Mathematical Physics

取得日期：2026-10-02、2026-10-06、2026-11-02

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Mathematical Physics MMath (Hons) | Courses | University of Liverpool

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Qualification type

MMath (Hons)

Mathematical Physics

UCAS code FGH1

Entry requirements

A level: ABB

View full requirements

Study mode

Full-time

Duration

Start date and application deadlines

Start date

September 2027

Apply by:

13 January 2027

Starts on:

27 September 2027

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How to apply

Ready to apply? You can apply for this course online now using the UCAS website. The deadline for UK students to apply for this course is

13 January 2027.

The deadline for international students is 30 June 2027.

Use these details to apply for this course through UCAS:

University name: University of Liverpool

Course: Mathematical Physics FGH1

Location: Main site

Start date: 27 September 2027

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Combine this subject

With a combined degree, you can study two subjects as part of the same degree programme.

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About this course

Combining the study of Physics and Mathematics in your degree programme will give you a strong foundation for your future career. You will learn mathematical techniques to help you deal with new ideas and will understand new concepts such as quantum mechanics and relativity. This four year courses means you will graduate with a Master's qualification.

Introduction

Mathematics is a fascinating, beautiful and diverse subject to study. It underpins a wide range of disciplines, from physical sciences to social sciences, from biology to business and finance.

Physics is the most fundamental of the sciences. New concepts, such as quantum mechanics and relativity, are introduced at degree level in order to understand nature at the deepest level. These theories have profound philosophical implications because they challenge our view of the everyday world. At the same time they have a huge impact on society since they underpin the technological revolution.

Combining the study of Physics and Mathematics in your degree programme will give you a strong mathematical training. You will learn mathematical techniques to help you to deal with new ideas that often seem counterintuitive, such as string theory, black holes, superconductors and chaos theory.

Physics and Mathematics degrees are highly prized, and our graduates have excellent career opportunities.

What you'll learn

Numeracy

Problem-solving skills

Ability to reason and communicate clearly

Teamwork

Presentation skills.

Accreditation

We have accreditation from the Institute of Physics (IoP) and the Institute of Mathematics and its Applications (IMA).

Both accreditations can be achieved on a conditional basis. Accreditations depend on your choice and your performance on optional modules.

Accreditation in detail

Institute of Mathematics and its Applications (IMA)

The IMA is the professional learned institute for mathematicians, supporting the advancement of mathematical knowledge and its applications to promote and enhance mathematical practice for the benefit of society.

Institute of Physics

This programme is accredited by the Institute of Physics, which means it satisfies the academic requirements for Chartered Physicist status. The Institute of Physics is the professional body for physics in the UK and Ireland.

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We’ve been awarded a Gold rating for educational excellence.

Find out why we’re rated Gold

Course content

Discover what you'll learn, what you'll study, and how you'll be taught and assessed.

Year one

In year one, you will take compulsory modules to learn the fundamentals of a range of mathematical physics topics.

You will also take the following compulsory modules:

MATH113: Core Maths I

PHYS110: Physics in Practice for Theoretical Physicists

MATH112: Core Maths II.

Compulsory modules

THERMAL PHYSICS AND PROPERTIES OF MATTER (PHYS102)

ELECTRICITY, MAGNETISM AND WAVES (PHYS103)

FOUNDATIONS OF QUANTUM PHYSICS (PHYS104)

Programme details and modules listed are illustrative only and subject to change. This course has been updated for 2027 entry as part of a review of all our programmes. This review has considered refining study pathways, strengthening links with employers, integrating generative AI, developing students’ research skills, and enhancing alignment with our research strengths. Please note, as at all times, the University reserves the right to make reasonable changes, including to content, entry requirements, or fees, or to discontinue programmes. Applicants will be informed of any significant change.

Year two

In year two, you will continue to learn by studying compulsory modules that explore a wide range of topics, such as nuclear and particle physics and equations.

VECTOR CALCULUS WITH APPLICATIONS IN FLUID MECHANICS (MATH225)

COMPLEX FUNCTIONS (MATH243)

QUANTUM AND ATOMIC PHYSICS I (PHYS204)

NUCLEAR AND PARTICLE PHYSICS (PHYS201)

DIFFERENTIAL EQUATIONS (MATH221)

ELECTROMAGNETISM I (PHYS203)

CLASSICAL MECHANICS (MATH228)

CONDENSED MATTER PHYSICS (PHYS202)

Year three

In year three, you will study some compulsory modules and choose some optional modules. You can’t choose to study these pairings together: PHYS312, PHYS375, MATH367, PHYS374, MATH336, PHYS303 or MATH327/PHYS384.

The following modules will be added shortly:

MATH395: Capstone Project in Mathematics (compulsory)

MATH336: Numerical Methods for Ordinary and Partial Differential Equations (optional).

