Mathematics MMath Honours

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Course overview

Our accredited Mathematics MMath degree includes an extra year for your integrated Master's.

In Stage 4 you’ll work on a research project in applied mathematics or pure mathematics. During this stage, you’ll also study more advanced modules and draw on the research expertise of our staff.

All our mathematics and statistics degrees focus on three core areas:

• pure mathematics
• applied mathematics
• statistics

You’ll have the flexibility to choose the area you’d like to focus on, or even transfer between our mathematics and statistics degrees.

Download information about this course as a PDF

Your course and study experience - disclaimers and terms and conditions  
Please rest assured we make all reasonable efforts to provide you with the programmes, services and facilities described. However, it may be necessary to make changes due to significant disruption, for example in response to Covid-19.

View our Academic experience page, which gives information about your Newcastle University study experience for the academic year 2024-25.

See our terms and conditions and student complaints information, which gives details of circumstances that may lead to changes to programmes, modules or University services.

Additional information

Flexible degree structure

You’ll study a common set of core modules for the first two years on these degrees:

• Mathematics BSc
• Mathematics MMath
• Mathematics and Statistics BSc

This means you’ll have the flexibility to transfer between these degrees until the end of your second year. To qualify for Stages 3 and 4 of the MMath degree, you should have an upper-second-class average mark in Stages 2 and 3.

Quality and ranking

Professional accreditation and recognition

All professional accreditations are reviewed regularly by their professional body.

Modules and learning

Modules

The information below is intended to provide an example of what you will study.

Most degrees are divided into stages. Each stage lasts for one academic year, and you'll complete modules totalling 120 credits by the end of each stage. 

Our teaching is informed by research. Course content may change periodically to reflect developments in the discipline, the requirements of external bodies and partners, and student feedback.

Optional module availability
Student demand for optional modules may affect availability.

Full details of the modules on offer will be published through the Programme Regulations and Specifications ahead of each academic year. This usually happens in May.

To find out more please see our terms and conditions

You’ll take a set of core modules that are common across our mathematics and statistics degrees. Learn about the key skills and knowledge that all mathematicians and statisticians need. We’ll also cover the main areas of pure mathematics, applied mathematics, algebra, probability and statistics.

Modules

Compulsory Modules	Credits
Introductory Algebra	20
Introductory Calculus and Differential Equations	20
Multivariable Calculus	10
Real Analysis	10
Introduction to Probability and Statistics	20
Logic, Sets and Counting	10
Number Systems	10
Problem Solving with Python	10
Dynamics	10

You'll continue to study a set of core modules that are common across our mathematics and statistics degrees. You’ll learn about more advanced techniques and build on what you’ve learnt in Stage 1.

Modules

Compulsory Modules	Credits
Linear Algebra	10
Complex Analysis	10
Algebra	10
Groups and Discrete Mathematics	10
Vector Calculus	10
Differential Equations, Transforms and Waves	10
Fluid Dynamics I	10
Scientific Computation with Python	10
Introduction to Statistical Inference	10
Introduction to Regression and Stochastic Modelling	10
Introduction to Bayesian methods	10
Computational Probability and Statistics with R	10

In this year, you can choose from a wide range of optional modules. These are closely linked to the research expertise of our staff.

You’ll also work on a group project in applied mathematics, pure mathematics, statistics or education.

Modules

Compulsory Modules	Credits
Group Project	10

Optional Modules	Credits
Global Education in Mathematics and Statistics	10
Foundations of group theory	10
Linear analysis	10
Coding Theory	10
Matrix analysis	10
Metric Spaces and Topology	10
Number Theory and Cryptography	20
Representation theory	10
Curves and Surfaces	10
Methods for Differential Equations	10
Quantum Mechanics	10
Fluid Dynamics II	10
Relativity and Fundamental Particles	10
Electromagnetism	10
Partial Differential Equations	10
Hydrodynamic and Climate Instabilities	10
Variational Methods and Lagrangian Dynamics	10
Mathematical Biology	10
Bayesian Inference	10
Linear Models	10
Stochastic Financial Modelling	10
Statistical Inference	10
Generalized Linear Models	10
Big Data Analytics	10
Stochastic Processes	10
Topics in Statistical Modelling A	20
Career Development for final year students	20

This is your integrated Master’s year.

During this year, your MMath project will take up a third of your time. This will be an in-depth study in an area of applied mathematics or pure mathematics.

