- UCAS course code
- FG3C
- UCAS institution code
- M20
Master of Mathematics and Physics (MMath&Phys)
MMath&Phys Mathematics and Physics
- Typical A-level offer: A*A*A including specific subjects
- Typical contextual A-level offer: A*AA including specific subjects
- Refugee/care-experienced offer: AAA including specific subjects
- Typical International Baccalaureate offer: 38 points overall with 7,7,6 at HL, including specific requirements
Overview
Course overview
- Explore both mathematics and physics in depth, covering a wide range of topics across each discipline, allowing you to discover and pursue your passions.
- In physics, we're ranked joint 1st in the UK for research by REF (2021) and ARWU (2024) named us 2nd in the UK and Top 10 globally. In maths, we are Top 10 in the UK (QS Rankings 2023).
- Study at a university with outstanding facilities, including: the Alan Turing Building, which has been purpose-built for mathematics study; the Schuster Building, the home of physics at Manchester; the world-famous Jodrell Bank Observatory; and much more.
- Benefit from our excellent links with employers, including an annual maths-specific careers fair and an employer interview programme.
- Follow in the footsteps of world-changing mathematicians such as Alan Turing, and study in a Physics Department associated with no fewer than 13 Nobel Prize winners.
A study experience that makes a difference
We place social responsibility at the heart of your learning which means you can take advantage of unique ways to make a difference while studying with us, through your course or through extra-curricular activities.
- Complete our Ethical Grand Challenges to learn how you can create a better world and become more socially responsible.
- Work with an external organisation to tackle real-world sustainability problems through our University Living Lab.
- Discover subjects that broaden your horizon with our interdisciplinary learning opportunities.
Every course at Manchester contributes towards the UN's Sustainable Development Goals, so no matter what you're studying you'll be playing an active role in the protection of people and planet.
You will explore the following goals in your course:
- Goal 7: Affordable and clean energy
- Goal 9: Industry, innovation and infrastructure
- Goal 13: Climate action
Open days
Contact details
- Department
- Department of Physics & Astronomy
- Contact name
- Admissions Office
- Telephone
- +44 (0) 161 306 0888
- ug.physics@manchester.ac.uk
- Website
- https://www.physics.manchester.ac.uk/
- School/Faculty overview
-
Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality. Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .
Courses in related subject areas
Use the links below to view lists of courses in related subject areas.
Compare this course
Entry requirements
A-level
A*A*A, including A* in Physics and A* in Mathematics or Further Mathematics.
If you do not have the required grades or subjects you may want to consider our integrated foundation year .
Practical skills are a crucial part of science education and therefore there will be a requirement to pass the practical element of any science A-level taken. Where applicants are applying for science and related degrees, this is likely to be made explicit in the offers you will receive.
Contextual offer
A*AA, including Physics and Mathematics or Further Mathematics. The A* must be in Physics, Mathematics or Further Mathematics.
Find out more about contextual admissions .
Practical skills are a crucial part of science education and therefore there will be a requirement to pass the practical element of any science A-level taken. Where applicants are applying for science and related degrees, this is likely to be made explicit in the offers you will receive.
Refugee/care-experienced offer
Duration of A-level study
Your application will be considered against the standard selection process of your chosen course if you either:
a) sat your examinations early;
or
b) followed an accelerated curriculum and spent three years studying A-levels where the examinations were taken over two years.
If you are studying an advanced curriculum where the examinations are spread over three years, consideration for an offer will be at the discretion of the admissions tutor for that subject.
AS-level
AS-level results are not considered as part of the standard admissions process at The University of Manchester.
Unit grade information
The University of Manchester welcomes the provision of unit information where available. Like all other information provided by applicants this may be taken into consideration when assessing your application. Unit grades will not normally form part of an offer conditions.
GCSE
Applicants must demonstrate a broad general education, typically a minimum of five GCSEs/iGCSEs, including acceptable levels of literacy and numeracy, equivalent to at least grade 4/C in GCSE/iGCSE English Language, including grade 1 or 2 in the oral exam component if applicable, and grade 4/C in GCSE/iGCSE Mathematics.
GCSE/iGCSE English Literature will not be accepted in lieu of GCSE/iGCSE English Language.
International Baccalaureate
38 points overall with 7,7,6 at Higher Level, including 7 in both Physics and Mathematics.
We will accept Mathematics: Analysis and Approaches or Mathematics: Applications and Interpretation.
Other international entry requirements
Scottish requirements
Scottish Advanced Highers are normally required in one of the following combinations:
Three Advanced Highers with grades AAA, including Physics and Mathematics.