FURTHER METHODS OF APPLIED MATHEMATICS (MATH323)

RELATIVITY (MATH326)

PHYSICS DATA ANALYSIS WITH STATISTICS (PHYS392)

Optional modules

QUANTUM AND ATOMIC PHYSICS II (PHYS304)

QUANTUM MECHANICS (MATH325)

PHYSICS OF RENEWABLE ENERGY AND ELECTRONIC DEVICES (PHYS312)

NUCLEAR PHYSICS (PHYS375)

NETWORKS IN THEORY AND PRACTICE (MATH367)

INTRODUCTION TO STRING THEORY (MATH423)

INTRODUCTION TO MODERN PARTICLE THEORY (MATH431)

RELATIVITY AND COSMOLOGY (PHYS374)

THE MAGIC OF COMPLEX NUMBERS: COMPLEX DYNAMICS, CHAOS AND THE MANDELBROT SET (MATH345)

ELECTROMAGNETISM II (PHYS303)

MORE IS DIFFERENT: STATISTICAL MECHANICS, THERMODYNAMICS, AND ALL THAT (MATH327)

MEDICAL APPLICATIONS (PHYS384)

MATHEMATICS INTERNSHIP (MATH309)

Year four

In year four, you will choose two optional modules in semester one.

Choose two optional modules in semester two.

You can’t select both MATH421 and PHYS490. You can’t take PHYS493 if you have taken or are taking MATH431.

You must choose at least two MATH optional modules across year four.

The following module will be added shortly:

PHYS401: Classical Mechanics (optional).

DISSERTATION FOR THEORETICAL PHYSICS (MATH434)

ADVANCED QUANTUM PHYSICS (PHYS404)

QUANTUM FIELD THEORY (MATH425)

NUMERICAL METHODS IN PHYSICS (PHYS405)

ACCELERATOR PHYSICS (PHYS481)

ADVANCED NUCLEAR PHYSICS (PHYS490)

LINEAR DIFFERENTIAL OPERATORS IN MATHEMATICAL PHYSICS (MATH421)

ASYMPTOTIC METHODS FOR DIFFERENTIAL EQUATIONS (MATH433)

PHYSICS OF THE RADIATIVE UNIVERSE (PHYS485)

WAVES, MATHEMATICAL MODELLING (MATH427)

THEORETICAL FOUNDATIONS OF PARTICLE PHYSICS (PHYS493)

FRONTIERS OF PARTICLE PHYSICS (PHYS492)

Teaching and assessment

How you'll learn

You’ll be taught through a diverse blend of engaging teaching methods, including lectures, tutorials, practical classes, video content, interactive learning sessions, independent study, and supervised project work.

The Department of Mathematical Sciences offers a vibrant, stimulating, and supportive learning environment with highly motivated and exceptionally qualified staff, renowned for their world-leading research and teaching.

For the year one semester one module MATH113 (Core Mathematics I), students meet in small groups to discuss problems with academic tutors. These tutorials also help develop students’ ability to write, present, and discuss complex material. For other modules, small-group tutorials are replaced by problem classes in larger groups, which allow students to develop their problem-solving skills in an interactive environment.

All lecturers are available for one-to-one or small group support during regular office hours. Independent study is expected throughout the programme, and students are directed to reading lists and other resources to support it

How you're assessed

Assessment is by end-of-semester examinations and/or continuous assessment. All mathematics modules have a coursework component. Forms of assessment used within the department include problem sheets, class tests, individual and group project work, report and essay writing, individual and group presentations, portfolio creation and reflective writing.

Liverpool Learning Framework

At Liverpool, we take a distinctive approach to education through the Liverpool Learning Framework. This means teaching that is engaging, inclusive and designed to help you succeed during your studies and beyond.

You’ll develop specialist subject knowledge alongside the skills employers value most, including:

Digital fluency

Confidence

Global citizenship

Our curriculum is characterised by the three Liverpool Hallmarks:

Research-connected teaching - learning informed by the latest ideas and discoveries

Active learning - taking part, applying knowledge and learning by doing

Authentic assessment - assessments designed around real-world tasks and challenges

We also embed key priorities across our curriculum, including AI literacy, employability, and sustainability, helping you prepare for the future and make a positive impact in the world.

We’re committed to creating a supportive and inclusive learning environment where every student can thrive.

Course options

Studying with us means you can tailor your degree to suit you. Here's what is available on this course.

Global opportunities

University of Liverpool students can choose from an exciting range of study placements at partner universities worldwide.

Year in China

Immerse yourself in Chinese culture on an optional additional year at Xi'an Jiaotong Liverpool University in stunning Suzhou.

Learn Chinese

Study in a bustling world heritage city

Improve employment prospects

Study Chinese culture

30 minutes from Shanghai

Learn new skills

Read more about Year at XJTLU, China

Year abroad

Broaden your world by spending an additional year of study at a partner university abroad following your second year of study.

Choose from up-to 26 countries

Experience another way of life

Inspire your future career or studies

Improved prospects of earning a 2:1 or First

More likely to earn higher salary

More likely to be employed after graduating

Where can I spend a year abroad on this course?

More about taking a year abroad

Summer abroad

Spend a summer abroad on a study placement or research project at one of our worldwide partner institutions.

Spend a summer abroad in addition to your degree programme

Study abroad without adding an extra year

Choose any summer between your first and final year of study

Get the chance to study subjects outside your discipline

Where can I spend a summer abroad on this course?

