“I am interested in pure mathematics and especially algebra and combinatorics but came with a limited knowledge and so I love being taught by experts in those areas. The positive atmosphere as well as the approachable teaching style is something that has helped me immensely in my studies and has boosted my enjoyment for my subject even further.”
- Athens, Greece
Entry requirements
The University offers different entry requirements, depending on your background. Find out more about Standard and Minimum entry requirements using academic entry explained and see which entry requirements you need to look at using the entry requirements indicator.
For degrees combining more than one subject, the subject with the higher entry requirements determines the grades you need. You will also need to meet any further subject-specific entry requirements as outlined on their pages.
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- Standard entry grades:
- AAAAB, including A in Mathematics.
- Minimum entry grades:
- AAAB, including A in Mathematics.
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- Standard entry grades:
- A*A*A, including A* in Mathematics.
- Minimum entry grades:
- A*AB, including A* in Mathematics.
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- Standard entry grades:
- 38 (HL 6,6,6), including HL6 in Mathematics.
- Minimum entry grades:
- 36 (HL 6,5,5), including HL6 in Mathematics.
General entry requirements
All applicants must have attained the following qualifications, or equivalent, in addition to the specific entry requirements for individual programmes.
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SQA National 5 (B) in English and one SQA National 5 (B) from the following:
- Biology
- Chemistry
- Computing science
- Geography
- Applications of Mathematics
- Mathematics
- Physics
- Psychology.
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GCSE (5) in English language or English literature, and one GCSE (5) from the following:
- Biology
- Chemistry
- Computing Science
- Geography
- Mathematics
- Physics
- Psychology.
Other qualifications
We accept a wide range of qualifications for entry on to our programmes. Please see our entry requirements for more information.
More information on how to apply via other entry routes or accreditation of prior learning and experience can be found on the University’s entry requirements web page.
Do I need to have studied this subject before?
Yes, applicants are expected to have studied Mathematics at SQA Higher, GCE A-Level, or equivalent. Typical successful applicants will have studied Mathematics at SQA Advanced Higher, Further Mathematics at GCE A-level, or equivalent.
Alternative study options
Students interested in this course may also be interested in the following:
BSc and MA
Students on this programme may apply to change to the BSc at any point during their sub-honours years or third year of study.
Students can also take Mathematics as a standard four-year BSc or MA degree.
Direct entry to second year
Well-qualified school leavers are able to apply for direct entry to second year of this course.
Study abroad
Mathematics students can apply to participate in the University-wide St Andrews Abroad programme. For information about study abroad options, please see the study abroad site.
International applicants
If English is not your first language, you will need to provide an English language test score to evidence your English language ability. Find out more about approved English language tests and scores for this course.
Course details
The MMath (Hons) in Pure Mathematics is a five-year Integrated Masters course run by the School of Mathematics and Statistics. The course offers advanced study of Pure Mathematics at postgraduate level during your final year, allowing you to graduate with a Masters degree.
In the first two years, you will develop and reinforce your basic mathematical skills and refresh familiar material (for example, complex numbers, matrices, vectors, differential equations) in preparation for more specialist study at Honours level.
Alongside Mathematics, in the first year of your studies you will be required to study up to two additional subjects. In the second year, students only take Mathematics modules. Find out more about how academic years are organised.
At Honours and Masters level, students may select modules from a range of options on advanced and specialist specific topics. Specialist subject areas may include:
- fractal geometry
- Galois theory
- group theory
- measure and ergodic theory
Final-year students must also undertake an advanced project on a topic chosen in consultation with teaching staff at the School of Mathematics and Statistics.
The University of St Andrews operates on a flexible modular degree system by which degrees are obtained through the accumulation of credits. More information on the structure of the modules system can be found on the flexible degree structure web page.
Modules
In the first year of your degree, you will take the required modules in Mathematics alongside modules in at least one other subject.
Typically, you will take a total of three or four modules per semester during your first two years, and four modules per semester during your third, fourth and fifth year (known as Honours).
For your convenience, here is a list of more than 80 Mathematics and Statistics modules offered - some available annually, some biannually. See also the details below.
Students will take between one and three first-year modules in mathematics. There is one core compulsory module, 'Mathematics', that can be studied in either semester.
- Mathematics: introduces the ideas and techniques required for further study of mathematics or applications to other sciences.
Students who do not possess at least a B at Advanced Higher or A-Level Mathematics will need to take 'Introductory Mathematics' in their first semester before taking the compulsory 'Mathematics' module. This option is popular for students on different degree routes who wish to study Mathematics.
- Introductory Mathematics: designed for students who do not meet the entry requirements for the first-year 'Mathematics' module. Provides a secure base in elementary calculus.
First-year students can, in addition, take one or both of the optional modules in Pure and Applied Mathematics as well the module 'Statistics in Practice':
Mathematics and Statistics 1000-level modules
Students will take the following compulsory modules in their second year:
- Abstract Algebra: explores the key concepts of modern abstract algebra: groups, rings and fields.
- Analysis: introduces key concepts of real analysis: limit, continuity and differentiation.
- Combinatorics and Probability: introduces counting techniques for finite structures and the behaviour of random variables.
- Linear Mathematics: introduces the theory of vector spaces, linear independence, linear transformations and diagonalisation.