Or
Two Advanced Highers with grades AA in Physics and Mathematics and two Highers with grades AA in additional subjects.
English Language and Mathematics not taken at Higher/Advanced Higher must have been achieved at SCQF level 5 (minimum National 5 grade C / Intermediate 2 grade C / Standard Grade Credit level grade 3).
If you require further clarification about the acceptability of this qualification please contact the Department Admissions Team.
Welsh Baccalaureate
European Baccalaureate
Typically we require 88% overall with 9.0, 9.0, 8.5 in three written subjects, including 9.0 in both Physics and Mathematics.
AQA Baccalaureate
The University recognises the benefits of the AQA Baccalaureate and the opportunities it provides for applicants to develop independent study and research skills.
In making offers, the University will focus on the three A-levels taken within the AQA Baccalaureate.
The A-level requirements for the Department of Physics and Astronomy are A*A*A, including A* in Physics and A* in Mathematics or Further Mathematics.
The units of broader study, enrichment activities and the Extended Project are considered to be valuable elements of the AQA Baccalaureate and we would therefore strongly encourage students to draw upon these experiences within their personal statement.
Foundation year
The University recognises a number of foundation courses as suitable for entry to this undergraduate course.
Applicants completing the Northern Consortium (NCUK) International Foundation Year or INTO Manchester International Foundation in Science and Engineering are required to achieve grades A*A*A with A* in both Physics and Mathematics and grade C in English for Academic Purposes (EAP).
Applicants studying other Foundation courses should contact the Department Admissions Team to check if their qualification is recognised for entry to this course and for specific entry requirements.
Pearson BTEC qualifications
Pearson BTEC Level 3 National Extended Diploma
We consider the National Extended Diploma in any subject for entry with grades DDD when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Pearson BTEC Level 3 National Diploma
We consider the National Diploma in any subject for entry with grades DD when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Pearson BTEC Level 3 National Foundation Diploma
We consider the National Foundation Diploma in any subject for entry with grade D when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Pearson BTEC Level 3 National Extended Certificate
We consider the National Extended Certificate in any subject for entry with grade D when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Pearson BTEC Level 3 National Certificate
We do not consider the National Certificate for entry to this course.
If you require further clarification about the acceptability of this qualification, please contact the Admissions Team.
OCR Cambridge Technical qualifications
Cambridge Level 3 Technical Extended Diploma (CTEC)
We consider the Technical Extended Diploma in any subject for entry with grades DDD when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Cambridge Level 3 Technical Diploma (CTEC)
We consider the Technical Diploma in any subject for entry with grades DD when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Cambridge Level 3 Technical Foundation Diploma (CTEC)
We consider the Technical Foundation Diploma in any subject for entry with grade D when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Cambridge Level 3 Technical Extended Certificate (CTEC)
We consider the Technical Extended Certificate in any subject for entry with grade D when taken with two A-Levels at grades A* in Physics and A* in Mathematics or Further Mathematics.
Cambridge Level 3 Technical Certificate (CTEC)
We do not consider the Technical Certificate for entry to this course.
If you require further clarification about the acceptability of this qualification, please contact the Admissions Team.
Access to HE Diploma
Given that it is not possible to meet our published offer conditions within an Access to HE Diploma, we would not recommend this qualification as the best way of preparing for our courses. However, we would look very carefully at any applications from exceptional Access students, studying a relevant Access to HE Diploma, who were on track to gain the AAA equivalent (45 graded credits at Level 3 with Distinction grade).
We would treat any such exceptional students on a case-by-case basis, looking very carefully at past academic history and the academic reference; promising candidates would be invited to interview to add supplementary information. A decision would be made about entry holistically on the basis of all information (including details of the course undertaken) and would usually be conditional on the above standard.
As each application is considered individually, applicants should contact the Department Admissions Team to discuss their particular circumstances before applying.
Cambridge Pre-U
D2, D2, D3 in Principal subjects, including D2 in Physics and D2 in Mathematics or Further Mathematics.
We also consider applicants offering a mix of Pre-U Principal Subjects and A-level subjects, provided a minimum of three distinct subjects overall are taken, and specific subject and grade requirements are met.
The University welcomes and recognises the value of the Cambridge Pre-U Global Perspectives and Research (GPR) and the opportunities it provides for applicants to develop independent study and research skills. However, the qualification will not form part of your offer conditions.
If you do not have the required grades or subjects you may want to consider our integrated foundation year .
T Level
We do not accept T Levels as entry onto this course. The University does accept specific T Level qualifications on a number of courses please review to our T Level information page for a full list.