More about taking a summer abroad

Language study

Every student at The University of Liverpool can study a language as part of, or alongside their degree. You can choose:

A dedicated languages degree

A language as a joint or major/minor degree

Language modules (selected degrees)

Language classes alongside your studies

Read more about studying a language

Your experience

You will study in the Department of Mathematical Sciences, which offers a vibrant, stimulating, and supportive learning environment with highly motivated and exceptionally qualified staff, renowned for their world-leading research and teaching.

Student support, engagement, inclusion, and belonging are key. Community-building opportunities are embedded throughout all years of study, beginning at welcome week induction and continuing through tutorials, core modules, Peer Assisted Learning sessions and social events (Maths Quiz, Maths Cafe) organised by the Student Community Lead and the MathSoc student society.

Explore where you'll study

Mathematical Sciences student

Mathematical Sciences students

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Watch on Panopto: Meet Kate: studying Maths at Liverpool

Meet Kate: studying Maths at Liverpool

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Supporting your learning

From arrival to alumni, we’re with you all the way:

Careers and employability support, including help with career planning, understanding the job market and strengthening your networking skills

A dedicated student services team can help you get assistance with your studies, help with health and wellbeing, and access to financial advice

Confidential counselling and support to help students with personal problems affecting their studies and general wellbeing

Support for students with differing needs from the Disability advice and guidance team. They can identify and recommend appropriate support provisions for you.

The academic staff in the Department are fantastic and their doors are all open if you want to go and talk to them.

Kate Johnson, MMath (Hons) Mathematics

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Careers and employability

A degree in mathematics provides access to an almost limitless range of rewarding career paths. As a graduate with a mathematics degree from the University of Liverpool, you’ll have an extremely valuable set of analytical and critical thinking skills that employers value, enabling you to pursue careers in almost any field.

Graduates with a mathematics-based degree are in high demand across a broad spectrum of industries, thanks to their expertise in quantitative analysis, problem-solving, and mathematical modelling. Some of the key career paths include:

Data Science and Analytics: Mathematics graduates are well-equipped to work as data scientists, data analysts, or business analysts. Their skills in statistical modelling, machine learning, and data interpretation are highly sought after in sectors like finance, healthcare, and tech

Engineering and Technology: Mathematics graduates can work in engineering roles, including systems engineering, computational modelling, and simulation. They may also contribute to software development, particularly in fields that require complex algorithms, like AI and cybersecurity

Operations Research and Logistics: Companies in manufacturing, transportation, and supply chain management often hire mathematics graduates to optimise processes, improve efficiency, and reduce costs. Roles include operations research analyst, supply chain planner, and logistics coordinator

Healthcare and Biostatistics: Mathematics is increasingly used in medical research, epidemiology, and healthcare analytics. Careers may include a biostatistician, a health data analyst, or a mathematical modeller in disease forecasting.

The versatility of a mathematics-based degree allows graduates to enter nearly any sector that requires mathematical modelling, statistical analysis, and algorithmic problem-solving. The growing demand for data-driven decision-making in today’s world ensures that career prospects remain strong, with opportunities for advancement and specialisation across fields.

87.5% of mathematical sciences graduates go on to work or further study within 15 months of graduation.

(Discover Uni, 2018-19)

Meet our alumni

Hear what graduates say about their career progression and life after university.

Nicky Moore, BSc (Hons) Mathematics and Statistics

Read about why Nicky chose to study at Liverpool and the career path she has chosen.

Read this story

My qualifications are from United Kingdom.

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Fees and funding

Your tuition fees, funding your studies, and other costs to consider.

Tuition fees

UK fees (applies to Channel Islands, Isle of Man and Republic of Ireland)

Full-time place, per year - £10,050

Year in industry fee - £2,010

Year abroad fee - £1,505 (applies to year in China)

International fees

Full-time place, per year - £32,000

Year in industry fee - £1,955

Year abroad fee - £16,000 (applies to year in China)

The UK fees shown are for the academic year 2027/28. The international fees shown are for the academic year 2026/27 and will be subject for change for the academic year 2027/28. Please be advised that tuition fees may increase each year for both UK and international students. For UK students, this will be subject to the government’s regulated fee limits.

Tuition fees cover the cost of your teaching and assessment, operating facilities such as libraries, IT equipment, and access to academic and personal support. Learn more about paying for your studies.

Additional costs

We understand that budgeting for your time at university is important, and we want to make sure you understand any course-related costs that are not covered by your tuition fee. You can find information on the general and subject-specific costs you could expect to incur on our study costs webpage.

We’re showing the scholarships available to students from United Kingdom.

Scholarships and bursaries

We offer a range of scholarships and bursaries that could help pay your tuition and living expenses.

The Bloomberg Scholarship

4 scholarships are available each year to support undergraduate applicants from socio-economically under-represented backgrounds who permanently reside in the Liverpool City Region. Successful applicants will receive a stipend of £5,000 per year for 3 years. Applications open in August 2026.

