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  2. Undergraduate
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  4. School of Mathematics and Computer Science Undergraduate Courses
  5. Mathematics Undergraduate Courses
  6. Mathematics with a Foundation Year, BSc (Hons)

Mathematics with a Foundation Year, BSc (Hons)

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Accredited by the Institute of Mathematics and its Applications
UK Quality Assured
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A more complex society requires more complex mathematics

Accredited by the Institute of Mathematics and its Applications

Key Course Details

4 Year Full Time With a Foundation
UCAS Code
G101
Mode of Study
Campus Based
Typical Offer (view equivalents)
CDD
Location
Bay Campus
Start Date Tuition Fees - Year 1
Sep 2023 £ 9,000
4 Year Full Time With a Foundation
UCAS Code
G101
Mode of Study
Campus Based
Typical Offer
CDD - More Information
Location
Bay Campus
Start Date Tuition Fees - Year 1
Sep 2023 £ 18,400
Accredited by the Institute of Mathematics and its Applications
UK Quality Assured

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?

  • Mathematics ranked Top 100 in the QS World University Rankings by Subject 2023.
  • Top 300 in the QS World University Rankings 2023
  • World-class facilities for mathematical and computational science
  • The Swansea University Actuarial Science programme is accredited by the Institute and Faculty of Actuaries (IFoA)
  • 100% of publications are world-leading and internationally excellent - Research Excellence Framework (REF) 2021
  • We're 20th in the UK for Overall Satisfaction (NSS 2022)

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.

Related course
BSc Actuarial Science with a foundation year

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.

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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.

Year 0 (Level 3)

Entry Level 3 / Foundation Year
Compulsory Modules
Module NameModule DurationCreditsModule Code
Introduction to ProgrammingSeptember-January15CSC061
Fundamentals of RoboticsSeptember-January15CSC079
Fundamental MathematicsSeptember-January15MA-006
Computational ProbabilitySeptember-January15MA-009
Technologies for Information PresentationJanuary-June15CSC009
Basic Engineering Analysis 2January-June20EG-066
Fundamental GeometryJanuary-June15MA-004
Further Fundamental MathematicsJanuary-June10MA-010

Year 1 (Level 4)

FHEQ 4 Undergraduate / HECert

Students choose 120 credits from the following:

Compulsory Modules
Module NameModule DurationCreditsModule Code
Introduction to Analysis 1September-January15MA-101
Foundations of AlgebraSeptember-January15MA-111
Geometry: Mathematics, Logic and CommunicationSeptember-January15MA-131
Introduction to Modelling and SimulationSeptember-January15MA-181
Introduction to Analysis 2January-June15MA-102
Introductory Linear AlgebraJanuary-June15MA-112
Optional Modules
Optionals 

Choose Exactly 30 credits from the following Modules:

Module NameModule DurationCreditsModule CodeGuidance
Mechanics and DynamicsJanuary-June15MA-142
Introduction to BiomathematicsJanuary-June15MA-182
Probability and StatisticsJanuary-June15MA-192

Year 2 (Level 5)

FHEQ 5 Undergraduate / HEDip

Students choose 120 credits from the following:

Compulsory Modules
Module NameModule DurationCreditsModule Code
Multi-variable analysisSeptember-January15MA-201
Vector SpacesSeptember-January15MA-211
Differential EquationsSeptember-January15MA-241
Metric spaces and measure theoryJanuary-June15MA-202
Groups and RingsJanuary-June15MA-212
Optional Modules
Optionals 

Choose Exactly 45 credits from the following Modules:

NOTE : Subject to pre-requisite requirements

Module NameModule DurationCreditsModule CodeGuidance
Professional Development and Career PlanningSeptember-January0MA-203
Projective Geometry: theory and applicationsSeptember-January15MA-233
Probability TheorySeptember-January15MA-252
Mathematical Modelling: Theory and PracticeJanuary-June15MA-243
Credibility, Liability and RuinJanuary-June15MA-274
Game Theory and OptimizationJanuary-June15MA-282
Statistical Data AnalysisJanuary-June15MA-292

Year 3 (Level 6)

FHEQ 6 Undergraduate / Honours

Students choose 120 credits from the following:

