Mathematics BSc/MA/MSci/MA(SocSci)
Mathematics is a vast and ever-growing subject which incorporates successful explorations of numerical, geometrical and logical relationships.
Our programme allows you to choose from a wide variety of courses in honours years. Our ambassador scheme gives students the chance to spend time in schools, experiencing teaching at first hand and developing vital workplace skills.
- September start
- Session dates
- Mathematics BSc (Hons): G100 4 year degree
- Mathematics Faster Route BSc (Hons): 2GM1 3 year degree
- Mathematics MA (Hons): G102 4 year degree
- Mathematics MSci: G101 5 year degree
- Mathematics Faster Route MSci: MF20 4 year degree
- Glasgow: Gilmorehill campus
- Degree options
- Study abroad available
Why study Mathematics?
- Our ambassador scheme gives students the chance to spend time in schools, experiencing teaching at first hand and developing vital workplace skills
- The MacLaurin Society(or MacSoc), is the university's Mathematics and Statistics Society. Named after the Scottish mathematician Colin MacLaurin, it has been running since the 1950's and provides a supportive and friendly atmosphere for students in the School
Programme structure
A key feature of our degree programmes is the flexibility to study for a combined degree with large numbers of subjects from across the University. Particularly common combined degree combinations include Physics, Chemistry and Economics, but in recent years students have also completed combined degrees in subjects such as English, French, Music and Philosophy. Availability of certain courses in combined Honours programmes may be subject to timetabling restrictions.
Year 1
You will take a 40-credit course covering matrices, linear equations, complex numbers, vectors,calculus and groups. You will develop mathematical communication skills through regular small group problem-solving activities.
Year 2
Courses cover multivariable calculus, linear algebra, topics in applied mathematics, classical mechanics and mathematical modelling, introduction to real analysis, topics in pure mathematics including groups, transformations and symmetries. You can also choose to take optional mathematics courses on graphs and networks, and discrete mathematics.
You will also study other subjects in years 1 and 2: see Flexible degrees.
Years 3, 4 and 5
If you progress to Honours (years 3 and 4), you will study a wide range of topics.
The Applied Mathematics courses allow students who prefer the practical and applicable aspects of the subject to concentrate on these elements. The Pure Mathematics courses are ideal for students who prefer the abstract and logical aspects of the subject. Most students take a mix of both.
In fourth year you will have the opportunity to specialise in your area of choice and undertake a project carried out under the supervision of one of our academic staff.
There is also an opportunity to take an MSci degree over five years, which explores mathematics topics in greater depth and includes an individually supervised research project.
Course details
Year 1
Core courses:
You will take a 40-credit course covering matrices, linear equations, complex numbers, vectors, calculus and groups. You will develop mathematical communication skills through regular small group problem-solving activities.
Year 2
Core courses:
- Mathematics 2A: Multivariable Calculus
- Mathematics 2B: Linear Algebra
- Mathematics 2C: Introduction To Real Analysis
- Mathematics 2D: Mathematical Methods and Modelling
- Mathematics 2E: Mechanics
- Mathematics 2F: Groups, Transformations and Symmetries
Courses cover multivariable calculus, linear algebra, topics in applied mathematics, classical mechanics and mathematical modelling, introduction to real analysis, topics in pure mathematics including groups, transformations and symmetries. You can also choose to take optional mathematics courses on graphs and networks, and discrete mathematics.
You will also study other subjects in years 1 and 2: see Flexible degrees.
Year 3
Core courses:
- 3H: Analysis of Differentiation and Integration
- 3H: Metric Space and Basic Topology
- 3H: Mathematical Methods
- 3H: Writing and Presenting Mathematics
- 3H: Methods in Complex Analysis
- 3H: Algebra
- 3H: Mechanics of Rigid and Deformable Bodies
- 3H: Dynamical Systems
Year 4
If you progress to Honours, you will study a wide range of topics.
The Applied Mathematics courses allow students who prefer the practical and applicable aspects of the subject to concentrate on these elements. The Pure Mathematics courses are ideal for students who prefer the abstract and logical aspects of the subject. Most students take a mix of both.
