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MMath (Hons) Mathematics

Explore the research frontier

Year of entry: 2023/24

UCAS code


Institution code



4 years full-time

Typical offer

AAA-AAB (full entry requirements)

Start date

September 2023(semester dates)

UK (home) fees

£9,250 per year

International and EU fees

£21,950 per year

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for 'learning resources' in Mathematics

of the Russell Group universities included in the 2022 National Student Survey

for 'assessment and feedback' and 'academic support' in Mathematics

of the Russell Group universities included in the 2022 National Student Survey

We designed our four-year MMath degree programme for those who want to follow careers in industry or research.

You'll learn about more topics in depth, and even approach the cutting edge of research in your final year of study.

You can choose to add a year in industry to your course, giving you an opportunity to apply your learning in the real world, and develop skills and experience that will help you secure your first graduate job.


This course is accredited by the Institute of Mathematics and its Applications (IMA). Successfully completing your degree fulfils part of the educational requirement for chartered status.

Outstanding research

100% of departmental research rated the highest 3* and 4* in the Times Higher Education's ranking of the latest REF results (2021)

Dedicated study space

A productive environment, equipped with blackboards, for individual and group projects, as well as events led by our student-run Maths Society.

14th in the UK

for Mathematics (Complete University Guide 2023)

University of the Year shortlisted

We're proud to announce that we've been shortlisted for two prestigious University of the Year awards.

  • Times Higher Education Awards 2021
  • The Times and Sunday Times Good University Guide 2022

Find out more about our nominations

Course content

You'll study a mixture of core and option modules. As you progress through your course you'll have more flexibility to study the topics which interest you.

Option modules are grouped into pathways, which lead to more advanced modules in subsequent years. You don't have to take modules from just one pathway, and in some cases you will need to select from more than one.

  • Pure Mathematics develops abstract concepts and techniques in analysis, algebra, geometry and number theory.
  • Applied Mathematics and Mathematical Physics focuses on mathematics inspired by problems arising in the natural sciences.
  • Probability, Statistics and Mathematical Finance applies maths to the analysis of data and the modelling of random processes such as can occur in financial markets.

The first two years of the BSc Mathematics, BSc Mathematics (with a year in Europe) and MMath Mathematics are identical. You can switch between courses after you begin your studies, subject to satisfactory academic progress.

Optional placement year

The MMath year in industry slots in between your third and fourth year of study. If you don't take a year in industry, you'll continue straight into the final year of your degree.

A year working in industry or a research institute gives you the opportunity to develop skills relevant to your degree. You'll put what you've learned so far into practice, and gain experience that will give you a competitive advantage when looking for your first graduate job.

Placements are competitive and applying for one will be like applying for a job. Our placement coordinator will help you find opportunities, but you will be responsible for securing your placement. We will give you advice and support with CVs, cover letters and application forms, and help you practise interview techniques.

You don't need to commit to a year in industry before you begin your studies. You can apply to transfer in your second year, subject to satisfactory academic progress.

We also offer this course with a year abroad.

Study abroad

There are opportunities for you to spend time abroad during your course:

Year 1

In Year 1, you'll study a number of core modules which will give you a firm foundation across all areas of mathematics. They provide a platform for specialisation later in the degree.

Core modules

Academic integrity module

In addition to the above you will also need to complete our online Academic Integrity module.

Year 2

In Year 2, your time will be shared between core modules, and option modules in two of three possible specialisms.

Core modules

  • Vector & Complex Calculus
  • Linear Algebra

Option modules

You will also study four option modules. In previous years, options have covered topics such as:

  • Pure Mathematics stream (Metric Spaces; Groups, Rings & Fields)
  • Applied Mathematics stream (Classical Dynamics; Quantum & Continuum Dynamics)
  • Probability and Statistics stream (Probability & Markov Chains; Statistical Inference & Linear Models)

The options available to you will be confirmed later this year. For further information please get in touch.

Year 3

During the third year of your degree you'll work on a group project and develop your teamwork skills. Alongside the project, you will choose additional option modules.