Ruth Cannell Scholarship Fund

This scholarship will support undergraduate students from widening participation backgrounds in the Department of Languages, Cultures and Film with their year abroad.

Whiteley Award

This award offers £3,000 per year for a UK undergraduate student from an under-represented background who has successfully completed the Liverpool Scholars or Pathways to Medicine programme.

The Liverpool Bursary

If you’re a UK student joining an undergraduate degree and have a household income below £35,000, you could be eligible for a Liverpool Bursary worth up to £2,000 for each year of undergraduate study.

Asylum Seekers Scholarship

Apply for an Asylum Seekers Scholarship and you could have your tuition fees paid in full and receive help with study costs. You’ll need to have applied for asylum in the UK, or be the dependant of an asylum seeker, and be joining an eligible undergraduate degree.

Care Leavers’ Opportunity Bursary

If you’ve spent 13 or more weeks in Local Authority care since age 14, you could be eligible for a bursary of £3,000 per year of study. You’ll need to be a UK student joining an eligible undergraduate degree and be aged 28 or above on 1 September in the year you start.

Cowrie Foundation Scholarship

Are you a UK student with a Black African or Caribbean heritage and a household income of £25,000 or less? You could be eligible to apply for a Cowrie Foundation Scholarship worth up to £8,000 for each year of undergraduate study.

Estranged Students Bursary

If you’re a UK student identified as estranged by Student Finance England (or the equivalent UK funding body), you could be eligible for a bursary of £1,000 for each year of undergraduate study.

Genesys Life Sciences Scholarship

Joining a School of Biosciences degree and have a household income of less than £25,000? If you’re a UK student, you could apply to receive £4,500 per year for three years of your undergraduate course.

Nolan Scholarships

Do you live in the Liverpool City Region with a household income of £25,000 or less? Did neither of your parents attend University? You could be eligible to apply for a Nolan Scholarship worth £5,000 per year for three years of undergraduate study.

Rigby Enterprise Award

Are you a UK student with a household income of £25,000 or less? If you’ve participated in an eligible outreach programme, you could be eligible to apply for a Rigby Enterprise Award worth £5,000 per year for three years of your undergraduate degree.

ROLABOTIC Scholarship

Are you a UK student with a household income of £26,500 or less? Did neither of your parents attend University? You could be eligible to apply for a ROLABOTIC Scholarship worth £4,500 for each year of your undergraduate degree.

Sport Liverpool Performance Programme

Apply to receive tailored training support to enhance your sporting performance. Our athlete support package includes a range of benefits, from bespoke strength and conditioning training to physiotherapy sessions and one-to-one nutritional advice.

Technetix Broadhurst Engineering Scholarship

Joining a degree in the School of Electrical Engineering, Electronics and Computer Science? If you’re a UK student with household income below £25,000, you could be eligible to apply for £5,000 a year for three years of study. Two awards will be available per academic year.

Young Adult Carer’s (YAC) Bursary

If you’re a young adult and a registered carer in the UK, you might be eligible for a £1,000 bursary for each year of study. You’ll need to be aged 18-25 on 1 September in the year you start your undergraduate degree.

Discover our full range of scholarships and bursaries.

The qualifications and exam results you'll need to apply for this course.

Qualification

A levels

including Mathematics A level at grade A and Physics A level at grade B.

Applicants with the Extended Project Qualification (EPQ) are eligible for a reduction in grade requirements. For this course, the offer is ABC from A levels, with A in the EPQ.

You may automatically qualify for reduced entry requirements through our contextual offers scheme. Based on your personal circumstances, you may automatically qualify for up to a two-grade reduction in the entry requirements needed for this course. When you apply, we consider a range of factors – such as where you live – to assess if you’re eligible for a grade reduction. You don’t have to make an application for a grade reduction – we’ll do all the work.

Find out more about how we make reduced grade offers.

4/C in English and 4/C in Mathematics

Subject requirements

Applicants must have studied Mathematics at Level 3 within 2 years of the start date of their course.

For applicants from England: For science A levels that include the separately graded practical endorsement, a "Pass" is required.

BTEC Level 3 Diploma

D*DD in relevant diploma, when combined with A Level Mathematics grade A.

BTEC Level 3 National Extended Diploma

International Baccalaureate

32 points overall with no score less than 4 including 6 in HL Mathematics and 5 in HL Physics, or pass the IB Diploma plus 6,5,5 in three HL subjects (including 6 in HL Mathematics and 5 in HL Physics).

Irish Leaving Certificate

H1, H2, H2, H2, H3, H3 including H1 in Mathematics and H2 in Physics

Scottish Higher/Advanced Higher

Advanced Highers accepted at grades ABB including grade A in Mathematics. Relevant language required for advanced level.

Welsh Baccalaureate Advanced

B in the Welsh Baccalaureate, plus A level Mathematics at grade A and A level Physics at grade B.

Pass Access to HE Diploma in a relevant subject with 45 Level 3 credits, with 33 at Distinction (including 15 credits in Mathematics and 15 credits in Physics) and 12 at Merit.

International qualifications

Select your country or region to view specific entry requirements.