Extended Project Qualification (EPQ)
The University recognises the benefits of the Extended Project Qualification (EPQ) and the opportunities it provides for applicants to develop independent study and research skills. Although the Extended Project will not be included in the conditions of your offer, we strongly encourage you to provide information about the EPQ in your personal statement and at interview, if applicable.
A number of our academic Departments may also choose to take your performance in the EPQ into account should places be available in August for applicants who narrowly miss the entry grades for their chosen course.
Core Maths
The University welcomes and recognises the value of Level 3 core mathematics qualifications (e.g. AQA Certificate in Mathematical Studies).
Core Mathematics is not a compulsory element of post-16 study and as a result we will not normally include it in the conditions of any offer made to the student. However, if a student chooses to undertake a core mathematics qualification this may be taken into account when we consider their application, particularly for certain non-science courses with a distinct mathematical or statistical element.
We advise students to contact the academic Department, who will clarify whether their specific portfolio of qualifications is acceptable for entry on to their chosen course.
Core Mathematics will not be accepted in lieu of an A-level.
Home-schooled applicants
If you are a student who has followed a non-standard educational route, e.g. you have been educated at home; your application will be considered against the standard entry criteria of the course for which you are applying. You will be required to demonstrate that you meet the specified academic entry requirements of the course.
We will also require a reference from somebody who knows you well enough, in an official capacity, to write about you and your suitability for higher education. Please refer to UCAS for further information: UCAS reference guidelines.
If you are a home-schooled student and would like further information or advice please contact the Admissions Team for the academic department for your chosen course.
Non-standard educational routes
Mature applicants who are returning to studies after a break from formal education will be considered on a case-by-case basis.
If you require further clarification about the acceptability of the qualifications you hold please contact the Department of Physics and Astronomy directly.
English language
All applicants to the University (from the UK and overseas) are required to show evidence of English Language proficiency.
The minimum English Language requirement for this course is either:
- GCSE/iGCSE English Language grade 4/C
- IELTS 6.0 overall with no sub-skill below 5.5
- TOEFL iBT 80 overall with no less than 20 in speaking and 18 in all other subscores. We do not accept TOEFL iBT Special Home Edition.
- An acceptable equivalent qualification .
Where specified, we also require grade 1 or 2 in the Oral Exam component of the iGCSE English Language (first or second language) qualification.
Please note that if you hold English as a Second Language iGCSE qualification, we may also require you to offer one of our acceptable equivalent qualifications or achieve a higher grade in your iGCSE than the one stated above.
English language test validity
Some English language test results are only valid for two years. Your English language test report must be valid on the start date of the course.
Fees and funding
Fees
Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £36,500 per annum. For general information please see the undergraduate finance pages.
Policy on additional costs
All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).
Scholarships/sponsorships
The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.
For information about scholarships and bursaries please visit our undergraduate student finance pages and our Department funding pages .
Application and selection
How to apply
Advice to applicants
You should not usually apply for more than one first year Physics-based undergraduate course offered by The University of Manchester. Applicants to this course can change to any one of the courses offered within the Department of Physics and Astronomy at any time before the start of the academic year.
Factors contributing to a successful application include:
- past academic performance;
-
predicted academic performance;
-
enthusiasm for, and realistic grasp of, chosen degree course;
-
evidence of interpersonal skills and non-academic interests/achievements.
Your referee should give realistic grade predictions for all qualifications that you are currently studying at the top of their reference. If you attend a non-UK school or college that does not provide predicted grades your referee should explain this policy within their reference.
Further guidance on how to apply can be found on our How to Apply webpage .
Where you have mitigating circumstances, these should be reported to your education provider and relevant exam board. We cannot make further allowances.
We would normally only consider applicants who obtained the relevant qualification within the two years prior to entry. Applicants who have left education for more than two years should contact the Admissions Team to discuss their particular circumstances.
How your application is considered
All applications are considered on an individual basis once we receive a formal application through UCAS which includes details of the subjects taken and grades achieved, a personal statement, academic reference and your predicted grades (if you have not yet taken your final examinations). Candidates may also be interviewed online or in person.
All applicants should be aware that, if they are interviewed, information provided in the personal statement may be used as the basis for further discussion in an interview with an academic member of staff.
Further information and advice on writing your personal statement and the UCAS application process can be found on the UCAS website .
Skills, knowledge, abilities, interests
Interview requirements
Eligible UK-based applicants are required to attend an in-person interview as part of the selection process.
Returning to education
Overseas (non-UK) applicants
You should apply for an ATAS clearance certificate if your course requires it, unless you're exempt because you're a national of the UK, EU, EEA, Switzerland, Australia, Canada, Japan, New Zealand, Singapore, South Korea or the USA.