Core module

Option modules

The specialisms you choose during your second year will affect which options are open to you. You will take four option modules  concerning areas of mathematics which coincide with the Department's research interests. The precise nature of these modules may change, but the topics currently include:

Pure Mathematics: Algebraic Number Theory, Cryptography, Differential Geometry, Formal Languages and Automata, Galois Theory, Groups and Actions, Lebesgue Measure and Integration, Metric Spaces, Number Theory, Topology

Applied Mathematics and Mathematical Physics: Complex and Asymptotic Methods, Classical and Biological Fluid Dynamics, Dynamical Systems, Electromagnetism and Relativity, Fundamentals of Fluid Dynamics, Mathematical Ecology and Epidemiology, Modelling with MATLAB, Numerical Analysis, Partial Differential Equations, Quantum Information, Quantum Mechanics

Statistics and Mathematical Finance: Bayesian Statistics, Generalised Linear Models, Linear Optimisation and Game Theory, Mathematical Finance, Multivariate Analysis, Practical Data Science with R, Statistical Pattern Recognition, Stochastic Processes, Survival Analysis, Time Series

The options available to you will be confirmed later this year. For further information please get in touch.

Year 4

The main focus of your final year is your individual project. You'll investigate a mathematical topic independently, and present a clear account of your findings.

You'll also take option modules. Our wide range of choices includes a directed learning module, which gives you the opportunity to explore a topic of your choice, with guidance from a member of staff.

Core module

Option modules

You will also study four option modules. In previous years, options have covered topics such as:

Directed learning
  • Directed Learning 
Pure Mathematics
  • Algebraic Geometry 
  • Analytic Number Theory 
  • Hilbert Spaces 
  • Lie Algebras and Lie Groups 
  • Metric Number Theory 
  • Semigroup Theory 
  • Algebraic Groups 
  • Functional Analysis 
  • Representation Theory of the Classical Groups 
  • Riemannian Geometry 
  • Algebraic Topology 
Applied Mathematics and Mathematical Physics
  • Complex and Asymptotic Methods 
  • General Relativity 
  • Modelling with MATLAB 
  • Partial Differential Equations I 
  • Quantum Field Theory 
  • Soft Matter in Physics and Biology 
  • Advanced General Relativity 
  • Advanced Quantum Field Theory
  • Applications of Group Theory in Virology 
  • Classical and Biological Fluid Dynamics 
  • Mathematical Ecology and Epidemiology 
  • Partial Differential Equations II 
  • Quantum Information 

The options available to you will be confirmed later this year. For further information please get in touch.

Our modules may change to reflect the latest academic thinking and expertise of our staff.
Our course structures are changing in September 2023. Find out more about how this course may be affected.

Learning by design

Every course at York has been designed to provide clear and ambitious learning outcomes. These learning outcomes give you an understanding of what you will be able to do at the end of the course. We develop each course by designing modules that grow your abilities towards the learning outcomes and help you to explain what you can offer to employers. Find out more about our approach to teaching and learning.

Students who complete this course will be able to:

  • Use, with a high level of confidence and sophistication, the mathematical language and tools that underpin a wide range of research in, and applications to, science, technology and industry.
  • Recognise when an unfamiliar problem is open to mathematical investigation, and be able to formulate their own strategy for the process of such an investigation.
  • Use logical reasoning as a basis for the critical analysis of ideas or statements which have a mathematical context, and develop independently their own ideas using well-founded reasoning.
  • Conduct, both independently and as part of a group of peers, a study of a specialised area of mathematics which takes into account recent mathematical progress. They will be able to compare and synthesise multiple sources to produce this study, and be able to check or complete technical details from these sources independently.
  • Communicate advanced mathematical ideas clearly, in writing and in a presentation, at a level appropriate for the intended audience.
  • Create mathematical documents, presentations and computer programmes by accurately and efficiently using a range of digital technologies.




Fees and funding

Annual tuition fees

UK (home) International and EU
£9,250 £21,950

UK (home) or international fees?

The level of fee that you will be asked to pay depends on whether you're classed as a UK (home) or international student. Check your fee status.

