Mathematics and Physics BSc

Course overview

Discover how the universe works to gain skills that unlock sought-after careers

Mathematics and physics are the fundamental languages through which we understand the universe. In this course, you’ll combine abstract reasoning with physical insight, learning at the intersection of theory, computation and real-world application.

Physics is the most fundamental of the sciences, explaining how the world works and enabling technological innovations. Mathematics, the language of science, plays a similarly vital role. From advancing artificial intelligence and generating valuable insights from data to developing new medical treatments, physicists and mathematicians are in high demand across business and industry.

You’ll develop a deep understanding of the mathematical structures that underpin modern physics while exploring how physical principles inspire and inform mathematical ideas. You’ll build strong analytical, problem-solving and computational skills, including experience in coding and data analysis. All these are skills that are highly valued by a wide range of employers in science, technology, data-driven industries and finance, as well as postgraduate study.

Why study at Leeds:

• Two outstanding research environments: You’ll learn from academics in one of the UK’s largest mathematics departments and a globally recognised physics research community, with teaching shaped by cutting-edge research.

• Integrated maths and physics training: Both subjects are taught in close connection, helping you develop a coherent and transferable skillset.

• Shape your degree: Choose from a wide range of modules to suit your interests.

• Strong computational focus: Programming and computational methods are embedded throughout the course, reflecting their central role in modern businesses and your future career.

• Prepare for your future: Your final-year research project helps you develop skills in demand by employers and gain valuable experience before you graduate by taking an industrial placement or studying.

Course details and modules

This course gives you the flexibility to tailor your learning to your interests as they develop. Compulsory Year 1 modules provide a strong shared foundation, followed by optional modules in Year 2 and 3 that allow you to shape the direction of your degree and begin specialising. Academic staff and personal tutors will support you in making informed choices, helping you select modules that align with your academic strengths, interests and career ambitions.

You’ll study 120 credits each year.

Course structure

The list shown below represents typical modules/components studied and may change from time to time. Read more in our terms and conditions.

Year 1

You’ll build a strong foundation in core maths and fundamental physics, alongside developing problem-solving and programming skills.

Compulsory modules

Mathematical Physics 1 - 60 credits
This is an integrated introduction to the core areas of physics, building a solid foundation for future years of study. Topics include mechanics, special relativity, vibrations and waves, thermal physics and thermodynamics, quantum physics, solid-state physics, and computational approaches, plus the core skill of coding in Python.

Core Mathematics - 40 credits
Develop key mathematical ideas and techniques, including calculus, linear algebra, functions, vectors and differential equations: the essential language for further study in mathematics and physics.

Probability and Statistics - 20 credits
An introduction to probabilistic reasoning and statistical methods that underpin modern science, data analysis and modelling.

Year 2

In your second year, you’ll deepen your understanding of physics while beginning to specialise through a choice of mathematics modules.

Compulsory modules

Mathematical Physics 2 - 60 credits
This module builds on first-year material, covering topics such as statistical mechanics, quantum mechanics, condensed matter physics, nuclear and particle physics, and electromagnetism. You’ll also develop your professional skills and behaviours and begin career planning.

Investigations in Mathematics - 20 credits
You’ll explore ideas and methods of mathematical research, developing research, communication, computing and problem-solving skills through guided investigations.

Vector Calculus and Partial Differential Equations - 20 credits
Study multivariable calculus and partial differential equations, key tools for modelling physical systems such as fluids, fields and waves.

Optional modules

Alongside your core modules, you’ll choose 20 credits of optional mathematics modules. These modules allow you to strengthen your background in applied mathematics, develop skills in statistics and data analysis, or explore more theoretical or abstract mathematics, such as algebra.

• Mathematical Modelling - 20 credits

• Statistical Methods - 20 credits

• Rings and Polynomials - 10 credits

• Calculus of Variations - 10 credits

• Time Series - 10 credits

Year 3

Your final year offers a high degree of flexibility, letting you tailor your degree towards your interests in a wider range of maths and physics applications.

Compulsory modules

Project - 40 credits
You will undertake a physics or maths research project under the supervision of our academic researchers, developing advanced problem-solving, writing, and presentation skills.

Optional modules

Physics options - select two 20-credit physics modules from a wide range of advanced topics

Cosmology – 20 credits
Explore the origin, structure and evolution of the Universe, from the Big Bang to its large‑scale structure today. You’ll study observational and theoretical cosmology, including cosmic expansion, dark matter, dark energy and the cosmic microwave background.