In fourth year you will have the opportunity to specialise in your area of choice and undertake a project carried out under one-to-one supervision.
There is also an opportunity to take an MSci degree over five years, which explores mathematics topics in greater depth and includes an individually supervised research project.
Programme alteration or discontinuation
The University of Glasgow endeavours to run all programmes as advertised. In exceptional
circumstances, however, the University may withdraw or alter a programme. For more information,
please see: Student contract.
Our international links
You will have the opportunity to study abroad at one of our partner universities as part of your degree. This won’t add any extra time to your studies: see Study abroad.
Entry requirements
for entry in 2025
You should refer to the entry requirements for both subjects and the degree award when applying for a joint honours degree programme. The higher entry requirement (where applicable) and additional requirements must be met for both subjects.
Summary of entry requirements for Mathematics
SQA Higher entry requirements
- BBBB is the minimum requirement from S5 to be reviewed for an S6 offer
- Offers are not guaranteed to applicants who meet the minimum from S5
- Typically offers will be made at AAAAA by end of S6. B at Advanced Higher is equivalent to A at Higher
- Additional requirements:
BSc: Higher Mathematics and a Higher Science subject at AA
MA/MA (SocSci): Higher Mathematics and a Higher Humanities subject at AA.
SQA Higher adjusted entry requirements* (by end of S5 or S6)
- MD20: BBBB (also other target groups*)
- MD40: AABB* (minimum requirement of ABB in S5)
- Additional requirements:
BSc: Higher Mathematics and a Higher Science subject
MA: Higher Mathematics and a Higher Humanities subject.
Successful completion of Top-Up or one of our Summer Schools.
* See Access Glasgow for eligibility.
A-level standard entry requirements
- AAB – BBB
- Additional requirements:
BSc: A-level Mathematics.
MA: A-level Mathematics and A-level Humanities subject.
IB standard entry requirements
- 34 (6,5,5)
- Additional requirements:
BSc: HL Mathematics (Analysis & Approaches).
MA: HL Mathematics (Analysis & Approaches) and HL Humanities subject.
Faster route entry requirements for Mathematics
SQA Higher faster route entry requirements
- Advanced Highers – AAA including Mathematics and 1 Science subject attained in one exam year and at the first attempt.
Applicants must also meet the standard offer threshold with S5 grades to be considered for faster route.
A-level faster route entry requirement
- Three A-levels at A*AA including Mathematics and Further Mathematics attained in one exam year and at the first attempt.
IB faster route entry requirements
- 38 points with three Higher Level subjects at 6,6,6 including Mathematics and 1 Science subject attained in one exam year and at the first attempt.
Admissions guidance
Glasgow International College
International students with academic qualifications below those required should contact our partner institution, Glasgow International College, who offer a range of foundation certificates.
English language
For applicants whose first language is not English, the University sets a minimum English Language proficiency level.
English language requirements
International English Language Testing System (IELTS) Academic and Academic Online (not General Training)
- 6.5 with no subtests under 6.0
- IELTS One Skill Retake Accepted
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
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Common equivalent English language qualifications for entry to this programme
TOEFL (ibt, mybest or athome)
- 90 overall with Reading 20; Listening 19; Speaking 19; Writing 21
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements, this includes TOEFL mybest.
Pearsons PTE Academic
- 59 with minimum 59 in all subtests
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
Cambridge Proficiency in English (CPE) and Cambridge Advanced English (CAE)
- 176 overall, no subtest less than 169
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
Oxford English Test
- 7 overall with no subtest less than 6
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
LanguageCert Academic SELT
- 70 overall with no subtest less than 60
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
Password Skills Plus
- 6.5 overall with no subtest less than 6.0
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
Trinity College Tests
- Integrated Skills in English II & III & IV: ISEII Distinction with Distinction in all sub-tests
- Tests must have been taken within 2 years 5 months of start date. Applicants must meet the overall and subtest requirements using a single test.
University of Glasgow Pre-sessional courses
- Tests are accepted for 2 years following date of successful completion.
