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MSc Mathematical Sciences

Deepen your mathematical knowledge and move towards cutting-edge research under the guidance of world-leading experts

Year of entry: 2025 (September)

Length

1 year full-time

Start date

September 2025 (semester dates)

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This course will develop your mathematical knowledge through a range of modules concentrated on one of our research specialisms in algebra, number theory, geometry and analysis, mathematical physics and mathematical biology. It will provide a bridge to world-class research in one of these areas. 

It combines both traditional mathematics subjects with advanced courses that will prepare you for an array of numerate and analytical professions to be found at the core of the digital economy as well as prepare you for a PhD or other research paths.

As part of the Department of Mathematics at York, you will join our friendly and welcoming community. You'll benefit from high-quality teaching by expert staff, who are engaged in world-leading research in many areas of mathematics.

Course content

You choose a route through this degree which concentrates either on pure mathematics or, within the mathematics of the natural sciences, on mathematical physics or mathematical biology. In each, you'll take modules which prepare you for research, aligned with our research groups. You'll also have the opportunity to take modules outside your route to broaden the scope of your study.

The single route in Pure Mathematics centres on algebra and number theory with additional material in geometry and analysis.

In Applied Mathematics we offer two routes, one in mathematical physics and another in mathematical biology. There is overlap in areas such as partial differential equations and current hot topics which bridge the natural sciences, such as soft matter.

You'll undertake both a preparatory project and a dissertation in specialised subjects of your choice, with the aim of taking your research skills and understanding towards the frontiers of knowledge, with support and supervision from a dedicated member of staff. 

 

Modules

Core modules

Option modules

You will study five option modules from one of three pathways. Example modules can be found below. Some option module combinations may not be possible. The options available to you will be confirmed after you begin your course.

Pure Mathematics Pathway
Mathematical Physics Pathway
Mathematical Biology Pathway

Our modules may change to reflect the latest academic thinking and expertise of our staff, and in line with Department/School academic planning.

Dissertation

You will complete a preparatory project and a dissertation. You'll have a supervisor with expertise in your chosen field of research.

The York approach

Every course at York is built on a distinctive set of learning outcomes. These will give you a clear understanding of what you will be able to accomplish at the end of the course and help you explain what you can offer employers. Our academics identify the knowledge, skills, and experiences you'll need upon graduation and then design the course to get you there.

Students who complete this course will be able to:

  • Use, with a high level of sophistication and accuracy, the language of mathematics and mathematical techniques that underpin a wide range of research in, and applications to, science, technology and industry.
  • Recognise and critically evaluate appropriate advanced mathematical methods in order to find a suitable strategy for solving unfamiliar problems open to mathematical investigation and solve such problems.
  • Use logical reasoning as a basis for the critical analysis of ideas or statements in advanced mathematics, and develop independently their own ideas using well-founded reasoning.
  • Conduct a study of a specialised area of mathematics which takes into account recent mathematical progress. They will be able to compare multiple sources, including research articles, to inform this study and be able to check or complete technical details from these sources independently.
  • Communicate advanced mathematical ideas clearly, both in writing and in a presentation, at a level appropriate for the intended audience.
  • Confidently use tools in information technology for a range of appropriate tasks, such as typesetting and literature review.

Fees and funding

Annual tuition fees for 2025/26

Study modeUK (home)International and EU
Full-time (1 year) £11,200£25,900

Students on a Student Visa are not currently permitted to study part-time at York.

Fees information

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.

Find out more information about tuition fees and how to pay them.

Funding information

Discover your funding options to help with tuition fees and living costs.

We'll confirm more funding opportunities for students joining us in 2025/26 throughout the year.

If you've successfully completed an undergraduate degree at York you could be eligible for a 10% Masters fee discount.

Funding opportunities

Chevening Scholarships

We are pleased to work with Chevening Scholars to offer funding for our Masters programmes. Chevening Scholarships provide one year of fully-funded postgraduate study in the UK for international (including EU) students. The scholarships are open to early and mid-career professionals who have the potential to become future leaders.

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 format

We use a wide range of teaching methods to suit different learning styles including: 

  • Lectures (both online and on campus)
  • Problems classes
  • Seminars

Lectures are used to describe new concepts you will have to learn and problems classes put them into practice. Seminars are small, interactive sessions which allow us to focus on your individual needs. As part of the online lectures, you will also be able to access a wide range of short videos discussing topics covered in your lectures. These bite-sized clips will come with a set of notes to help reinforce your knowledge on the given topic.

While you're working on your project and your dissertation you'll have regular meetings with an academic supervisor who can offer advice and support. We aim to give you a supervisor with specialist knowledge of the area you're investigating.

Teaching location

You will be based in the Department of Mathematics in James College on Campus West. Most of your small group teaching will take place in the Department's dedicated MSc seminar room (the Dusa McDuff room), with larger classes taking place close by in James College, Derwent College and elsewhere on Campus West.

About our campus

Our beautiful green campus offers a student-friendly setting in which to live and study, within easy reach of the action in the city centre. It's easy to get around campus - everything is within walking or pedalling distance, or you can always use the fast and frequent bus service.

Assessment and feedback

For the majority of taught modules, assignments are set every fortnight. These assignments will help you develop your skills and identify areas for improvement. You'll receive verbal and written feedback during seminars, when you'll have a chance to discuss your work.

Most modules' final assessments take the form of closed exams. You'll be able to see past papers ahead of each exam which will give you an idea of the topics which may be covered and the level of complexity involved. 

You'll also be assessed on presentations, project reports and your final dissertation.

A maths student thinking
Professor Reidun Twarock supervising a student

Careers and skills

The skills you develop on this course are in high demand in advanced careers that rely on logic and problem solving. It's also ideal preparation if you want to take your studies to a higher level.

Career opportunities

  • Quantitative financial analyst
  • Data analyst
  • Credit risk manager
  • Statistician
  • Software developer

Transferable skills

  • Confidence with high-level mathematics
  • Logical thinking
  • Analysis of problems
  • Problem-solving
  • Time management
  • Communication skills
  • Research skills

Entry requirements

Typical offer
Undergraduate degree 2:2 or equivalent in Mathematics or in a subject with a substantial mathematics component.
Other international qualifications Equivalent qualifications from your country

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, minimum 5.5 in each component
Cambridge CEFR B2 First: 169, with no less than 162 in each component
Oxford ELLT 6, minimum of 5 in each component
Duolingo 105, minimum 95 in all other components
LanguageCert SELT B2 with 33/50 in each component
LanguageCert Academic 65 with a minimum of 60 in each component
Kaplan Test of English Language 426-458, with 396-425 in all other components
Skills for English B2: Pass with Merit overall, with Pass in each component
PTE Academic 55, minimum 51 in each component
TOEFL 79, minimum 17 in Listening, 18 in Reading, 20 in Speaking and 17 in Writing
Trinity ISE III Pass in all components

For more information see our postgraduate English language requirements.

If you haven't 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.

Applying

You can apply and send all your documentation online. You don’t need to complete your application all at once: you can start it, save it and finish it later.

Personal statement

In your personal statement, please tell us which of the three routes (Pure Mathematics, Mathematical Physics or Mathematical Biology) you'd like to follow. You should also state how the subjects you have studied previously relate to the modules you want to study on this course.

Apply for this course

Next steps

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Department of Mathematics

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