Molecular Simulation – 20 credits
This module introduces computational techniques for simulating molecular and materials systems. You’ll learn the theory and practice of Monte Carlo and molecular dynamics methods, gaining experience in modelling real physical and biological systems using modern simulation tools.

Advanced Quantum Physics – 20 credits
Develop a deeper understanding of quantum mechanics and how it applies to real physical systems. Topics include perturbation theory, spin and angular momentum, and advanced quantum methods used in atomic, molecular and condensed-matter physics.

Quantum Matter – 20 credits
Study how quantum mechanics gives rise to the collective properties of matter. You’ll explore topics including lattice vibrations, electronic structure, nanoscale systems and introductory superconductivity, with applications to modern materials and technologies.

Magnetism in Condensed Matter – 20 credits
Examine the physical principles underpinning magnetic and ferroic materials. This module explores how microscopic interactions give rise to macroscopic magnetic behaviour, with links to applications in data storage, sensors, and energy technologies.

Advanced Mechanics – 20 credits
Extend your knowledge of classical mechanics using powerful mathematical frameworks, including Lagrangian and Hamiltonian formalisms. You’ll explore symmetry principles, conservation laws and their application to complex mechanical systems.

Bionanophysics – 20 credits
Explore how physical principles apply at the interface of biology and nanoscience. Topics may include biomolecules, membranes, nanoscale forces and experimental techniques used to study biological systems at the molecular level.

Theoretical Elementary Particle Physics – 20 credits
Gain an introduction to the theoretical foundations of particle physics. You’ll study the Standard Model, symmetry principles, relativistic quantum mechanics and techniques such as Feynman diagrams used to describe particle interactions.

Physics in Schools – 20 credits
Focus on the communication and teaching of physics in educational settings. This module develops your ability to explain physical concepts clearly, engage different audiences and understand contemporary issues in physics education.

Group Innovation Project – 20 credits
Work in a team to tackle a real‑world problem through a physics‑based innovation project. You’ll develop project management, teamwork and communication skills while applying your scientific knowledge in a practical, interdisciplinary context.

Mathematics options - You’ll choose two 20 credit mathematics modules.

Methods of Applied Mathematics – 20 credits
This module develops advanced mathematical techniques for solving problems in mathematical physics. You’ll study methods for ordinary and partial differential equations, with applications to waves, diffusion and other physical systems.

Computational Applied Mathematics – 20 credits
Focus on numerical and computational techniques for solving mathematical problems that can’t be treated analytically. You’ll learn methods such as finite differences, numerical linear algebra and simulation, using computers to model realworld systems.

Actuarial Mathematics – 20 credits
An introduction to the mathematics underpinning insurance and finance. Topics include interest rates, the time value of money, annuities and insurance models, with an emphasis on practical applications and quantitative risk analysis.

Statistical Modelling – 20 credits
Study advanced statistical models used to analyse real data. You’ll explore extensions of linear models, including generalised and non‑linear approaches, and learn how to assess, interpret and apply statistical models in practice.

Numbers and Codes – 20 credits
Explore number theory and coding theory, including primes, modular arithmetic and error‑correcting codes. You’ll see how abstract algebra underpins applications such as cryptography, data transmission and information security.

Fluid Dynamics – 20 credits
Study the mathematics of flowing systems, from ideal fluids to viscous flow. This module develops the governing equations of fluid motion and explores solutions relevant to applications in engineering, geophysics, astrophysics and biology.

Entropy and Quantum Mechanics – 20 credits
Examine the mathematical foundations of entropy and quantum mechanics, and how they explain the behaviour of physical systems. You’ll study probabilistic and statistical ideas that link microscopic dynamics to macroscopic behaviour.

Mathematical Biology – 20 credits
Apply mathematical modelling techniques to biological systems. Topics include population dynamics, biological pattern formation and disease modelling, using differential equations and analytical methods to study living systems.

Multivariate Analysis and Classification – 20 credits
Analyse datasets involving multiple variables, extending classical statistics to higher dimensions. You’ll study techniques like principal component analysis, clustering, and classification, commonly used in data science and applied research.

Mathematics in a Social Context – 20 credits
Explore the role of mathematics within society, culture and history. This module encourages critical reflection on how mathematics interacts with social issues, ethics and human endeavour, broadening your perspective on the subject.

For more information and a list of typical modules available on this course, please read Mathematics and Physics BSc in the course catalogue.

One-year optional work placement or study abroad

During your course, you’ll be given the opportunity to advance your skill set and experience further. You can apply to either undertake a one-year work placement or study abroad for a year, choosing from a selection of universities we’re in partnership with worldwide.