School Qualifications
- IGCSE English First Language, grade C
- IGCSE English Second Language, grade A
- A Level English, grade C
- International Baccalaureate English A SL5 or HL5
- International Baccalaureate English B SL6 or HL5
- SQA National 5 English or ESOL, grade B
- SQA Higher English or ESOL, grade C
International School Qualifications
- Brunei: O-Level English Language 1120 grade B and above
- Denmark: Studentereksamen English at 7
- European Baccalaureate: English as Language 1 pass, if taken as Language 2 grade 7, if taken as Language 3 grade 7.5
- Finland: Ylioppilastutkinto / studentexamen English grade C or 4
- France: International Option Baccalaureate (OIB) / Baccalauréat Français International (BFI) grade 12
- Gambia, Ghana, Liberia, Nigeria, Sierra Leone: West African Examination Council (WAEC) / Senior Secondary School Certificate English grade C6
- Germany: German Abitur English Grade 11
- Hong Kong: Hong Kong Diploma of Secondary Education, English Language grade 4
- India: Central Board of Secondary Education (CBSE) / All India School Certificate (ISC) English at 80%
- Kenya: Kenya Certificate of Secondary Education (KCSE) English grade B
- Netherlands: Voorbereidend Wetenschappelijk Onderwijs (VWO) grade 7
- Norway: Vitnemal English grade 4 or above
- Singapore: Cambridge International O Level English Language (1128 Singapore only) at Grace C; Singapore Integrated Programme Secondary 4 English Language at grade B
- South Africa: National Senior Certificate (NSC) / Independent Exam Board (IEB) Grade 4 (English as Home Language) OR Grade 4 (English as First Additional Language)
- Sweden: Avgangsbetyg / Fullständigt Slutbetyg fran Gymnasieskolan English grade VG
- Zimbabwe: Zimbabwe General Certificate of Education at English at Ordinary Level grade C
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Alternatives to English Language qualification
- Degree from majority-English speaking country (as defined by the UKVI including Canada if taught in English)
- students must have studied for a minimum of 2 years at Undergraduate level, or 9 months at Master's level, and must have completed their degree in that majority-English speaking country within the last 6 years.
- Undergraduate 2+2 degrees from majority-English speaking country (as defined by the UKVI including Canada if taught in English)
- students must have completed their final two years study in that majority-English speaking country within the last 6 years.
For international students, the Home Office has confirmed that the University can choose to use these tests to make its own assessment of English language ability for visa applications to degree level programmes. The University is also able to accept UKVI approved Secure English Language Tests (SELT) but we do not require a specific UKVI SELT for degree level programmes. We therefore still accept any of the English tests listed for admission to this programme.
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Pre-sessional courses
We would strongly encourage you to consider the pre-sessional courses at the University of Glasgow's English for Academic Study (EAS) Unit. Our Pre-sessional courses are the best way to bring your English up to entry level for University study. Our courses give you:
- direct entry to your University programme for successful students (no need to take IELTS)
- essential academic skills to help you study effectively at University
- flexible entry dates so you can join the right course for your level.
For more detail on our pre-sessional courses please see:
We can also consider the pre-sessional courses accredited by the below BALEAP approved institutions to meet the language requirements for admission to our postgraduate taught degrees:
- Heriot Watt
- Kingston Upon Thames
- Middlesex University
- Manchester University
- Reading University
- Edinburgh University
- St Andrews University
- UCL
- Durham
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FAQs
What do I do if...
my language qualifications are below the requirements?
The University's School of Modern Languages and Cultures offers a range of Pre-sessional courses to bring you up to entry level. The course is accredited by BALEAP, the UK professional association for academic English teaching.
my language qualifications are not listed here?
Please contact External Relations
If you require a Tier 4 student visa, your qualification must be one of the secure English language tests accepted by UK Border Agency:
- UK Border Agency Tier 4 English Language requirements
- UKBA list of approved English language tests [pdf]
Visa requirements and proof of English language level
It is a visa requirement to provide information on your level of English based on an internationally recognised and secure English language test. All test reports must be no more than 2 years old. A list of these can be found on the UK Border Agency website. If you have never taken one of these tests before, you can get an initial idea of your level by using the Common European Framework self-assessment grid which gives you a level for each skill (e.g. listening B1/writing B2 etc.) However, please note that this is not a secure English language test and it is not sufficient evidence of your level of English for visa requirements.