Fees for subsequent years

  • UK (home) fees may increase within the government fee cap in subsequent academic years. We will notify you of any increase as soon as we can.
  • International fees are subject to increase in subsequent years in line with the prevailing Consumer Price Index (CPI) inflation rate (up to a maximum of 10%).

More information

For more information about tuition fees, any reduced fees for study abroad and work placement years, scholarships, tuition fee loans, maintenance loans and living costs see undergraduate fees and funding.


We'll confirm more funding opportunities for students joining us in 2023/24 throughout the year.

Living costs

You can use our living costs guide to help plan your budget. It covers additional costs that are not included in your tuition fee such as expenses for accommodation and study materials.

Teaching and assessment

You'll work with world‐leading academics who’ll challenge you to think independently and excel in all that you do. Our approach to teaching will provide you with the knowledge, opportunities, and support you need to grow and succeed in a global workplace.

Teaching and assessment methods

Careers and skills

A degree in mathematics helps you to harness the logic and problem solving skills needed to communicate complex ideas. These skills will be invaluable in whichever career path you choose to take.

Careers opportunities and transferable skills

Entry requirements

Typical offer
A levels
  • AAA including A in Mathematics
  • AAB including A in Mathematics and A in Further Mathematics
  • AAB including A in Mathematics and A in Further Mathematics at AS level
Cambridge Pre-U D3, D3, D3 including Mathematics
European Baccalaureate 85% overall, with 85% in Mathematics
International Baccalaureate 36 points overall, including 6 in Mathematics at Higher Level
T levels We are currently not accepting T Levels for this course unless an additional A Level (or equivalent qualification) in Mathematics has been taken.
International foundation programme Foundation Certificate from our International Pathway College or an appropriate alternative.
Other international qualifications Equivalent qualifications from your country

Alternative offers

Meeting the following additional criteria may qualify you for an alternative offer.

Criteria Adjustment
Widening participation If you successfully complete one of the following programmes, you may be eligible for an alternative offer up to three A level grades (or equivalent) below our typical offer: Black Access Programme, Next Step York, Realising Opportunities, YESS. More about widening participation.
Contextual offers If you have experience of local authority care or live in an area with low progression to university, you may be eligible for an alternative offer up to two A level grades (or equivalent) below our typical offer. More about contextual offers.
EPQ We recognise the value of this qualification although it will not be included as a condition of entry. It may be taken into consideration when you receive your results.

English language

If English isn't your first language you may need to provide evidence of your English language ability. We accept the following qualifications:

Minimum requirement
IELTS (Academic and Indicator) 6.0 with a minimum of 5.5 in each component
C1 Advanced and C2 Proficiency 169, with a minimum of 162 in each component
Duolingo 100 overall, with a minimum of 90 in each component
GCSE/IGCSE/O level English Language (as a first or second language) Grade C
LanguageCert International ESOL SELT B2 Communicator High Pass with a minimum score of 33/50 in each component
PTE Academic 55, with a minimum of 51 in each component
TOEFL 79 overall, with a minimum of 17 in Listening, 18 in Reading, 20 in Speaking, 17 in Writing
Trinity ISE III Pass in all components

For more information see our undergraduate English language requirements.

If you've not met our English language requirements

You may be eligible for one of our pre-sessional English language courses. These courses will provide you with the level of English needed to meet the conditions of your offer.

The length of course you need to take depends on your current English language test scores and how much you need to improve to reach our English language requirements.

After you've accepted your offer to study at York, we'll confirm which pre-sessional course you should apply to via You@York.


To apply to York, you will need to complete an online application via UCAS (the Universities and Colleges Admissions Service).

If we make you an offer, we'll invite you to visit the Department between November and April. You can meet our current students and staff, and have a one-to-one conversation with a member of academic staff.

We will offer you an interview if you present with a strong school performance and application. The interview is not part of your offer and you do not need to attend, but if you do, your offer could be reduced by one A level grade (or equivalent).

Next steps

Contact us

Get in touch if you have any questions

Dr Kasia Rejzner, Dr Graeme Wilkin and Heather Cork

Learn more

Department of Mathematics

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