Learning and teaching

You’ll be taught through several different teaching methods, including in-person lectures, workshops, small-group tutorials, and project work, and will be supported by computer-based learning.

In the first two years, our teaching is delivered through interactive in-person lectures, small-group tutorials, and larger workshops, where you’ll develop your problem-solving skills. In your final year, the lecturer will usually support their own specialist material through a combination of lectures and workshops.

Computer programming is an integral part of physics and mathematics, and during the first two years, you'll be taught the programming skills that you need using Python. You’ll also have a chance to engage in independent project work to demonstrate your ability to apply key skills to a research topic.

All students are assigned an academic personal tutor. During year 1, they’ll host your fortnightly tutorials alongside a small group of other students, letting you get to know them well and settle into university study. Your personal tutor is there to offer advice, monitor your progress, and be your first point of contact throughout your years of study.

We also have a peer-assisted learning scheme, where higher-year students meet weekly with first years to support their learning and help them settle into university life.

On this course, you’ll be taught by our expert academics, from lecturers through to professors. You may also be taught by industry professionals with years of experience, as well as trained postgraduate researchers, connecting you to some of the brightest minds on campus.

Assessment

You’ll be assessed using a range of methods, including formal examinations, assignments, coursework, reports, and practical activities. This combination of assessment approaches ensures you develop your understanding while applying your knowledge. The University of Leeds is committed to inclusive assessment that offers all students the opportunity to succeed.

Entry requirements

A-level: AAA - AAB including Physics and a minimum of grade A in Mathematics

AAA/A*AB including Physics and a minimum of grade A in Mathematics

or

AAB/A*BB including Physics and a minimum of grade A in Mathematics plus Further Mathematics

or

AAB/A*BB including Physics and a minimum of grade A in Mathematics, plus an A in AS Further Mathematics.

Where an A Level science subject is taken, we require a pass in the practical science element, alongside the achievement of the A Level at the stated grade.

Extended Project Qualification (EPQ) and International Project Qualification (IPQ): We recognise the value of these qualifications and the effort and enthusiasm that applicants put into them, and where an applicant offers an A in the EPQ or IPQ, we may make an offer of AAB at A-level, including Physics and a minimum of grade A in Mathematics.

GCSE: English Language grade 4 (C) or higher, or an equivalent English language qualification. We will accept Level 2 Functional Skills English instead of GCSE English.

Alternative qualification

Read more about UK and Republic of Ireland accepted qualifications or contact the School’s Undergraduate Admissions Team.

Alternative entry

We’re committed to identifying the best possible applicants, regardless of personal circumstances or background.

Access to Leeds is a contextual admissions scheme which accepts applications from individuals who might be from low income households, in the first generation of their immediate family to apply to higher education, or have had their studies disrupted.

If you live in a neighbourhood where there is low participation in higher education, we may be able to give priority to your application.

Find out more about Access to Leeds and contextual admissions.

We’re committed to identifying the best possible applicants, regardless of personal circumstances or background.

Access to Leeds is a contextual admissions scheme which accepts applications from individuals who might be from low income households, in the first generation of their immediate family to apply to higher education, or have had their studies disrupted.

If you live in a neighbourhood where there is low participation in higher education, we may be able to give priority to your application.

Find out more about Access to Leeds and contextual admissions.

Typical Access to Leeds A Level offer: ABB including Physics and a minimum of grade A in Mathematics and a pass in the Access to Leeds scheme.

Foundation years

If you do not have the formal qualifications for immediate entry to one of our degrees, you may be able to progress through a foundation year. A Foundation Year is the first year of an extended degree. We’ve designed these courses for applicants whose backgrounds mean they are less likely to attend university and who don’t meet the typical entry requirements for an undergraduate degree.

We offer a Studies in Science with Foundation Year BSc for students without science and mathematics qualifications.

You could also study our Interdisciplinary Science with Foundation Year BSc , which is for applicants whose background is less represented at university.

On successful completion of your foundation year, you will be able to progress onto your chosen course.

Alternative Entry Scheme for Mature Students

If you are a mature applicant (over 21) and you don’t have the required A Levels or GCSE English and maths qualifications, you can complete our Alternative Entry Scheme (subject to meeting the eligibility criteria for the scheme). As part of this, you may be asked to take tests in English and maths and to write an essay.

Further information on the support available for mature students can be found at https://www.leeds.ac.uk/mature-students.

International

We accept a range of international equivalent qualifications. For more information, please contact the Admissions Team.