Further information about English language: School of Modern Languages & Cultures: English for Academic Study
Career prospects
Many of our graduates go on to careers in the financial services sector or computing, or undertake postgraduate study. Others are employed in industry, using the modelling and problem-solving skills gained on the programme. Our recent graduates have been employed by:
- PwC
- Grant Thornton
- Alexander Sloan
- Cigna
- Deloitte
- Royal Bank of Scotland
- Credit Suisse.
Accreditation
Our programmes are accredited by the Institute of Mathematics & Its Applications.
Degrees and UCAS codes
Which degree should I choose for Mathematics?
Mathematics is offered as four different types of honours degrees: BSc/MSci, MA and MA (SocSci), with the MA (SocSci) available only for combined degrees. The Mathematics courses within these degrees are identical but the programme structure includes a selection of other subjects in years 1 and 2, which vary according to the degree. There are small differences in entry requirements between the degrees as well. This means that you should choose your degree according to the context in which you plan to study Mathematics and the subjects that you have studied previously. Here is some guidance.
Bachelor of Science/Master in Science (BSc/MSci)
These options are intended for students who have a background in Science. The BSc is a 4-year degree and the MSci is a 5-year degree, which is specifically aimed at students intending on further research study. The first year of all degree programmes comprises Mathematics and two other subjects, which are typically drawn from Science: often Physics, Statistics, Computing Science, Astronomy or Chemistry. This is the most common choice of degree, and students can proceed after year two with either a single or combined honours degree in Mathematics.
Master of Arts in Social Science (MA SocSci)
This option is intended for students who have a background in Social Sciences and are interested in a 4-year combined honours degree with Mathematics: for example Business & Management/Mathematics or Economics/Mathematics.
Master of Arts (MA)
This option is intended for students who have a background in Arts subjects such as English, History or languages.
The first year comprises Mathematics and two Arts courses, such as English Language and Philosophy. Students can proceed after year two with either a single or combined honours degree in Mathematics.
When applying you will need to know the UCAS code for the subject or subject-combination that you wish to apply to:
BSc (Hons)
MA (Hons)
MSci
MA(SocSci) (Hons)
Fees and funding
Tuition fees
How and when you pay tuition fees depends on where you’re from: see Tuition fees for details.
Scholarships
The University is committed to supporting students and rewarding academic excellence. That's why we've invested more than £1m in additional scholarship funding in recent years.
University of Glasgow/Glasgow International College University Degree Progressi
The University of Glasgow has a number of University Degree Progression Scholarships available to international students progressing directly from Glasgow International College (GIC) to register on a full-time Undergraduate degree at the University of Glasgow in Academic Year 2025/26.
World Changers Global Excellence Scholarship
The University of Glasgow has a number of World Changers Global Excellence Scholarships available to new International and EU students for 2025 entry. The scholarship is awarded as a tuition fee discount of £7,000 per year of study and is subject to satisfactory progress for consecutive years of study.
World Changers Glasgow Scholarship UG (EU)
The University of Glasgow continues to be committed to ensuring a strong relationship with our existing and future EU students, and supporting EU talent to make their home at the University of Glasgow.
We appreciate the challenging financial implications that have arisen for our European applicants, and are therefore delighted to offer the World Changers Glasgow Scholarship UG (EU) to new incoming EU students starting an undergraduate programme for Academic Session 2025-26. The scholarship is awarded as a tuition fee discount of £5,000 for every year of study and is subject to satisfactory progress for consecutive years of study. This discount cannot be combined with another University scholarship.
Applicants that completed a Study Abroad year, Exchange programme or International Summer School at the University of Glasgow and therefore eligible for the Alumni discount could be granted the EU Welcome Award as well.
World Changers RUK Excellence Scholarship
The RUK Excellence Scholarship of £1,000 for each year of study will be awarded to first degree new entrants who have attained academic excellence in one sitting at A Level (or equivalent).
World Changers RUK Access Bursary
The bursary supports talented students who may not be able to take their place at University for reasons of financial hardship. It is available to new entrant full-time, undergraduate students of the University of Glasgow who are fully registered for the up coming academic session, ordinarily domiciled in England, Wales or Northern Ireland and paying annual tuition fees of £9,250 per annum.