If you hold a bachelor’s degree or equivalent, but don’t meet our entry requirements, you could be eligible for a Pre-Master’s course. This is offered on campus at the University of Liverpool International College, in partnership with Kaplan International Pathways. It’s a specialist preparation course for postgraduate study, and when you pass the Pre-Master’s at the required level with good attendance, you’re guaranteed entry to a University of Liverpool master’s degree.

Alternative entry requirements

If your qualification isn't listed here, or you're taking a combination of qualifications, contact us for advice

Applications from mature students are welcome.

English language requirements

You'll need to demonstrate competence in the use of English language, unless you’re from a

majority English speaking country.

We accept a variety of

international language tests

and country-specific qualifications.

International applicants who do not meet the minimum required standard of English language can complete one of our Pre-Sessional English courses to achieve the required level.

6.0 overall, with no component below 5.5

TOEFL iBT

If you took a TOEFL test on or before 20 January 2026, you’ll need 78 overall, with minimum scores of listening 17, writing 17, reading 17 and speaking 19. If you took a TOEFL test from 21 January 2026 onwards, when a new scoring system was introduced, you’ll need 4 overall, with 4 or above in all components. TOEFL Home Edition not accepted.

Duolingo English Test

115 overall, with speaking, reading and writing not less than 105, and listening not below 100

Pearson PTE Academic

59 overall, with no component below 59

LanguageCert Academic

65 overall, with no skill below 60

Cambridge IGCSE First Language English 0500

Grade C overall, with a minimum of grade 2 in speaking and listening. Speaking and listening must be separately endorsed on the certificate.

Cambridge IGCSE First Language English 0990

Grade 4 overall, with Merit in speaking and listening

Cambridge IGCSE Second Language English 0510/0511

0510: Grade C overall, with a minimum of grade 2 in speaking. Speaking must be separately endorsed on the certificate. 0511: Grade C overall.

Cambridge IGCSE Second Language English 0993/0991

0993: Grade 5 overall, with a minimum of grade 2 in speaking. Speaking must be separately endorsed on the certificate. 0991: Grade 5 overall.

Cambridge ESOL Level 2/3 Advanced

169 overall, with no paper below 162

International Baccalaureate English A: Literature or Language & Literature

Grade 4 at Standard Level or grade 4 at Higher Level

International Baccalaureate English B

Grade 6 at Standard Level or grade 5 at Higher Level

Pre-sessional English

Do you need to complete a Pre-sessional English course to meet the English language requirements for this course?

The length of Pre-sessional English course you’ll need to take depends on your current level of English language ability.

Pre-sessional English in detail

If you don’t meet our English language requirements, we can use your most recent IELTS score, or the equivalent score in selected other English language tests, to determine the length of Pre-sessional English course you require.

Use the table below to check the course length you're likely to require for your current English language ability and see whether the course is available on campus or online.

Your most recent IELTS score

Pre-sessional English course length

On campus or online

5.5 overall, with no component below 5.5

5.5 overall, with no component below 5.0

10 weeks

5.0 overall, with no component below 5.0

12 weeks

5.0 overall, with no component below 4.5

20 weeks

On campus

4.5 overall, with no component below 4.5

30 weeks

4.0 overall, with no component below 4.0

40 weeks

If you’ve completed an alternative English language test to IELTS, we may be able to use this to assess your English language ability and determine the Pre-sessional English course length you require.

Please see our guide to Pre-sessional English entry requirements for IELTS 6.0 overall, with no component below 5.5, for further details.

Entry requirements: which qualifications do you need?

Contact us

Have a question about this course or studying with us? Our dedicated enquiries team can help.

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Phone: +44 (0) 151 794 5927

Last updated 22 September 2026 /

See what's changed

Programme terms and conditions

Changes to Mathematical Physics MMath (Hons)

See what updates we've made to this course since it was published. We document changes to information such as course content, entry requirements and how you'll be taught.

22 September 2026: Upcoming modules listed

We’ve listed additional modules that will be added to the course page soon.

4 September 2026: Course content updated for entry 2027

This course has been updated for 2027 entry as part of a review of all our programmes. This review has considered refining study pathways, strengthening links with employers, integrating generative AI, developing students’ research skills, and enhancing alignment with our research strengths. Please note, as at all times, the University reserves the right to make reasonable changes, including to content, entry requirements, or fees, or to discontinue programmes. Applicants will be informed of any significant change.

2 July 2025: Careers info updated

As per SN request RITMO177650. First sentence of careers section updated to: ‘A degree in mathematics provides access to an almost limitless range of rewarding career paths. As a graduate with a mathematics degree from the University of Liverpool, you’ll have an extremely valuable set of analytical and critical thinking skills that employers value, enabling you to pursue careers in almost any field.’

17 June 2025: Mathematical Physics MMath – modules

As per SN request RITM0175796:

PHYS312 added to year three optional modules.

Year four compulsory modules: MATH434 added, MATH420 removed.

3 June 2025: Mathematical Physics MMath – accreditation update

Accreditation from IOP (Institute of Physics) was missing and has been added.