Your Student Route Visa application, or extension of stay, will automatically be refused if you need an ATAS certificate and cannot provide one. For further guidance on obtaining an ATAS certificate, please see the information in our ATAS guidance
.
Please do not apply for ATAS until contacted by your admissions team, as the information required is subject to change.
Failure to obtain a correct ATAS certificate will prevent our ability to issue a CAS (Confirmation of Acceptance for Studies).
Aptitude test requirement
Deferrals
Applications for deferred entry are considered equally to other applications up to the point of confirmation.
Deferred entry is granted at the discretion of admissions staff, and is normally granted for one year only and two years at the maximum in exceptional circumstances.
Some English Language test results, such as IELTS or TOEFL, are only valid for two years from the test date. Your English Language test report must be valid on the start date of the course.
We normally guarantee a place in the current year should an applicant's gap year plans change. However, this is subject to availability of places.
Policy for applicants who resit their qualifications
If you have re-sat individual modules to improve your grades, we will consider your application according to the standard selection process. If you are planning to re-sit the final Year 13 examinations, or have already done so, the University will consider your application, but we may require further information in order to make an informed judgment on your application.
Policy for applicants who take their examinations in more than one sitting
We are happy to consider applicants who are taking their examinations in different sittings, provided they were taken over the standard two-year period.
Re-applications
If you applied in the previous year and your application was not successful you may apply again. Your application will be considered against the standard course entry criteria for that year of entry. In your new application you should demonstrate how your application has improved.
We may draw upon all information from your previous applications or any previous registrations at the University as a student when assessing your suitability for your chosen course.
If you are applying for a place for the same year of entry through UCAS Extra, you should provide additional evidence of your suitability for the course. If you are applying through UCAS Clearing, you are required to meet the Clearing requirements. In both UCAS Extra and Clearing, places will be subject to availability.
Transfers
Transfers to the first year of this course from those on another course within the University, or from other institutions, are considered on a case-by-case basis.
Transfers into the second year are not normally considered.
If you wish to enquire about whether you would be eligible to apply for entry onto the first or second year, please contact the Admissions Team with full details of your qualifications and copies of your transcripts to date.
Course details
Course description
Our MMath&Phys Mathematics and Physics degree provides an opportunity to study two key subjects in depth - at a university with a fantastic reputation for both - leading to master's level qualification.
You will study a broad range of topics across both disciplines. In applied mathematics, for example, you can cover hydrodynamics, waves, elasticity and modelling of industrial processes. For theoretical physics you can study, among others, high energy particle physics, nuclear physics and quark matter, and field theory in curved space-time.
Our physics department is recognised as one of the very best in the UK, and we have one of the largest mathematics departments in the country - so you can explore a huge range of areas.
You will have access to an incredible array of facilities - including our £43 million built-for-purpose Alan Turing Building, designed with input from mathematics staff and students alike - and will be taught by teachers with a wide variety of research interests. Our strong links with industry include an annual maths-specific careers fair and an employer interview programme.
Aims
- You will study two key disciplines, mathematics and physics, in depth and to master's level - covering a broad range of topics in both.
- We will provide access to a fantastic array of facilities, and you will work with leading academics in both mathematics and physics.
- You will draw on the combined expertise of three centres of University excellence.
Special features
The University holds undergraduate open days regularly, giving you the opportunity to find out more about our courses, the support we offer, and our facilities. Attending an open day is a great way to find out what studying at Manchester is all about. Find out about our upcoming open days .
View the recent undergraduate virtual open week recorded sessions.
Teaching and learning
Coursework and assessment
Course unit details
You can find out more information about the course units included in your chosen degree course below.
Note that not every combination of option choices may be possible due to timetable clashes.
Course content for year 1
Course units for year 1
The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.
Title | Code | Credit rating | Mandatory/optional |
---|---|---|---|
Linear Algebra | MATH11022 | 20 | Mandatory |
Mathematical Foundations & Analysis | MATH11121 | 20 | Mandatory |
Introduction to Vector Calculus | MATH11411 | 10 | Mandatory |
Introduction to Ordinary Differential Equations | MATH11412 | 10 | Mandatory |
Dynamics | PHYS10101 | 10 | Mandatory |
Quantum Physics and Relativity | PHYS10121 | 10 | Mandatory |
Year 1 Lab Work (One Semester) | PHYS10280 | 10 | Mandatory |
Vibrations & Waves | PHYS10302 | 10 | Mandatory |
Electricity & Magnetism | PHYS10342 | 10 | Mandatory |
Introduction to Programming | PHYS10362 | 10 | Mandatory |
Course content for year 2
Course units for year 2
The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.
