Mathematics is a vast and ever-growing subject which incorporates successful explorations of numerical, geometrical and logical relationships.
It uses reasoned argument from basic postulates and principles to explain the pattern and structure of the world we observe, to suggest pattern and structure as yet unobserved, and in general, provide tools that can be used to understand and manage the universe in which we live. In Pure Mathematics these postulates often take the form of concepts from geometry or properties of numbers, whereas in Applied Mathematics the postulates typically take the form of laws that can be tested rigorously by experiment.
Mathematics provides practitioners with a sophisticated toolbox for use in the manipulation of information, and the means to impose pattern and structure on that information.
Why study Mathematics?
- Mathematics at the University of Glasgow is ranked 17th in the UK (Complete University Guide 2020)
- 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
You will take a 40-credit course covering matrices, linear equations, probability, complex numbers, vectors and calculus. You will develop mathematical communication skills through regular small group problem-solving activities.
- 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 number theory.
You will also study other subjects in years 1 and 2: see Flexible degrees.
- 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
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.
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.
for entry in 2021
Applicants to subject-combinations with Psychology must meet the Psychology degree programme entry requirements.
Summary of entry requirements for Mathematics
SQA Higher Entry Requirements
- BBBB at S5 will be considered. Typically S6 entrants will have AAAAA at Higher. B at Advanced Higher is equivalent to A at Higher.
- BSc: Higher Mathematics and a Higher Science subject.
MA: Higher Mathematics and a Higher Humanities subject.
SQA Higher Adjusted Entry Requirements* (by end of S6)
- AABB – BBBB
- 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.
A-level Standard Entry Requirements
- AAB – BBB
- BSc: A-level Mathematics.
MA: A-level Mathematics and A-level Humanities subject.
IB Standard Entry Requirements
- 36 (6, 6, 5 HL) – 32 (6, 5, 5 HL)
- BSc: HL Mathematics.
- MA: HL Mathematics and HL Humanities subject.
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.
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 module (not General Training):
- overall score 6.5
- no sub-test less than 6.0
- or equivalent scores in another recognised qualification (see below)
Common equivalent English language qualifications:
- ibTOEFL*: 90; no sub-test less than: Reading: 20; Listening: 19; Speaking: 19; Writing: 23
- CAE (Cambridge Certificate of Advanced English): 176 overall: no sub-test less than 169
- CPE (Cambridge Certificate of Proficiency in English): 176 overall: no sub-test less than 169
- PTE Academic (Pearson Test of English, Academic test): 60; no sub-test less than 59
- IGCSE: English as a First Language (0500/0522): C in Reading and Writing, plus 1 in Listening, 2 in Speaking, where applicable. All four components (listening, writing, speaking, reading) must be examined and detailed on results slip
- IGCSE: English as a Second Language (0510/0511): A in Reading and Writing, plus A in Listening, 2/B in Speaking, where applicable. All four components (listening, writing, speaking, reading) must be examined and detailed on results slip
- Trinity College London Integrated Skills in English: ISEII at Distinction with Distinction in all sub-tests
* Please note that TOEFL is still acceptable for admission to this programme for both home/EU and international students.
For international students, the Home Office has confirmed that the University can choose to use TOEFL to make its own assessment of English language ability for visa applications to degree level courses. We therefore still accept TOEFL tests taken in the last two years for admission to this programme.
The University of Glasgow accepts evidence of the required language level from the English for Academic Study Unit Pre-sessional courses. We also consider other BALEAP accredited pre-sessional courses:
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; see Links.
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.
For further information about English language, please see School of Modern Languages and Cultures: English for Academic Study.
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:
- Grant Thornton
- Alexander Sloan
- Royal Bank of Scotland
- Credit Suisse
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:
Fees and funding
How and when you pay tuition fees depends on where you’re from: see Tuition fees for details.
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 Achievement Award
In conjunction with GIC we are pleased to reward our best-performing students who finish the Foundation course with excellent grades and attendance. This is awarded as a tuition fee discount of £3,000 per year of study and is subject to satisfactory progress for consecutive years of study.
College of Science and Engineering Deans' Award
The College of Science and Engineering is offering ten scholarships worth £10,000 each towards tuition fees for academically excellent students wishing to study an Undergraduate or Postgraduate Taught programme within the College’s programme portfolio.
Undergraduate Excellence Scholarship
The University of Glasgow has a number of Undergraduate Excellence Scholarships available to new International and EU students for 2021 entry. The scholarship is awarded as a tuition fee discount of £5,000 per year of study and is subject to satisfactory progress for consecutive years of study.
RUK Access Bursary
The bursary supports talented students who might not be able to take a 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 Session 2021/22, as being domiciled in England, Wales and Northern Ireland and paying annual tuition fees of £9,250 per annum.
RUK Excellence Scholarship
The RUK Excellence Scholarship of £1,000 for each year of study will be awarded to first degree entrants who have attained AAA or better in one sitting at A Level (or equivalent).
James McCune Smith Scholarship
The University of Glasgow has 30 undergraduate scholarships available for students Black, Asian and Minority Ethnic (BAME) students. 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 the first year of undergraduate study. The scholarship is open to new applicants to the University. 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.
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.
Undergraduate Talent Scholarships
The University of Glasgow awards c.50 undergraduate Talent Scholarships each academic year to support students who could face financial difficulties in taking up their place to study at the University. 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.
The University of Glasgow is offering four scholarships (one per college) for applicants to the University who are staying in the UK on humanitarian grounds and are facing challenges in progressing onto Higher Education. The scholarship is open to prospective undergraduate and postgraduate taught students of the University of Glasgow applying for entry in 2021/22. The scholarship meets the full cost of tuition fees for the duration of your programme as well providing an additional £5,000 per year stipend, if the eligibility criteria for university accommodation is met this will also be provided for the duration of your degree. For more information on the accommodation criteria, please see the Accommodation Services section on the website.
We are also offering eight scholarships to students who hold refugee status. This scholarship is awarded as a £2,500 stipend towards study costs, per year of study.
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).
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.
- 15 October: if including Dentistry, Medicine, Veterinary Medicine or also applying to Oxford or Cambridge
- 15 January: all other UK/EU applicants (unless otherwise stated on the UCAS website)
- 30 June: international (non-EU) 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 you require a visa to study in the UK then you will need to apply for an ATAS certificate before applying for your visa or extension of stay, allowing at least four weeks (20 working days) in order to obtain it.
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 (Foreign & Commonwealth Office website).
How to apply for Advanced Entry
Apply for year 2 (Y2) on your UCAS application. If the specific subject is unavailable for Advanced Entry or your application for year 2 entry is unsuccessful, you will be automatically considered for year 1 entry. You do not have to submit a separate UCAS application.
BSc students in work / study
Subject league tables
UK top 15: Times & Sunday Times Good University Guide [Mathematics]