14 January 2025: Mathematical Physics MMath: Duolingo English test requirements

Duolingo English test requirements updated: 115 overall, with speaking, reading and writing not less than 105, and listening not below 100

16 December 2024: Change to Year in Industry information

This course was updated to reflect the fact that an official “Year in Industry” option is not currently available.

7 November 2024: Mathematical Physics MMath – entry requirements

Entry requirements updated for Mathematical Physics MMath to align the criteria with the entry requirements for Physics and Mathematics BSc.

7 December 2022: Module changes

Year 3 optional module list updated – See course page

7 June 2022: New course pages

New course pages launched.

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課程頁官方原文 A levels ABB including Mathematics A level at grade A and Physics A level at grade B. Applicants with the Extended Project Qualification (EPQ) are eligible for a reduction in grade requirements. For this course, the offer is ABC from A levels, with A in the EPQ. You may automatically qualify for reduced entry requirements through our contextual offers scheme. Based on your personal circumstances, you may automatically qualify for up to a two-grade reduction in the entry requirements needed for this course. When you apply, we consider a range of factors – such as where you live – to assess if you’re eligible for a grade reduction. You don’t have to make an application for a grade reduction – we’ll do all the work. Find out more about how we make reduced grade offers. Applicants must have studied Mathematics at Level 3 within 2 years of the start date of their course. For applicants from England: For science A levels that include the separately graded practical endorsement, a "Pass" is required. https://www.liverpool.ac.uk/courses/mathematical-physics-mmath-hons 取得日期：2026-10-02