Title | Code | Credit rating | Mandatory/optional |
---|---|---|---|
Introduction to Quantum Mechanics | PHYS20101 | 10 | Mandatory |
Electromagnetism | PHYS20141 | 10 | Mandatory |
Properties of Matter | PHYS20151 | 10 | Mandatory |
Year 2 Lab Work (One Semester) | PHYS20280 | 10 | Mandatory |
Quantum Mechanics 2 | PHYS20302 | 10 | Mandatory |
Electromagnetism 2 | PHYS20342 | 10 | Mandatory |
Statistical Mechanics | PHYS20352 | 10 | Mandatory |
Metric Spaces | MATH21111 | 10 | Optional |
Rings & Fields | MATH21112 | 10 | Optional |
Groups and Geometry | MATH21120 | 20 | Optional |
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Course content for year 3
Course units for year 3
The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.
Title | Code | Credit rating | Mandatory/optional |
---|---|---|---|
Introduction to Nuclear and Particle Physics | PHYS30121 | 10 | Mandatory |
General Physics Skills | PHYS30302 | 10 | Mandatory |
Meteorology and Forecasting | EART31201 | 10 | Optional |
Origin of the Solar System | EART32201 | 10 | Optional |
Climate and Energy: Past, Present and Future | EART36002 | 10 | Optional |
Introduction to Financial Mathematics | MATH20912 | 10 | Optional |
Metric Spaces | MATH21111 | 10 | Optional |
Topology and Analysis | MATH31010 | 20 | Optional |
Analysis and Geometry in Affine Space | MATH31061 | 10 | Optional |
Differential Geometry of Curves and Surfaces | MATH31072 | 10 | Optional |
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Course content for year 4
Course units for year 4
The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.
Title | Code | Credit rating | Mandatory/optional |
---|---|---|---|
Climate and Energy: Past, Present and Future | EART36002 | 10 | Optional |
Topology and Analysis | MATH31010 | 20 | Optional |
Analysis and Geometry in Affine Space | MATH31061 | 10 | Optional |
Differential Geometry of Curves and Surfaces | MATH31072 | 10 | Optional |
Advanced Algebra | MATH32010 | 20 | Optional |
Coding Theory | MATH32031 | 10 | Optional |
Hyperbolic Geometry | MATH32052 | 10 | Optional |
Algebraic Geometry | MATH32062 | 10 | Optional |
Number Theory | MATH32072 | 10 | Optional |
Combinatorics and Graph Theory | MATH32091 | 10 | Optional |
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What our students say
Find out what it's like to study at Manchester by visiting the Department of Physics and Astronomy blog .
Facilities
A range of study options
It is possible to transfer to the three-year BSc Mathematics and Physics course at the beginning of your third year, if you so wish.
Excellent facilities
Learn in the fantastic Alan Turing Building - a modern, £43 million building designed to provide an ideal learning space for mathematics students.
Disability support
Careers
Career opportunities
The careers team were amazing in helping with interview preparation,
allowing me to practice interview technique and gain confidence for my applications.
Hannah Levell / Trainee Accountant at PwC
The support network, careers events, and extracurricular activities provided by the university all helped me significantly.
Without them I would have found obtaining a job post university much more difficult.
Nicolas Brusby / Rolls Royce
Your degree from Manchester will open up a whole world of opportunity.
In learning how to be a physicist you are a taught a set of highly valued skills:
- Rigorous and robust evidence-based reasoning
- How to analyse and assess data, and drawing meaning from it
- High degree of numeracy and mathematical ability
- Communication and team-working skills
This will prepare you for a broad range of careers, not just in physics but in other areas that need the in-demand skills you will learn.
The University of Manchester is the number 1 most targeted university in the country by employers*. 90% of graduates from this course are in work or further studies 15 months after graduating with a median salary of £31,000**.
Plus, our award-winning careers services will support you on your journey to finding the right career path for you.
Our graduates often go on to do research in astrophysics or other branches of physics, including:
- Scientist/Engineer for Tech Company
- Finance/Banking/Management
- Information Technology
- Research scientist
- Medical Physics
- Scientific Publishing
- Teaching
- Science-related careers in the Civil Service
Below are just some of the employers that our graduates have gone on to work for:
- BAE Systems
- RAF
- Meteorological Office
- NHS
- Bank of England
- Deutsche Bank
- Merril Lynch
You can read more about the experiences our students and graduates have had on the Department of Physics blog.
Accrediting organisations
This course is accredited by both the Institute of Physics and the Institute of Mathematics and its Applications (IMA).
The accreditation by the IMA means that the programme meets the educational requirements of the Chartered Mathematician designation awarded by the IMA.