-January (TB1)	15	MAW301

AND

Choose Exactly 30 credits from the following Modules:

Project
Module Name	Module Duration	Credits	Module Code	Guidance
Project	September-June (TB1+2)	30	MA-300
Prosiect	September-June (TB1+2)	30	MAW300

AND

Choose Exactly 60 credits from the following Modules:

NOTE : Subject to pre-requisite requirements.

Optional Modules
Module Name	Module Duration	Credits	Module Code
Partial Differential Equations	September-January (TB1)	15	MA-311
Applied Algebra: Coding Theory	September-January (TB1)	15	MA-325
Cashflows and Interest Rates	September-January (TB1)	15	MA-345
Financial Mathematics in Discrete Time	September-January (TB1)	15	MA-358
Markov Processes and Applications	September-January (TB1)	15	MA-364
Machine Learning	January-June (TB2)	15	MA-308
Differential Geometry	January-June (TB2)	15	MA-324
Assurance and annuity	January-June (TB2)	15	MA-346
Financial Mathematics in Continuous Time	January-June (TB2)	15	MA-359
Risk and Survival Models	January-June (TB2)	15	MA-365
Biomathematics	January-June (TB2)	15	MA-371
Teaching Mathematics via a School Placement	January-June (TB2)	15	MA-395

Entry Requirements

We have vacancies across a variety of subjects for September 2025 entry – please call our Clearing Helpline on 0808 175 3071.

We also welcome enquiries from candidates researching starting a course in 2026 - please see our Entry Requirements Page to find out typical offer ranges or get in touch by email or by telephone 01792 295111.

Are you an international student, waiting on exam results or an English Language test score? If so, we'd encourage you to apply through our free and easy to use direct application system, as you may be eligible for a conditional offer.

How You're Taught

At Swansea, you will benefit from a high-quality, research-informed education that combines a range of effective and inclusive teaching methods, carefully tailored to suit the needs of your course. Most courses are taught in person, on campus, giving you the opportunity to actively engage with other students, academic staff, and the wider university community.

You can expect a mix of lectures, seminars, workshops, and practical sessions - including laboratory work, skills training, or studio-based teaching where relevant to your discipline. These sessions are designed to encourage active participation, collaboration, and the development of both subject-specific and transferable skills.

Digital learning tools are also used to enhance your learning experience. These may include:

Recorded lectures to support flexible study and revision.
Virtual labs or simulated environments, particularly in science, healthcare, and technical disciplines.
Online resources on the university’s virtual learning environment (Canvas), including videos, reading materials, quizzes, and discussion forums.

This approach enables you to engage with and review content at your own pace while benefiting from the structure and support of in-person teaching.

This course may offer some modules taught through the medium of Welsh or bilingually for students who consider themselves to be fluent Welsh speakers. For more details on the provision available see the Welsh Provision expander below.

N.B If you are an international student studying with a Student Route Visa, please note that your timetabled activity, along with any additional supervisory activity (with Swansea University staff present) will take place on campus. In line with UKVI protocol, these sessions will be monitored and data made available on request.

Welsh Provision

Some provision

There are opportunities for Welsh speakers to study some elements of this course through the medium of Welsh but there is not yet enough provision to reach 40 credits in each year.

Academi Hywel Teifi is here to support you throughout your time at Swansea University. We can offer you:

Access to generous Welsh-language study scholarships or bursaries.
Access to modules taught wholly or partly in Welsh.
Access to the Arwain mobile app for the latest information about Welsh-medium courses and modules available to download free on the App Store and Google Play.
An interview through the medium of Welsh when applying for a place.
The option to receive your personal correspondence in Welsh, English or bilingually.
The option to write and submit your coursework or exams through the medium of Welsh (even if you have chosen to study in English), and your work will be marked in Welsh.
A Welsh-speaking Personal Tutor.
One-to-one support to improve your academic Welsh language skills.
An opportunity to gain an additional free qualification that serves as evidence of your Welsh language ability for future employers.
Opportunity to be a member of the Swansea University Branch of the Coleg Cymraeg Cenedlaethol.

To learn more about the above and all the opportunities available to you through the medium of Welsh, visit Academi Hywel Teifi's undergraduate pages.

Professional Body Accreditation

Our BSc Mathematics will meet the educational requirements of the Chartered Mathematician designation, awarded by the Institute of Mathematics and its Applications, when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency (QAA) for taught masters degrees.

Meet Your Lecturers

You will be taught by our leading academic staff working in areas which include stochastics, algebra, topology, biomathematics, partial differential equations and mathematics education, to name a few.

Our Mathematics department is actively contributing to the United Nations Sustainable Development Goals through world-leading research, in areas such as Cancer research, further mathematics in schools and mathematical and statistical modelling.

Professor Elaine Crooks Head of the School of Mathematics and Computer Science

Professor Vitaly Moroz Head of Department

Dr Kristian Evans Programme Director

Dr Irina Rodionova Admissions Tutor

See all Mathematics staff

Tuition Fees

Start Date	UK	International
September 2024	£ 9,000	£ 19,300
September 2025	£ 9,535	£ 20,250

Fees for full time undergraduate UK students may increase in subsequent years of study in line with the maximum regulated fee level set by the Welsh Government

Fees for full time Undergraduate International students will increase by 3% for each subsequent year of study.