香港／國際頁官方原文 Hong Kong | Your country/region | International students | University of Liverpool Skip to main content Close Search Find courses, people, research, information and more. Please ignore What types of page to search? All Courses Academic staff News Events Search Popular pages: Undergraduate Postgraduate PhD Accommodation Research International students Alternatively use our A-Z index. Home Menu Menu Search the site International students 歡迎 to applicants from Hong Kong At the University of Liverpool, we have a long history of welcoming international students. Of our 30,000 students, nearly 8,000 are from outside the UK, representing more than 135 countries. You'll soon feel at home as part of our vibrant, diverse and inclusive community. I love how my course has a great support system and wellbeing team to ensure you are okay all the time. Staff are really friendly and the course is very well organised, they make sure your feedback is heard, which is something I really value. Chun Yiu Lee, Medicine and Surgery MBChB Entry requirements You can find details of qualifications from your country below. Some of these qualifications may be accepted as equivalent to our typical academic requirements. For others, we may require you to complete a Foundation Certificate or Pre-Master's course first. You'll also need to check our course pages to view the specific entry requirements, including any additional criteria, for your intended course. If you're wondering what's the difference between an undergraduate degree and a master's, we can help. We've pulled together a guide to the variety of awards and research opportunities we offer, so you can find the type of degree that's right for you. Undergraduate degrees A level equivalent Hong Kong Diploma of Secondary Education (HKDSE) A*AA Successfully complete the HKDSE with grades 5*55 from either 3 electives or 5*5 from 2 electives plus grade 5 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. AAA Successfully complete the HKDSE with grades 555 from either 3 electives or 55 from 2 electives plus grade 5 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. AAB Successfully complete the HKDSE with grades 554 from either 3 electives or 55 from 2 electives plus grade 4 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. ABB Successfully complete the HKDSE with grades 544 from either 3 electives or 54 from 2 electives plus grade 4 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. BBB Successfully complete the HKDSE with grades 444 from either 3 electives or 44 from 2 electives plus grade 4 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. Don't meet our entry requirements for undergraduate? If you have good high school grades but don't meet our entry requirements, don't worry. You could apply for a place on a Foundation Certificate. These courses are delivered on campus at the University of Liverpool International College. Successful completion of a Foundation Certificate, at the required level and with good attendance, will guarantee your place on your chosen University of Liverpool undergraduate degree. Master's courses Qualification Details Academic We require a Bachelor's degree from a recognised institution at a classification of 2:2 or a grade of 2.5/4.0. Some of our courses do require higher entry requirements. See individual course pages for full details. Don’t meet our master’s entry requirements? If you hold a bachelors' degree or equivalent but don't meet our entry requirements, don't worry. You could apply for a place on a Pre-Master's course. These courses are delivered on campus at the University of Liverpool International College. Successful completion of a Pre-Master's, at the required level and with good attendance, will guarantee your place on your chosen University of Liverpool master's degree. Postgraduate research Qualification Details Academic Each application is assessed on its own merits, however students will usually be expected to hold a master's degree in an appropriate discipline. Applications from graduates who do not have master's degrees, but who do have very good undergraduate degrees, and have had previous exposure to research or thesis writing, are also welcomed. English language requirements To study at the University of Liverpool, you'll need to show you meet our English language requirements. We accept a variety of international English language tests and country-specific qualifications you can use to demonstrate your English language ability. We also offer Pre-Sessional English courses if you need to improve your English language skills. English language requirements for your country Hong Kong Certificate of Education Examination (HKCEE) Level Requirements Undergraduate degrees Grade 4 or above for most courses. Grade 5 or above for Medicine and Dentistry. Master's courses Grade 4 or above for most courses. Grade 5 or above for Medicine and Dentistry. Use of English AS level Level Requirements Undergraduate degrees Grade C or above Master's courses Grade C or above Hong Kong Diploma of Secondary Education Level Requirements Undergraduate degrees Grade 5 overall, with no component less than 5, if IELTS 7.0 is required for your intended degree. Grade 4 overall, with no component less than 4, if IELTS 6.5 or less is required for your intended degree. Master's courses Grade 5 overall, with no component less than 5, if IELTS 7.0 is required for your intended degree. Grade 4 overall, with no component less than 4, if IELTS 6.5 or less is required for your intended degree. Tuition fees and living costs Our tuition fees vary depending on your course and your confirmed fee status as either an international or UK (‘home') student. You'll find our tuition fees listed on each course page. You'll also need to budget for covering your living costs while studying with us. This includes your accommodation and travel expenses, such as flights to the UK. Find out more about our tuition fees Scholarships and bursaries We offer a variety of scholarships and bursaries for eligible international students to help make studying at university more affordable. See all of our scholarships How to apply If you've decided to apply to the University of Liverpool, that's great news! Your options for how you apply depend on your intended level of study and whether you want to apply yourself or through an agent. You can: Apply through UCAS for any of our undergraduate degrees Apply through an approved educational advisor, known as an agent, for any of our courses Apply directly to the University of Liverpool for any of our master's courses or postgraduate research degrees. Applying through UCAS You'll need to apply through the Universities and Colleges Admissions Service (UCAS) if you're looking to join an undergraduate degree. Find out more about applying through UCAS Applying through an agent You may wish to use an approved educational advisor, known as an agent, when you apply to study with us. Agents can help you find the right course and assist with your application. They can also provide advice on things like visas, accommodation, scholarships and travel. Our approved agents in your country include: Amber Education Holding Limited AAS Education Consultancy IDP Education British United Education Services Aston Education StudyIn LINKEDU Overseas Education Britannia Study Link Applying directly You can apply online, using our Apply Yourself portal, if you're looking to join a master's course or postgraduate research degree. Find out more about applying for a master's degree Find out more about applying for a postgraduate research degree Culture and community Meet us at our virtual events Join our online events to speak with staff and current students and find out more about our courses, how to apply and your funding options. Visit us in Liverpool Discover our campus and the city of Liverpool for yourself. Attend an open day or arrange a campus tour led by a friendly student guide. Applying for a visa Find out if you need a visa to study in the UK. Our step-by-step guide will take you through every stage of the visa application process. Find a course We’re proud to be rated Gold in the Teaching Excellence Framework (TEF). Explore our range of courses to find the right option for you. Why choose Liverpool? Discover some of the reasons why you should choose Liverpool and join us in the best student city in the UK (StudentCrowd 2023). After you apply Received an offer of a place? We can’t wait to welcome you to Liverpool! Find out what you need to do to prepare to study with us. Your country/region representatives Jay-Louise Fox Deputy Head of International Recruitment (Undergraduate), responsible for recruitment from Hong Kong and Europe Jay-Louise is our Deputy Head of International Recruitment (Undergraduate), responsible for recruitment from Hong Kong and Europe. If you're from Hong Kong and have any queries about studying with us, please don't hesitate to contact Jay-Louise by emailing irro@liverpool.ac.uk. Chat to our students Get in touch Questions about studying with us? We can help. Our live chat is open Monday - Friday, 9am-4pm, and our telephone services are open Monday - Friday, 9am-5pm, UK time. Chat live Call +44 151 7945927 Let us contact you Website footer The Original Redbrick Information for Current students Current staff Prospective students Businesses and partners Researchers Media Study at Liverpool Undergraduate Postgraduate taught Postgraduate research Online courses CPD Continuing education International students Quick links Jobs at Liverpool Library Sport at Liverpool Find a researcher Alumni Our departments and faculties All subjects Contact us University of Liverpool Foundation Building Brownlow Hill Liverpool L69 7ZX Telephone +44 (0) 151 794 2000 Contact us Maps and directions Visit us Part of the Russell Group University of Liverpool on Facebook LivUni on Instagram LivUni on YouTube University of Liverpool on LinkedIn @liverpooluni on TikTok @liverpooluni.bsky.social on Bluesky livuni on Threads https://www.liverpool.ac.uk/international/countries/hongkong.php 取得日期：2026-10-06

UCAS課程完整原文 Mathematics A level at grade A and Physics A level at grade B. Applicants must have studied Mathematics at Level 3 within 2 years of the start date of their course. For applicants studying A levels with English exam boards: Where a science has been taken at A level (Chemistry, Biology, Geology or Physics), a pass in the Science practical of each subject will be required. Some Level 3 qualifications are only acceptable alongside 2 or 3 A levels, please contact us for details. https://www.ucas.com/explore/courses/7646a5db-ecfc-7e39-514d-afbc79e2b392?studyYear=2027 取得日期：2026-11-02

