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MMath (Hons) Mathematics (with a Year Abroad)

Explore the research frontier

Year of entry: 2023/24

UCAS code


Institution code



4 years full-time

Typical offer

AAA/AAB including A in Mathematics (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.

On this course, you'll spend your third year at one of our continental European partners. You'll experience different language and cultures, preparing you for international careers.


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 outputs 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)

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 abroad) and MMath Mathematicsare identical. You can switch between courses after you begin your studies, subject to satisfactory academic progress.

You'll spend Year 3 at a university abroad, usually in Germany, France or Spain. You'll be taught in the language of the host country. You're encouraged to branch out and explore a wide range of modules. 

Your fourth year will focus on your MMath Group Project, followed by an individual project in your final year.

Study abroad

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


There are opportunities to spend time in industry as part of this 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

Option modules

You'll choose two streams and study both modules in each:

Pure Mathematics stream
Applied Mathematics stream
Probability and Statistics stream

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

Year 3

You'll spend Year 3 at a university abroad, usually in Germany, France or Spain. You'll be taught in the language of the host country. You're encouraged to branch out and explore a wide range of modules. 

Intensive and advanced language courses are sometimes available at your host university. Language courses at York in your first and second years will help you prepare for this.

Our current partner universities.

Year 4

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

You will also study four option modules:

Pure Mathematics streamCommutative Algebra & Algebraic Geometry; Geometric & Analytic Number Theory; Riemannian Geometry; Functional Analysis; Lie Theory; Riemann Surfaces & Algebraic Curves

Applied Mathematics stream: Mathematical Methods in Biophysics; Quantum Field Theory; Partial Differential Equations, Mathematical modelling: nonlinearity, uncertainty, & computational methods; General Relativity; Advanced Mathematical Physics; Mathematical Ecology, Epidemiology & Evolution; Classical and Biological Fluid Dynamics

Statistics and Finance stream: Decision Theory & Bayesian Statistics; Generalised Linear Models; Mathematical Finance in Discrete Time; Mathematical Methods of Finance; Statistical Pattern Recognition; Computational Finance with Python; Interest Rate Modelling; Multivariate Data Analysis; Statistics for Finance & Insurance; Stochastic Calculus & Black-Scholes Theory

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

Year 5

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
Pure Mathematics
Applied Mathematics and Mathematical Physics

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.

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.
  • Have confidence in being able to adapt to the demands of working for an extended period in a foreign country, which may include working in another language and navigating another culture.




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

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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