Modules

Compulsory Modules	Credits
MMath Project and Research Skills	60

MMath Project and Research Skills (60 credits)

Optional Modules	Credits
Foundations of group theory	10
Linear analysis	10
Coding Theory	10
Matrix analysis	10
Metric Spaces and Topology	10
Number Theory & Cryptography	20
Representation theory	10
Curves and Surfaces	10
Measure Theory	10
Lie Groups and Lie Algebras	20
Functional Analysis	10
Relativity and Fundamental Particles	10
Hydrodynamic and Climate Instabilities	10
Variational Methods and Lagrangian Dynamics	10
General Relativity	20
Quantum Fluids	20
Mathematical Biology	10
Topics in Statistical Modelling B	20
Computational Statistics	20
Advanced Topics in Statistics A	10
Advanced Topics in Statistics B	10

Information about these graphs

We base these figures and graphs on the most up-to-date information available to us. They are based on the modules chosen by our students in 2023-24.

Teaching time is made up of:

• scheduled learning and teaching activities. These are timetabled activities with a member of staff present.
• structured guided learning. These are activities developed by staff to support engagement with module learning. Students or groups of students undertake these activities without direct staff participation or supervision

Teaching and assessment

Teaching methods

You'll be taught through:

• lectures
• problem classes
• tutorials and drop-in sessions
• practical computer classes and computer-based assessments
• data collection and analysis

Assessment methods

You'll be assessed through a combination of:

• 

  Assignments – written or fieldwork

• 

  Examinations – practical or online

Skills and experience

Business skills

Throughout your degree, you'll develop a range of transferable skills, such as:

• analytical writing
• report writing
• presentation skills

You can also work on an optional industry project or take a work placement. These opportunities are very flexible. They’re arranged throughout the academic year, during the summer period or with students taking a break from academic studies.

Projects with industry can prepare you for a career both outside and within academia, learning vital new skills and gaining new experiences.

Research skills

In Stage 4 you'll work on an extended research project, developing and enhancing your research skills.

Opportunities

Study abroad year

Experience life in another country by choosing to study abroad as part of your degree. You’ll be encouraged to embrace fun and challenging experiences, make connections with new communities and graduate as a globally aware professional, ready for your future.

You can choose to spend up to a year studying at a partner institution overseas. Our overseas partner institutions include:

• Universiteit Leiden, Netherlands
• L-Universta ta' Malta, Malta
• Universitat Politècnica de Catalunya, Barcelona
• Technisches Universitat Munchen, Munich

There are also lots of options in North America, Australia and Asia, including:

• Buffalo, New York State
• McGill, Montreal
• University of New South Wales, Sydney
• Hong Kong
• Singapore

During your time studying abroad, you will select from a range of modules offered by your host university. Alongside taking some subject-relevant modules, you will be given greater flexibility to choose modules from different disciplines (eg Languages, Business)

If you choose to study abroad, it will extend your degree by a year.

Short-term global opportunities

During your degree, you can take part in short-term global opportunities in countries such as:

• USA
• Cyprus
• Hong Kong
• Singapore
• Sri Lanka

The activities range from four days to eight+ weeks, and include:

• summer schools
• internships
• volunteering
• experiential learning

Funding is available to support students who want to participate.

Work placement

Get career-ready with a work placement and leave as a confident professional in your field. You can choose to spend 9 to 12 months working in any organisation in the world, and receive University support from our dedicated team to secure your dream placement. Work placements take place between stages 3 and 4.

You'll gain first-hand experience of working in the sector, putting your learning into practice and developing your professional expertise.

If you choose to take a work placement, it will extend your degree by a year. Work placement is not available if you're spending a year abroad. Placements are subject to availability.

Find out more about work placements

Facilities and environment

Facilities

You'll join the School of Mathematics, Statistics and Physics based in the Herschel Building.

A state-of-the-art learning environment will support your studies and you'll have access to extensive IT facilities for teaching and self-study, including:

• computer-based exercises with instant review of model solutions
• problem-solving video tutorials
• recording system for video capture of lectures, which you can download and watch again to help with your revision

The Herschel Building also has dedicated study and social spaces, and a computing area.

Support

We take your health and wellbeing seriously and are committed to supporting you throughout your studies so you can fulfil your potential at university. This support includes:

• a personal tutor who is an academic member of staff who can help you with academic and personal issues throughout your degree
• a peer mentor scheme which pairs you with a current student from your course to help you navigate your first year at university
• a student-staff committee, to give you an opportunity to have a say in how your degree works
• a dedicated School of Mathematics, Statistics and Physics-based Student Wellbeing Advisor who can offer comprehensive listening and support and signpost you to other University support services or external support agencies

Transition Officer

A dedicated staff member is here to support you in transitioning from school to university study.