You can find further information of your fee costs on our tuition fees page.

You may be eligible for funding to help support your study. To find out about scholarships, bursaries and other funding opportunities that are available please visit the University's scholarships and bursaries page.

Current students: You can find further information of your fee costs on our tuition fees page.

Funding and Scholarships

You may be eligible for funding to help support your study.

To find out about scholarships, bursaries and other funding opportunities that are available please visit the University's scholarships and bursaries page.

Academi Hywel Teifi at Swansea University and the Coleg Cymraeg Cenedlaethol offer a number of generous scholarships and bursaries for students who wish to study through the medium of Welsh or bilingually. For further information about the opportunities available to you, visit the Academi Hywel Teifi Scholarships and Bursaries page.

Our Mathematics programmes have a range of funding options available. Find out more by visiting our Mathematics Scholarships and Bursaries webpages.

Additional Costs

Access to your own digital device/the appropriate IT kit will be essential during your time studying at Swansea University. Access to wifi in your accommodation will also be essential to allow you to fully engage with your programme. See our dedicated webpages for further guidance on suitable devices to purchase, and for a full guide on getting your device set up.

You may face additional costs while at university, including (but not limited to):

Travel to and from campus
Printing, photocopying, binding, stationery and equipment costs (e.g. USB sticks)
Purchase of books or texts
Gowns for graduation ceremonies

The tuition fees do not cover the costs of purchasing books or stationery, printing, thesis binding or photocopying costs.

There are no mandatory additional costs specified for this course.

Careers and Employability

Swansea Employability Academy (SEA) will support you at each stage of your career journey helping you build a bright future.

Our career support services include:

Employability workshops, employers’ talks, bespoke events and careers fairs
Individual advice and guidance from professionally qualified Careers Advisers
Help with finding jobs, internships, work placements and volunteering opportunities
Access to information resources on a wide range of career management topics
Advice and guidance on postgraduate study and funding
Funding to support student internship opportunities and Student Society/Club events.

We also provide help and advice for Swansea University Alumni up to two years after you graduate.

Academic Support

As well as subject specific support by college teaching staff and your personal tutor, the Centre for Academic Success provides courses, workshops and one-to-one support in areas such as:

Academic writing
Maths and statistics
Critical thinking
Time management
Digital skills
Presentation skills
Note taking
Revision, memory and exam techniques
English language skills (if English is not your first language).

In addition, if you have a Specific Learning Difficulty (SpLD), disability, mental health or medical condition, the Centre for Academic Success have Specialist Tutors to support your learning, working alongside the Disability Office and Wellbeing Service to support all your needs and requirements whilst studying at Swansea University.

The importance of gaining valuable core skills and life experience whist at University has never been so critical. In the Mathematics Department at Swansea University you will be taught a full range of topics by leading experts that will enable you to successfully pursue a wide range of careers.

Our lecturers operate an ‘open door’ policy so you can chat with them about any concerns you may be having. These do not have to be just course related; our academic staff are there to help you with anything at all during your time in Swansea.

Each course has a student rep. They are there to make sure that every student voice is heard. Their role is to listen and feedback on your opinions, attend regular meetings and make sure that the people who can make changes listen to the people who really matter- you!

We offer both a Personal Tutor and peer mentoring. All students on our undergraduate courses are assigned a Personal Tutor who will offer you not only Academic Guidance, but advice on finding and accessing help with personal issues. Our Peer mentoring scheme is in place to help new students settle into university life here at Swansea. You will get a chance to talk to your mentor who can tell you about their experiences as a student and also chat about student life. The peer mentoring scheme is a great way to meet students and widen your friendship circle while at Swansea.

You can also get help with personal issues from our wide range of student support such as CampusLife, Inclusive Student Support Services and The Centre for Academic Success.

Find out about our Swansea Employability Academy

Study Abroad and Global Opportunities

To learn more about study abroad, visit our Go Global webpages. Enrolment on a programme with a semester/year abroad does not guarantee you a semester/year abroad placement. Spaces are limited and subject to a competitive selection process. In the event you do not secure a semester/year abroad placement, you will be transferred to the standard variant of your degree scheme without a semester or year abroad.

International summer programmes are open to students from all schools. Programmes typically range from 2 to 6 weeks, across destinations such as Sri Lanka, South Korea, Fiji, Bali, the USA and across Europe. For more information about programmes and eligibility visit our Summer Abroad webpages.

How to Apply

UK applicants: Apply now via Clearing

For further information please see our Guide to Clearing.

International applicants: If you don't have all of your results yet, apply using our free direct application system and we'll consider making you a conditional offer. Be sure to check our application deadlines before you submit.

EU applicants: visa and immigration information is available and will be regularly updated on our Information for EU students page.

Application Deadlines

We recommend that you submit your application to our courses as early as you can in advance of our application deadlines. Courses will close earlier than the application deadlines listed if all available places are filled. You can find further information on our Application Deadlines webpage.