Undergraduate study - 2025 entry
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MPhys Mathematical Physics

UCAS code: F325

Duration: 5 years

Delivery: Full-time

School: Physics and Astronomy

College: Science and Engineering

Accreditation
Study abroad

Introducing MPhys Mathematical Physics

Mathematical Physics aims to develop a precise quantitative understanding of the nature, structure and evolution of the physical world through the language of mathematics.

Its scope explores:

  • quarks and leptons and the smallest fragments of the universe
  • the material world we perceive directly with our senses
  • stars, galaxies, and the origins and fate of the universe itself

It builds directly on the work of:

  • Newton
  • Maxwell
  • Einstein
  • Heisenberg
  • Dirac
  • Feynman
  • Hawking
  • Higgs
  • countless others

Our aim is to equip you with the precise analytical thinking necessary to understand this vast subject in-depth.

Studying mathematical physics at the University of Edinburgh

What do our students think?

Accreditation

Accredited by the Institute of Physics (IOP). In addition, the programme fully meets the educational requirements for Chartered Physicist.

Year 1

During the first two years, you will focus on building a mathematical foundation.

In Year 1, you will study four compulsory courses:

  • Physics 1A
  • Introduction to Linear Algebra
  • Calculus and its Applications
  • Mathematics for Physics 2

You will also have the opportunity to take a further course in pure mathematics or physics.

Year 2

In Year 2, you will study:

  • modern physics
  • dynamics
  • fields and waves
  • physics of matter

Mathematics courses will cover several variable calculus and the foundations of pure mathematics.

You will also be introduced to practical physics, including:

  • programming
  • data analysis
  • (optionally) experimental techniques

Option course

You will also have the freedom to choose a further specialist mathematics course or a course from other academic areas.

Year 3

In Year 3, you will study advanced courses in subjects such as:

  • quantum mechanics
  • thermodynamics
  • electromagnetism and relativity
  • lagrangian dynamics

You will also study further specialist mathematics and physics courses from a range available.

Year 4

You will study:

  • condensed matter physics
  • nuclear and particle physics
  • symmetries of quantum mechanics
  • mathematical physics
  • quantum theory
  • classical electrodynamics

Group project

You will also work on a group project with four or five other students and need to:

  • research a physics-based topic
  • collate and analyse existing information from a wide variety of sources
  • present your findings in oral and written forms

Option courses

Alongside this, you can choose from a wide range of option courses, some of which are part of programmes from the School of Mathematics.

Courses cover a number of topics, including:

  • algebra
  • general relativity
  • Hamiltonian dynamics
  • geometry
  • statistical physics

Year 5

Research project

Your final year is largely devoted to a research project chosen from a wide range of topics.

Through the project, you will identify and cultivate the technical, personal, and presentation skills needed to work successfully in a physics-based research/development environment.

Advanced-level courses

You will also complete a number of advanced-level courses including relativistic quantum field theory.

Some of these courses are part of the MSc in Mathematical Physics in the School of Physics and Astronomy.

Programme structure

Find out more about the compulsory and optional courses in this degree programme.

To give you an idea of what you will study on this programme, we publish the latest available information. However, please note this may not be for your year of entry, but for a different academic year.

Programme structure (2023/24)

Our facilities

Teaching is based at the University's King's Buildings campus. The King's Buildings campus is around 15 minutes from central Edinburgh by bus.

The location of your optional courses will depend on what courses you choose.

During your first three years, you will have access to:

  • the School of Physics and Astronomy undergraduate laboratories
  • the University's libraries and computer facilities

From Year 2, you will also have access to the Computational Physics Laboratory.

You will also be able to access the University's world-class research equipment and facilities.

Take a virtual tour

You can take a closer look at the School of Physics and Astronomy and explore our facilities and campus on the University's Virtual Visit site.

Take a virtual tour of the School of Physics and Astronomy

Study abroad

You will have the opportunity to study abroad through international exchange programmes.

What are my options for going abroad?

How will I learn?

You will be taught by specialists in the field through a combination of:

  • lectures
  • tutorials
  • practicals

We take advantage of the latest teaching technology and these methods help to develop your problem-solving skills.

From Year 3, you will also complete group projects and research projects under the supervision of one of the School’s academic or research staff members.

How will I be supported?

You will be fully supported throughout your time in the School of Physics and Astronomy.

All students in the School of Physics and Astronomy have a named Student Adviser offering advice on well-being and study support issues.

You will also benefit from mentoring by a member of academic staff who will oversee your progress and advise on your academic options.

There are two peer support schemes that allow new students to get help from more experienced students:

  • The Physics Peer Mentoring Scheme pairs trained mentors (honours students) with pre-honours students to help them work on whatever area of study they would like to improve.

  • The Maths Buddies Scheme runs weekly study sessions focusing on support for maths questions and problems.

In addition, the School of Physics and Astronomy has year representatives for every year of each of our programmes, who act as a link between students and staff. The role of the representative is to ensure that students' views on academic matters are heard.

In the intermediate and advanced years, you will find you are a member of a relatively small and close-knit group of students.

How will I be assessed?

Assessment includes a combination of:

  • regular hand-ins
  • in-class assessments
  • online tests
  • end of semester examinations

Practical and computing courses have laboratory write-ups and checkpoint assessments.