The Transition Officer works with Stage 1 undergraduates to provide:

• Stage 1 pastoral and academic support
• attendance and academic performance monitoring
• Stage 1 induction
• weekly drop-ins

You'll also benefit from our:

• induction programme, including social events, to help you settle in quickly
• activities and events run by our student-run society, MathSoc
• homework classes to help with assignments

Your future

Join a network of successful graduates

Recent graduates have secured roles such as:

• information analyst
• programmer
• actuarial analyst
• auditor
• automated software tester
• software engineer
• CRM data analyst
• data engineer
• data scientist
• financing accountant

Careers for mathematicians and statisticians

Mathematicians and statisticians have always been highly valued by employers for their analytical and problem-solving skills, and their ability to think logically and quantitatively.

These skills are in increasing demand beyond the traditional sectors of finance, with industries such as technology, healthcare, artificial intelligence, cybersecurity, data science, and engineering actively seeking mathematical expertise to drive innovation and decision-making.

Businesses have ever increasing volumes of data available and this data needs to be analysed and modelled. Our recent graduates are putting their mathematical skills into practice in sectors such as:

• utilities
• defence
• advanced manufacturing
• transportation
• energy
• sports analytics
• health economics

Maths graduates are also highly sought-after for roles in teaching.

You'll also develop key skills which are essential for the employment market such as communication, teamwork, planning, and organisation.

Benefit from strong industry links

You'll also benefit from our well-established links. Our industrial advisory board members and research colleagues influence and inform our curriculum and include representatives from businesses such as:

• Nissan
• Northern Gas networks
• Office for National Statistics
• Centre for Life
• Met Office
• Department for Environment, Food and Rural Affairs (DEFRA)
• Drager Safety
• Enzen Global
• PTV Group
• USGS

Make a difference

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Careers support

Our award-winning Careers Service is one of the largest and best in the country, and we have strong links with employers. We provide an extensive range of opportunities to all students through our ncl+ initiative.

Visit our Careers Service website

Recognition of professional qualifications outside of the UK

From 1 January 2021 there is an update to the way professional qualifications are recognised by countries outside of the UK

Tuition fees and scholarships

Tuition fees for academic year 2025-2026

See our ‘Home Fee Students’ and ‘International Fee Students’ information below for more information on tuition fee levels, fee status and inflationary fee increases.

Qualification: MMath Honours
Home students full time 4 years	Tuition fees (Year 1) £9,535
International students full time 4 years	Tuition fees (Year 1) 25600

Home Fee Students

Home students starting in 2025 entry

Tuition fees are payable for each year of your course. £9,535 is the maximum fee that we are permitted to charge for home fee-paying students for the academic year 2025-26. This is set by the UK government.

As a general principle, you should expect the tuition fee to increase in each subsequent academic year of your course, subject to government regulations on fee increases and in line with inflation.

Read more about fees and funding

International Fee Students

Depending on your residency history, if you’re a student from the EU, other EEA or a Swiss national, with settled or pre-settled status under the EU Settlement Scheme, you’ll normally pay the ‘Home’ tuition fee rate and may be eligible for Student Finance England support.

EU students without settled or pre-settled status will normally be charged fees at the ‘International’ rate and will not be eligible for Student Finance England support.

If you are unsure of your fee status, check out the latest guidance here.

As a general principle, you should expect the tuition fee to increase in each subsequent academic year of your course, subject to government regulations on fee increases and in line with inflation.

Read more about fees and funding

Scholarships

We support our EU and international students by providing a generous range of Vice-Chancellor's automatic and merit-based scholarships. See our undergraduate scholarship page for more information.

Year abroad and additional costs

For programmes where you can spend a year on a work placement or studying abroad, you will receive a significant fee reduction for that year. 

Some of our degrees involve additional costs which are not covered by your tuition fees.

Scholarships

Find out more about:

• scholarships for UK, EU and international students
• Student Loans and Government financial support for UK and EU students

How to apply

Apply through UCAS

To apply for undergraduate study at Newcastle University, you must use the online application system managed by the Universities and Colleges Admissions Service (UCAS). All UK schools and colleges, and a small number of EU and international establishments, are registered with UCAS. You will need:

• the UCAS name and institution codes for Newcastle University (NEWC/N21)
• the UCAS code for the course you want to apply for
• the UCAS 'buzzword' for your school or college

If you are applying independently, or are applying from a school or college which is not registered to manage applications, you will still use the Apply system. You will not need a buzzword.

Apply through UCAS

Apply through an agent

International students often apply to us through an agent. Have a look at our recommended agents and get in touch with them.

Visit our International pages