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.
- Standard entry grades:
- AAAAB, including A in Mathematics.
- Minimum entry grades:
- AAAB, including A in Mathematics.
- Standard entry grades:
- A*A*A, including A* in Mathematics.
- Minimum entry grades:
- A*AB, including A* in Mathematics.
- 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.
SQA National 5 (B) in English and one SQA National 5 (B) from the following:
- Computing science
- Lifeskills Mathematics (A grade)
GCSE (5) in English language or English literature, and one GCSE (5) from the following:
- Computing Science
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.
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.
Direct entry to second year
Well-qualified school leavers are able to apply for direct entry to second year of this course. There is also the option to switch to direct entry on arrival at St Andrews.
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.
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.
The MMath (Hons) in Mathematics is a five-year Integrated Masters course run by the School of Mathematics and Statistics. The course offers advanced study of mathematics at postgraduate level during your final years, 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 specialised study at Honours level.
Alongside Mathematics, in the first year of your studies you will be required to study up to two additional subjects. From second year onwards, you will take only 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 specialised topics. Subject areas may include:
- abstract analysis
- fluid dynamics
- group theory
- history of mathematics
- mathematical biology
- statistical ecology
- statistical inference.
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.
In the first two years of your degree (known as sub-honours) 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 and fourth year (known as Honours).
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':
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:
- Bayesian Inference
- Dynamical Systems
- Fractal Geometry
- Solar Theory
- Techniques of Applied Mathematics
As an MMath student, you will also be able to take Masters-level modules. In the past, these have included:
- Advanced Data Analysis
- Advanced Group Theory
- Ergodic Theory and Dynamical Systems
- Estimating Animal Abundance and Biodiversity
- Galois Theory
- Geophysical Fluid Dynamics
- Mathematical Biology.
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 in previous years:
- Mathematics and Statistics 3000-level modules 2021-22 (PDF)
- Mathematics and Statistics 4000-level modules 2021-22 (PDF)
- Mathematics and Statistics 5000-level modules 2021-22 (PDF)
In your final year, you also undertake an advanced project on a topic chosen in consultation with the teaching staff of 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 compulsory modules listed here must be taken in order to graduate in this subject. However, most students at St Andrews take additional modules, either in their primary subject or from other subjects they are interested in. For Honours level, students choose from a range of Honours modules, some of which are listed above. A full list of all modules appropriate to the programme for the current academic year can be found in the programme requirements.
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 and fourth 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:
- preparing coursework assignments
- working on individual and group projects
- undertaking research in the library
- 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. Please note that some Schools offer qualified entry to Honours, and this will be clearly specified in the 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.
Tuition fees have yet to be set.
England, Wales, Northern Ireland and Republic of Ireland
Channel Islands, Isle of Man
EU and overseas
More information on tuition fees can be found on the undergraduate fees and funding page.
Find out about accommodation fees for University accommodation.
Funding and scholarships
Joint Honours degrees
You can also take Mathematics as part of a joint Honours degree in which you will take core modules of your chosen subjects.
|Course name||UCAS code|
|Bachelor of Science (Honours) Biology and Mathematics||CG11|
|Bachelor of Science (Honours) Chemistry and Mathematics||FG11|
|Bachelor of Science (Honours) Computer Science and Mathematics||GG14|
|Bachelor of Science (Honours) Economics and Mathematics||GLC1|
|Bachelor of Science (Honours) Financial Economics and Mathematics||L114|
|Bachelor of Science (Honours) Geography and Mathematics||GF18|
|Bachelor of Science (Honours) Mathematics and Philosophy||GV14|
|Bachelor of Science (Honours) Mathematics and Physics||FG31|
|Bachelor of Science (Honours) Mathematics and Psychology (BPS Recognition Route)||GC18|
|Master in Physics (Honours) Mathematics and Theoretical Physics||FGH1|
|Master of Arts (Honours) Ancient History and Mathematics||GVC1|
|Master of Arts (Honours) Arabic and Mathematics||GT16|
|Master of Arts (Honours) Arabic and Mathematics (With Integrated Year Abroad)||TV78|
|Master of Arts (Honours) Art History and Mathematics||GV13|
|Master of Arts (Honours) Biblical Studies and Mathematics||VG61|
|Master of Arts (Honours) Classical Studies and Mathematics||QG81|
|Master of Arts (Honours) Economics and Mathematics||GL11|
|Master of Arts (Honours) English and Mathematics||Q3G1|
|Master of Arts (Honours) Financial Economics and Mathematics||L113|
|Master of Arts (Honours) German and Mathematics||R2G1|
|Master of Arts (Honours) German and Mathematics (With Integrated Year Abroad)||GR21|
|Master of Arts (Honours) Hebrew and Mathematics||GQ14|
|Master of Arts (Honours) International Relations and Mathematics||LG21|
|Master of Arts (Honours) Italian and Mathematics||GR13|
|Master of Arts (Honours) Italian and Mathematics (With Integrated Year Abroad)||RG31|
|Master of Arts (Honours) Latin and Mathematics||GQ16|
|Master of Arts (Honours) Mathematics and Medieval History||GV11|
|Master of Arts (Honours) Mathematics and Modern History||GVD1|
|Master of Arts (Honours) Mathematics and Philosophy||GV15|
|Master of Arts (Honours) Mathematics and Psychology (BPS Recognition Route)||CG81|
|Master of Arts (Honours) Mathematics and Russian||GR17|
|Master of Arts (Honours) Mathematics and Russian (With Integrated Year Abroad)||RG71|
|Master of Arts (Honours) Mathematics and Scottish History||GV12|
|Master of Arts (Honours) Mathematics and Spanish||GR14|
|Master of Arts (Honours) Mathematics and Spanish (With Integrated Year Abroad)||GRC4|
|Master of Arts (Honours) Mathematics and Theological Studies||GV16|
You can take Mathematics as part of a "with" Honours degree in which the majority of the course deals with the first name subject. St Andrews offers the following "with" degrees in Mathematics:
- Bachelor of Science (Honours) Mathematics with Geography - UCAS code G1F8
- Master in Chemistry (Honours) Chemistry with Mathematics - UCAS code F1G1
- Master of Arts (Honours) Mathematics with Russian (With Integrated Year Abroad) - UCAS code G1R9
- Master of Arts (Honours) Mathematics with Russian - UCAS code G1RT
- Master of Arts (Honours) Mathematics with Spanish (With Integrated Year Abroad) - UCAS code G1RX
- Master of Arts (Honours) Mathematics with Spanish - UCAS code G1RL
"With" degrees taken with Russian or Spanish are also available 'With Integrated Year Abroad'.
Normally, for joint degree programmes, the subject with the higher entry requirements determines the grades you need. However, the Chemistry with Mathematics MChem joint degree programme has different entry requirements.
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 such as:
- technology firms or computer consultancies
- financial services organisations (for example, Goldman Sachs, KPMG, and PwC)
- insurance companies
- merchant banks
- the civil service
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
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.
We encourage all students who are thinking of applying to the University to attend one of our online or in-person visiting days.
- +44 (0)1334 46 3744
- School of Mathematics and Statistics
Discover Uni provides official statistics about higher education courses taken from national surveys and data collected from universities and colleges about all their students. You can use this data to compare information for different degree programmes to help you make a decision about what and where to study.