James McCune Smith Undergraduate Scholarship
The University of Glasgow has up to 30 undergraduate scholarships available for students of African/African-Caribbean backgrounds. The scholarship supports students who could face financial difficulties taking up their place to study at the university. The value of the scholarship is £2,000, paid in instalments for year one of undergraduate study. The scholarship is open to new applicants to the university for 2025 entry. Current students who have previously been in receipt of the award may reapply, however, preference will be given to applicants entering their first year of study.
Republic of Ireland (RoI) Excellence Scholarship
The RoI Excellence Scholarship of £1,000 for each year of study will be awarded to first degree entrants who have attained at Irish Higher grades H1, H1, H1, H2, H2 from the Irish Leaving Certificate for 2023 entry. Dentistry, Medicine and Veterinary Medicine applicants are not eligible for this award.
Payments
- The RoI Excellence Scholarship will be processed as a cash payment.
- The RoI Excellence Scholarship will be paid in 2 instalments.
- The first payment will be in October and the second payment will be in February.
These payments will be credited to the UK bank account held on your MyCampus profile; therefore, it is vital that this is up to date at the start of the session. By submitting your bank details on the MyCampus system, you are confirming that you agree with the terms and conditions of the award.
Please see here for further information and eligibility criteria for 2024 entry.
Care Experienced and Estranged Student Bursary
The University of Glasgow is offering five bursaries specifically for Care Experienced and Estranged Students. These bursaries aim to support students who have been in care or are living independently due to family estrangement. Definitions of these terms are provided below, and further details are available here.
Care Experienced
"Care-experienced" refers to anyone who has ever been in care, regardless of the duration. This includes individuals who have been in the care of a local authority at any stage, whether through residential care, foster care, kinship care, or under a supervision requirement at home. This category also includes those who have been adopted from care.
Estranged
Estranged students are young people studying independently without family support due to a breakdown in family relationships. These students often have limited or no contact with their families, and any contact that does occur is usually infrequent or strained. Causes of estrangement may include emotional or physical abuse, conflicting family expectations, personality clashes, or differing values.
Each bursary is typically valued at £1,500 per year for each consecutive year of the degree programme.
Beaconhouse Schools
The University of Glasgow offer a 15% discount on the first year of tuition fee to students from Beaconhouse Schools and who enrol on an undergraduate programme at the University of Glasgow. The discount does not apply to Veterinary Medicine, Medicine and Dentistry programmes.
Republic of Ireland (RoI) Access Bursary
Glasgow has a long and proud tradition of providing financial support to talented students who, for reasons of financial hardship, might not be able to take a place at university. Our RoI Access Bursary is part of our commitment to continue to attract and support students from a diverse range of backgrounds.
Payments of the RoI Access Bursary will be detailed in your Award Letter.
- The RoI Access Bursary will be awarded as a cash payment.
- The RoI Access Bursary will be paid in 10 instalments from October until July; this award is based on household income
- The RoI Access Bursary will only be awarded in years where tuition fees of £9,250 apply
Please see here for up to date information and criteria for 2024 entry.
Undergraduate Talent Scholarships
The University of Glasgow is awarding c.50 undergraduate Talent Scholarships to support students who could face financial difficulties in taking up their place to study at the University for 2025 entry. The value of each scholarship is typically £1,500 p.a. for each year of the degree programme, subject to satisfactory progress. Talent Scholarships are available to students entering any of the University's Colleges.
Dental School students are eligible for a Talent Scholarship in their first year of study only. They are eligible for the NHS Dental Student Support Grant in the following years.
Cowrie Foundation Scholarship
The University of Glasgow and The Cowrie Scholarship Foundation (CSF) will offer a scholarship to support Black African and Caribbean heritage applicants from socio-economically challenged backgrounds. Applicants must be ordinarily resident in the UK and commencing an undergraduate study programme.
The Cowrie Scholarship Foundation wants to fund 100 Black British students through UK universities in the next decade. More information on the Foundation can be found here.