- Mathematical Modelling: investigates the translation of physical problems into mathematics.
- Multivariate Calculus: extends the techniques of calculus in a single variable to the setting of real functions of several variables.
- Statistical Inference: introduces techniques for drawing inferences about population characteristics from observed data.
- Vector Calculus: introduces the theory of scalar and vector fields and associated techniques for the modelling of problems arising in the physical world.
In the final three years, you choose from a wide variety of advanced options. Here is a sample of Honours modules which have been offered in previous years:
- Fractal Geometry
- Graph Theory
- Number Theory
- Topology
As an MMath student, you will also be able to take Masters-level modules. In the past, these have included:
- Advanced Combinatorics
- Advanced Group Theory
- Galois Theory
- Hyperbolic Geometry
- Measure Theory
In your third, fourth and fifth years, you will choose from a range of 3000-level, 4000-level and 5000-level modules.
Here are the modules offered during the current session and in previous years:
- Mathematics and Statistics 3000-level modules
- Mathematics and Statistics 4000-level modules
- Mathematics and Statistics 5000-level modules
In your final year, you also undertake an advanced project on a topic chosen in consultation with the teaching staff at the School of Mathematics and Statistics. You will be required to investigate the topic in some depth, submit a report and give a presentation.
The modules above are examples of what has been taught in previous academic years and may be subject to change before you start your course. Please see the module catalogue for more details of each module, including weekly contact hours, teaching methods and assessment.
Teaching
In first year, teaching for each module centres on a daily lecture (around 100 to 300 students). Each fortnight, you will have one small group tutorial (8 to 12 students) and one examples class (25 to 60 students) where students undertake exercises and discuss each week’s topics.
In second year, each module typically comprises five lectures (around 100 to 300 students), one tutorial (8 to 12 students), and one examples class (25 to 60 students) per fortnight. Half of the modules also feature computer lab sessions (25 to 60 students).
You will develop increasing independence and initiative as you progress through your degree programme so that by third, fourth and fifth year the average teaching load drops to around ten hours of lectures and four tutorials per week, supplemented by private study.
When not attending lectures, tutorials and computer labs, you will be expected to continue learning independently through self-study. Typically, this will involve:
- working on individual and group projects
- undertaking research in the library
- preparing coursework assignments and presentations
- preparing for examinations
Progress is monitored through tutorial assignments, and sub-honours modules are assessed by a balanced combination of coursework and written exams. At Honours level, modules may be assessed by written examination alone or a combination of written examination and coursework.
Examinations are held at the end of each semester during a dedicated exam diet with revision time provided beforehand.
The School aims to provide feedback on every assessment within three weeks to help you improve on future assessments.
Undergraduates at the University of St Andrews must achieve at least 7.0 on the St Andrews 20-point grade scale to pass a module. To gain access to Honours-level modules, students must achieve the relevant requisites as specified in the policy on entry to Honours and in the relevant programme requirements. To find out the classification equivalent of points, please see the common reporting scale.
You will be taught by an experienced teaching team with expertise and knowledge of mathematics. Postgraduate students who have undertaken teacher training may also contribute to the teaching of tutorials, examples classes and computing classes under the supervision of the module leader.
Find contact information for all Mathematics staff on the School of Mathematics and Statistics website.
The University’s Student Services team can help students with additional needs resulting from disabilities, long-term medical conditions or learning disabilities. More information can be found on the students with disabilities web page.
Fees
Scotland
£1,820
England, Wales, Northern Ireland and Republic of Ireland, Channel Islands, Isle of Man
Following the decision of the UK Government to raise undergraduate tuition fees and maintenance loans in line with inflation from April 2025, we are reviewing the consequences of that decision for fees payable by students from the rest of the UK who have chosen to study in Scotland. We will update the information on this page as soon as possible.
EU and overseas
£31,670
More information on tuition fees can be found on the undergraduate fees and funding page.
Accommodation fees
Find out about accommodation fees for University accommodation.
Funding and scholarships
The University of St Andrews offers a number of scholarships and support packages to undergraduate students each year.
Careers
Demand for mathematically trained graduates vastly outstrips the supply, and hence career prospects are excellent in a variety of fields.
Recruiters seek numerate graduates who are literate, think logically, write and present well, and can work with relevant technology – St Andrews degrees develop all of these skills.
A mathematics degree is recognised as a substantial achievement in a demanding discipline.
Around 30% of St Andrews graduates continue on to postgraduate study, either in mathematics or related disciplines such as computer science, finance, or physics.
The majority of the remaining graduates gain employment in areas including:
- technology firms or computer consultancies
- financial services organisations (for example, Goldman Sachs, KPMG, and PwC)
- industry
- insurance companies
- merchant banks
- the civil service
- teaching
The Careers Centre offers one-to-one advice to all students as well as a programme of events to assist students to build their employability skills.
What to do next
Online information events
Join us for one of our information events where you can find out about different levels of study and specific courses we run. There are also sessions available for parents and college counsellors.
Undergraduate visiting days
We encourage all students who are thinking of applying to the University to attend one of our online or in-person visiting days.
Contact us
- Phone
- +44 (0)1334 46 3744
- maths@st-andrews.ac.uk
- Address
- School of Mathematics and Statistics
Mathematical Institute
North Haugh
St Andrews
KY16 9SS
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