Other courses are assessed by:

  • presentations
  • peer assessing each other’s work
  • writing critical reviews of scientific literature

Exams take place in December and May.

Many employers recognise that physics graduates have advanced problem-solving skills and the ability to think logically and critically about complex situations.

Graduates have opportunities in a diverse range of careers using skills gained from this degree, such as:

  • a high level of mathematical ability

  • IT proficiency

  • communication skills

Where our graduates work

Our recent graduates have gone on into employment with a wide variety of organisations, including:

  • Google
  • The European Space Agency
  • BBC
  • IBM

Physicists are sought after by many sectors, including:

  • engineering
  • manufacturing
  • energy
  • finance
  • medicine
  • the space industries

Further opportunities for study

A number of our graduates go on to further study, for example:

  • PhD research
  • a masters degree in a science or engineering subject
  • a postgraduate diploma in education

Standard entry requirement

The standard entry requirement is:

  • SQA Highers: AAAA (achievement by end of S5 preferred). BBB must be achieved in one year of S4-S6.
  • A Levels: AAA - ABB in one set of exams.
  • IB: 37 points with 666 at HL - 32 points with 655 at HL.

Minimum entry requirement

The minimum entry requirement for widening access applicants is:

  • SQA Highers: AABB by end of S6. BBB must be achieved in one year of S4-S6.
  • A Levels: ABB.
  • IB: 32 points with 655 at HL.

More information for widening access applicants

Required subjects

The grades used to meet our entry requirements must include:

  • SQA: Highers: Mathematics at A and Physics at B. Higher Applications of Mathematics is not accepted in place of Higher Mathematics. Advanced Higher Mathematics is recommended. National 5s: English at C.
  • A Levels: Mathematics at A and Physics at B. Further Mathematics is recommended. GCSEs: English at C or 4.
  • IB: HL: Mathematics (Analysis and approaches only) at 6 and Physics at 5. SL: English at 5.

Find out more about entry requirements

International applicants

We welcome applications from students studying a wide range of international qualifications.

Entry requirements by country

Mature applicants

We welcome applications from mature students and accept a range of qualifications.

Mature applicant qualifications

Academic Technology Approval Scheme

If you are not an EU, EEA or Swiss national, you may need an Academic Technology Approval Scheme clearance certificate in order to study this programme.

Academic Technology Approval Scheme

For direct entry to second year the standard requirements must be exceeded, including the following:

  • SQA Advanced Highers: AAA to include Mathematics and Physics.
  • A Levels: A*AA in one set of exams to include Mathematics at A*, Further Mathematics, and Physics.
  • IB: 38 points with 766 at HL to include Mathematics (Analysis and approaches only) at 7 and Physics at 6.
Other entry pathways

Entry to many degrees in Science & Engineering is possible via other qualifications (eg HNC/D, Access, SWAP).

Regardless of your nationality or country of residence, you must demonstrate a level of English language competency at a level that will enable you to succeed in your studies.

SQA, GCSE and IB

For SQA, GCSE and IB students, unless a higher level is specified in the stated entry requirements, a pass is required in English at the following grades or higher:

  • SQA National 5 at C
  • GCSE at C or 4
  • Level 2 Certificate at C
  • IB Standard Level at 5 (English ab initio is not accepted for entry)

English language tests

We accept the following English language qualifications at the grades specified:

  • IELTS Academic: total 6.5 with at least 5.5 in each component. We do not accept IELTS One Skill Retake to meet our English language requirements.
  • TOEFL-iBT (including Home Edition): total 92 with at least 20 in each component. We do not accept TOEFL MyBest Score to meet our English language requirements.
  • C1 Advanced (CAE) / C2 Proficiency (CPE): total 176 with at least 162 in each component.
  • Trinity ISE: ISE II with distinctions in all four components.
  • PTE Academic: total 62 with at least 54 in each component.

We also accept a wider range of international qualifications and tests.

Unless you are a national of a majority English speaking country, your English language qualification must be no more than three and a half years old from the start of the month in which the degree you are applying to study begins. If you are using an IELTS, PTE Academic, TOEFL or Trinity ISE test, it must be no more than two years old on the first of the month in which the degree begins, regardless of your nationality.

English language requirements

Selection

We normally make offers to the highest qualified applicants. If competition for places is high this may mean that offers will only be made to applicants who are predicted, or who have achieved, above the single set of grades or the upper grade level in a range. Any conditional offer made may require you to achieve grades above the upper grade level. Therefore, achieving the top of our standard entry requirements does not guarantee a place on the relevant degree.

Please apply for only one Physics degree as we are only able to consider one application to this subject area. You will have the opportunity to switch between programmes in later years provided the required courses have been passed.

This information is part of a government initiative to enhance the material that higher education institutions provide about their degree programmes.

It is one of many sources of information which will enable you to make an informed decision on what and where to study.

Please note that some programmes do not have Discover Uni data available.

Tuition Fees

Tuition fees for MPhys Mathematical Physics

Additional costs

You should expect to buy the necessary textbooks for some compulsory and option components of your programme.

Funding

For more information on how much it will cost to study with us and the financial support available see our fees and funding information.

Fees and funding

More information

How to apply

School: Physics and Astronomy

College: Science and Engineering