Sanctuary Scholarships
The University of Glasgow is offering up to 30 Sanctuary Scholarships for applicants to the University, who have been forced to travel to the UK for humanitarian reasons and are facing challenges in progressing onto Higher Education. The scholarship is open to prospective undergraduate and postgraduate taught students at the University of Glasgow applying for entry in September 2025/26. Please note that you must have applied to the University before submitting an application for this scholarship.
The scholarship will meet the cost of tuition fees for the duration of your programme, for applicants who are unable to access mainstream funding through Student Awards Agency Scotland (SAAS) or Student Finance. The Sanctuary Scholarship also provides a £5,000 per year stipend, to assist with study costs. In addition, if the eligibility criteria for university accommodation is met, this will also be provided for the duration of your degree, if required. For more information on the accommodation criteria, please see the Accommodation Services section on the website.
Undergraduate students with refugee status (or equivalent) and access to funding, are eligible to apply for the scholarship and would receive the £5,000 stipend towards study costs only, if successful.
Postgraduate Taught Masters students with refugee status (or equivalent) and access to funding, are eligible to apply for the scholarship and would receive the £5,000 stipend towards study costs and a partial tuition fee waiver, to cover any shortfall not met by your Postgraduate Masters tuition fee loan.
The Dima Alhaj Scholarship
The Dima Alhaj Scholarship was set up in 2024 in memory of a University of Glasgow alumna. After graduating, Dima worked in Gaza with the World Health Organization as a patient administrator at the limb reconstruction centre, as part of the trauma and emergency team and was tragically killed in Gaza in November 2023. The Scholarship is open to a Palestinian National who is living in or has been forced to leave the State of Palestine due to humanitarian reasons. The chosen applicant may be domiciled in any country but must be a Palestinian National. The scholarship is open to prospective undergraduate and postgraduate taught applicants to the University of Glasgow applying for entry in September 2025/26.
The Clan Gregor Society Prize
The Clan Gregor Society is offering an award to new entrants to the University of Glasgow who descend from Clan Gregor. Prospective students will be asked to submit an application highlighting areas of consideration such as academic excellence and financial need. The award is open to both Undergraduate and Postgraduate applicants for 2024 entry.
The scholarships above are specific to this programme. For more funding opportunities search the scholarships database
How to apply
Full-time students must apply through the Universities & Colleges Admissions Service (UCAS).
SQA applicants who are eligible for our Widening Participation programmes are encouraged to participate in one or more of these programmes, including Summer School, to support your application and the transition to higher education.
International students to Arts, Engineering, Law, Nursing, Science, and Social Sciences can also apply using The Common Application: however, if applying to more than one UK university, we recommend using UCAS. Applications to Dentistry, Education, Medicine, and Veterinary Medicine must be made through UCAS.
Application deadlines
- 15 October: if including Dentistry, Medicine, Veterinary Medicine or also applying to Oxford or Cambridge
- 29 January: all other UK applicants (unless otherwise stated on the UCAS website)
- 30 June: international students.
We do not usually accept any applications after these deadlines.
It's your responsibility to ensure the accuracy of your application before submission. Requests to correct application content, change degree programme or change college of entry, will not be accepted after these deadlines. This policy is in place to ensure fairness and consistency to all applicants, and no exceptions will be made.
- Apply at www.ucas.com or through your school or college
- Contact UCAS on 0871 468 0468
- Apply at commonapp.org (international students to certain areas only)
ATAS: Academic Technology Approval Scheme
Please note that this programmes in this subject at Masters level require ATAS. If yours is not one of the exempt nationalities, then you will need to apply for an ATAS certificate before commencing your programme of study and applying for your visa or extension of stay.
Please apply as early as possible as the process can take a number of months to complete.
The Academic Technology Approval Scheme (ATAS) was introduced on 1 November 2007. It is used to help stop the spread of knowledge and skills that could be used in the proliferation of weapons of mass destruction (WMD) and their means of delivery. This is in common with other governments around the world.
The ATAS is designed to ensure that people who are applying to study certain sensitive subjects in the UK do not have links to WMD programmes.
- more information about the scheme and ATAS certificate (UK Government website).
Subject league tables
Times & Sunday Times Good University Guide [Mathematics]