Compulsory Modules
Module NameModule DurationCreditsModule Code
ProjectSeptember-June30MA-300
Complex AnalysisSeptember-January15MA-301
Higher AlgebraJanuary-June15MA-312
Optional Modules
Optional 

Choose Exactly 60 credits from the following Modules:

NOTE : Subject to Pre-Requisite Requirements

Module NameModule DurationCreditsModule CodeGuidance
Partial Differential EquationsSeptember-January15MA-311
Applied Algebra: Coding TheorySeptember-January15MA-325
Cashflows and Interest RatesSeptember-January15MA-345
Financial Mathematics in Discrete TimeSeptember-January15MA-358
Markov Processes and ApplicationsSeptember-January15MA-364
BiomathematicsSeptember-January15MA-371
Machine LearningJanuary-June15MA-308
Differential GeometryJanuary-June15MA-324
Numerical AnalysisJanuary-June15MA-331
Assurance and annuity January-June15MA-346
Financial Mathematics in Continuous TimeJanuary-June15MA-359
Risk and Survival ModelsJanuary-June15MA-365
Teaching Mathematics via a School PlacementJanuary-June15MA-395

Entry Requirements

Applicants who took Mathematics at A-Level should have CDD.

Applicants who did not study Mathematics at AS or A-Level should have BBC and a B grade for GCSE Mathematics.

Welsh Baccalaureate: Requirements are as for A levels where you can substitute the same non-subject specific grade for the Welsh Baccalaureate Advanced Level Core Grade.

Applicants with a BTEC or 'Access to Science' background are welcomed.

Unfortunately, we are unable to consider applicants with GCSE qualifications alone.

Access to HE (Science): 27 Merits to include Mathematics.

IB: 24 (including 4 in Maths Higher Level).

OS applicants should have CDD equivalent and IELTS 6.0 (all components at least 5.5).

All applications will be considered on an individual basis, and we will look at the whole application when deciding whether to make an offer of a place, including: the balance, nature and quality of A-level, AS and GCSE subjects (or equivalent); personal statement and referee’s comments.

General Studies and Key Skills qualifications are normally excluded from our offers.

International/EU Students

Please visit The College website for course information and entry requirements. If you don’t meet the entry requirements of our three-year undergraduate courses, you can join our Foundation or International Year One programmes at The College which will prepare you for your chosen Science degree path at Swansea University.

Click here to apply

How You're Taught

We are proud to provide an outstanding educational experience, using the most effective learning and teaching approaches, carefully tailored to suit the specific needs of your course. Apart from a small number of online-only courses, most of our courses consist of in-person, on-campus teaching, enabling full engagement with your lecturers and fellow students.

Practical skills sessions, lab work seminars, and workshops predominantly take place in person, allowing for group working and demonstrations. We also operate virtual labs and Simulated Learning Environments which will facilitate greater access to training opportunities in the future. However, our approach also includes the use of some online learning to support and enhance traditional face-to-face teaching. 

Online learning may take place ‘live’ using software such as Zoom, allowing you to interact with the lecturer and other students and to ask questions. Lecture recordings also allow for more flexibility to revisit material, to revise for assessments and to enhance learning outside of the classroom. Some modules have extra resources in Canvas, such as videos, slides and quizzes enabling further flexible study.

This course offers 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.

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 Academic Mentor.
  • 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 2022 £ 9,000 £ 17,500
September 2023 £ 9,000 £ 18,400

Fees for full time Undergraduate UK students may be increased in subsequent years of study by an inflationary amount determined by Welsh Government.

Fees for full time Undergraduate EU/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.

Find out about our Mathematics Scholarships

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 academic mentor, 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 academic mentoring and peer mentoring. All students on our undergraduate courses are assigned an Academic Mentor, 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 colleges. Programmes typically range from 2 to 6 weeks, across destinations such as China, Zambia, South Korea, Japan, Canada and across Europe. For more information about programmes and eligibility visit our Summer Abroad webpages.

How to Apply

Apply now – UK, EU and international students.

For further guidance please visit our how to apply pages.

EU students - 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.

Mathematics with a Foundation Year, BSc (Hons)

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