International foundation year

International students who do not meet the academic requirements for undergraduate study may be able to study the University of Leeds International Foundation Year. This gives you the opportunity to study on campus, be taught by University of Leeds academics and progress onto a wide range of Leeds undergraduate courses. Find out more about International Foundation Year programmes.

English language requirements

IELTS 6.0 overall, with no less than 5.5 in any one component.. For other English qualifications, read English language equivalent qualifications.

Improve your English
If you're an international student and you don't meet the English language requirements for this programme, you may be able to study our undergraduate pre-sessional English course, to help improve your English language level.

Fees

UK: £10,050

International: To be confirmed

The amount of tuition fees you pay is based on whether you are classified as a home (UK) or international student. Find out how we assess your fee status.   

Tuition fees for UK students 
Tuition fees for UK undergraduate students starting in 2027/28 are £10,050.  

Subsequent years 
The UK government sets the maximum tuition fee caps that universities can charge UK students. This means your tuition fee in future academic years will reflect any changes set by the government.   

From 2028/29 onwards, tuition fees are likely to increase annually, at least in line with inflation, and may rise further if the government increases the fee cap.   

Tuition fees for international students 
The international fee applies for each year of full-time study and will remain the same for the duration of your course.    

Read more about tuition fees.

Tuition fees for a study abroad or work placement year
If you take a study abroad or work placement year, you’ll pay a reduced tuition fee during this period. For more information, see Study abroad and work placement tuition fees and loans.

Read more about paying fees and charges.

Additional cost information

Whilst there are no compulsory additional costs, it would be helpful to bring your own calculator from the CASIO fx-82, fx-83 or fx-85 range. You’ll have access to all the recommended texts and a vast supply of books and academic journals from the university libraries.

You’ll also have access to the extensive IT facilities on campus including 24/7 computer clusters with everything you need to complete your work.

However, you may wish to purchase your own books and/or computer.

There may be additional costs related to your course or programme of study or related to being a student at the University of Leeds. Read more on our living costs and budgeting page.

There may be additional costs related to your course or programme of study, or related to being a student at the University of Leeds. Read more on our living costs and budgeting page.

Scholarships and financial support

If you have the talent and drive, we want you to be able to study with us, whatever your financial circumstances. There is help for students in the form of loans and non-repayable grants from the University and from the government. Find out more in our Undergraduate funding overview.

Scholarships are also available to help fund your degree. Find out more and check your eligibility below:

• Scholarships for International students
• Scholarships for UK students
• Your subject area may also offer scholarships

Applying

Apply to this course through UCAS. Check the deadline for applications on the UCAS website.

We may consider applications submitted after the deadline. Availability of courses in UCAS Extra will be detailed on UCAS at the appropriate stage in the cycle.

Admissions guidance

Read our admissions guidance about applying and writing your personal statement.

What happens after you’ve applied

You can keep up to date with the progress of your application through UCAS.

UCAS will notify you when we make a decision on your application. If you receive an offer, you can inform us of your decision to accept or decline your place through UCAS.

How long will it take to receive a decision

We typically receive a high number of applications to our courses. For applications submitted by the January UCAS deadline, UCAS asks universities to make decisions by mid-May at the latest.

Offer holder events

If you receive an offer from us, you’ll be invited to an offer holder event. This event is more in-depth than an open day. It gives you the chance to learn more about your course and get your questions answered by academic staff and students. Plus, you can explore our campus, facilities and accommodation.

International applicants

International students apply through UCAS in the same way as UK students.

We recommend that international students apply as early as possible to ensure that they have time to apply for their visa.

Read about visas, immigration and other information.

If you’re unsure about the application process, contact the admissions team for help.

Admissions policy

University of Leeds Admissions Policy 2027

This course is taught by

School of Mathematics
School of Physics and Astronomy

Contact us

School of Physics and Astronomy Undergraduate Admissions Enquiries

Email: physics.admissions@leeds.ac.uk

Career opportunities

A degree in Mathematics and Physics equips you with a powerful combination of analytical, quantitative and computational skills that are highly valued across all sorts of sectors. You’ll develop the ability to model complex systems, reason abstractly, analyse large datasets and communicate technical ideas clearly – capabilities that are in demand well beyond traditional scientific careers.

Because the degree combines rigorous mathematics with a strong understanding of physical systems, it opens doors within science, engineering and far beyond.

Where this degree could take you

Science, engineering and technology

Many graduates go on to careers requiring deep technical insight, including:

• scientific research and development

• physicsheavy industries such as materials science, energy, electronics and photonics

• engineering roles that rely on modelling, simulation and data analysis

• computational science and high‑performance computing.

The course also provides an excellent foundation for postgraduate study in mathematics, physics, engineering, data science or related disciplines.

Data, computing and quantitative roles

The strong emphasis on problem‑solving, statistics, modelling and coding prepares graduates for data‑driven careers such as:

• data scientist or data analyst

• software developer or computational scientist

• machine learning and AIadjacent roles

• quantitative analyst.

Employers value graduates who can structure complex problems, work with abstraction, and translate realworld questions into mathematical or computational forms – all core skills developed throughout this degree.

Finance, consultancy and industry

Mathematics and Physics graduates are well represented in:

• finance, banking and fintech

• actuarial and risk analysis

• management and technical consultancy

• operations research and optimisation roles.

The ability to work confidently with numbers, uncertainty and complex models makes graduates attractive to employers in fast‑paced, analytical environments.

Education, communication and wider careers

Graduates also pursue careers in:

• teaching and education

• science communication and journalism

• policy, regulation and intellectual property

• roles requiring strong quantitative literacy and critical thinking.

The breadth of the degree, combined with the choice of optional modules and project work, allows students to tailor their studies towards the career paths that interest them most.

Careers support

At Leeds, we help you to prepare for your future from day one.

We have a wide range of careers resources – including our award-winning Employability Team who are in contact with many employers around the country and advertise placements and jobs. They are also on hand to provide guidance and support, ensuring you are prepared to take your next steps after graduation and get you where you want to be.

• Qualified careers consultants - gain guidance, support and information to help you choose a career path. You’ll have access to 1-2-1 meetings and events to learn how to find employers to target, write your CV and cover letter, research before interviews and enhance your interview skills. 

• Employability and networking events - we run a full range of events, including careers fairs in specialist areas and across broader industries, with employers who are actively recruiting for roles, giving you the opportunity to network with industry sponsors.  We’re also an active partner in the White Rose Industrial Physics Academy, where we hold the UK’s largest annual Physics Careers Fair, with employers looking exclusively for physicists.

• Employability skills training - we help you build the skills employers really value. Throughout the course, you’ll develop key transferable skills such as communication,  teamwork and problem-solving, helping you feel confident and work‑ready when you graduate. 

• MyCareer system - on your course and after you graduate, you’ll have access to a dedicated careers portal where you can book appointments with our team, get information on careers and see job vacancies and upcoming events. 

• Joblink - a student job shop offered by our Leeds University Union (LUU), designed to link students with local employers who provide rewarding work experience. LUU also offers volunteering opportunities and over 300 clubs and societies to get involved in.

Explore more about your employability opportunities at the University of Leeds.

Watch our Employability Team video.

You'll also have full access to the University’s Careers Centre, which is one of the largest in the country.

Study abroad and work placements

Study Abroad

Studying abroad is a unique opportunity to explore the world, whilst gaining invaluable skills and experience that could enhance your future employability and career prospects too.

From Europe to Asia, the USA to Australasia, we have many University partners worldwide you can apply to, spanning across some of the most popular destinations for students.

This programme offers you the option to spend time abroad as an extra academic year and will extend your studies by 12 months.

Once you’ve successfully completed your year abroad, you'll be awarded the ‘international’ variant in your degree title, which demonstrates your added experience to future employers.

Find out more about Study abroad.

Work placements

A placement year is a great way to help you decide on a career path when you graduate. You’ll develop your skills and gain a real insight into working life in a particular company or sector. It’ll also help you to stand out in a competitive graduate jobs market and improve your chances of securing the career you want.

Benefits of a work placement year:

• 100+ organisations to choose from, both in the UK and overseas

• Build industry contacts within your chosen field

• Our close industry links mean you’ll be in direct contact with potential employers

• Advance your experience and skills by putting the course teachings into practice

• Gain invaluable insight into working as a professional in this industry

• Improve your employability

If you decide to undertake a placement year, this will extend your period of study by 12 months and, on successful completion, you'll be awarded the ‘industrial’ variant in your degree title to demonstrate your added experience to future employers.

With the help and support of our dedicated Employability Team, you can find the right placement to suit you and your future career goals.

Here are some examples of placements our students have recently completed:

• RF, IT, Secure Networks & Communications 2021 Year in Industry, QinetiQ

• Industrial Placement - Technology Network Engineering, Vodafone Limited

• Pricing and Supply Chain Analyst, Solidigm

• QA Engineer, Elder Studios Ltd

• Software Engineer, Renishaw

• Test engineer, Parker Hannifin Manufacturing UK Ltd

• Project Analyst, Quick Release (AUTOMOTIVE) Ltd

• Service Engineer, Cummins

Find out more about Industrial placements.