香港／國際頁完整官方原文 Hong Kong | Your country/region | International students | University of Liverpool Skip to main content Close Search Find courses, people, research, information and more. Please ignore What types of page to search? All Courses Academic staff News Events Search Popular pages: Undergraduate Postgraduate PhD Accommodation Research International students Alternatively use our A-Z index. Home Menu Menu Search the site International students 歡迎 to applicants from Hong Kong At the University of Liverpool, we have a long history of welcoming international students. Of our 30,000 students, nearly 8,000 are from outside the UK, representing more than 135 countries. You'll soon feel at home as part of our vibrant, diverse and inclusive community. I love how my course has a great support system and wellbeing team to ensure you are okay all the time. Staff are really friendly and the course is very well organised, they make sure your feedback is heard, which is something I really value. Chun Yiu Lee, Medicine and Surgery MBChB Entry requirements You can find details of qualifications from your country below. Some of these qualifications may be accepted as equivalent to our typical academic requirements. For others, we may require you to complete a Foundation Certificate or Pre-Master's course first. You'll also need to check our course pages to view the specific entry requirements, including any additional criteria, for your intended course. If you're wondering what's the difference between an undergraduate degree and a master's, we can help. We've pulled together a guide to the variety of awards and research opportunities we offer, so you can find the type of degree that's right for you. Undergraduate degrees A level equivalent Hong Kong Diploma of Secondary Education (HKDSE) A*AA Successfully complete the HKDSE with grades 5*55 from either 3 electives or 5*5 from 2 electives plus grade 5 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. AAA Successfully complete the HKDSE with grades 555 from either 3 electives or 55 from 2 electives plus grade 5 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. AAB Successfully complete the HKDSE with grades 554 from either 3 electives or 55 from 2 electives plus grade 4 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. ABB Successfully complete the HKDSE with grades 544 from either 3 electives or 54 from 2 electives plus grade 4 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. BBB Successfully complete the HKDSE with grades 444 from either 3 electives or 44 from 2 electives plus grade 4 from one core subject (excluding Citizenship and Social Development). Minimum grade 3 in core Mathematics and grade 4 (with no component less than 4) in HKDSE English Language are also required. Don't meet our entry requirements for undergraduate? If you have good high school grades but don't meet our entry requirements, don't worry. You could apply for a place on a Foundation Certificate. These courses are delivered on campus at the University of Liverpool International College. Successful completion of a Foundation Certificate, at the required level and with good attendance, will guarantee your place on your chosen University of Liverpool undergraduate degree. Master's courses Qualification Details Academic We require a Bachelor's degree from a recognised institution at a classification of 2:2 or a grade of 2.5/4.0. Some of our courses do require higher entry requirements. See individual course pages for full details. Don’t meet our master’s entry requirements? If you hold a bachelors' degree or equivalent but don't meet our entry requirements, don't worry. You could apply for a place on a Pre-Master's course. These courses are delivered on campus at the University of Liverpool International College. Successful completion of a Pre-Master's, at the required level and with good attendance, will guarantee your place on your chosen University of Liverpool master's degree. Postgraduate research Qualification Details Academic Each application is assessed on its own merits, however students will usually be expected to hold a master's degree in an appropriate discipline. Applications from graduates who do not have master's degrees, but who do have very good undergraduate degrees, and have had previous exposure to research or thesis writing, are also welcomed. English language requirements To study at the University of Liverpool, you'll need to show you meet our English language requirements. We accept a variety of international English language tests and country-specific qualifications you can use to demonstrate your English language ability. We also offer Pre-Sessional English courses if you need to improve your English language skills. English language requirements for your country Hong Kong Certificate of Education Examination (HKCEE) Level Requirements Undergraduate degrees Grade 4 or above for most courses. Grade 5 or above for Medicine and Dentistry. Master's courses Grade 4 or above for most courses. Grade 5 or above for Medicine and Dentistry. Use of English AS level Level Requirements Undergraduate degrees Grade C or above Master's courses Grade C or above Hong Kong Diploma of Secondary Education Level Requirements Undergraduate degrees Grade 5 overall, with no component less than 5, if IELTS 7.0 is required for your intended degree. Grade 4 overall, with no component less than 4, if IELTS 6.5 or less is required for your intended degree. Master's courses Grade 5 overall, with no component less than 5, if IELTS 7.0 is required for your intended degree. Grade 4 overall, with no component less than 4, if IELTS 6.5 or less is required for your intended degree. Tuition fees and living costs Our tuition fees vary depending on your course and your confirmed fee status as either an international or UK (‘home') student. You'll find our tuition fees listed on each course page. You'll also need to budget for covering your living costs while studying with us. This includes your accommodation and travel expenses, such as flights to the UK. Find out more about our tuition fees Scholarships and bursaries We offer a variety of scholarships and bursaries for eligible international students to help make studying at university more affordable. See all of our scholarships How to apply If you've decided to apply to the University of Liverpool, that's great news! Your options for how you apply depend on your intended level of study and whether you want to apply yourself or through an agent. You can: Apply through UCAS for any of our undergraduate degrees Apply through an approved educational advisor, known as an agent, for any of our courses Apply directly to the University of Liverpool for any of our master's courses or postgraduate research degrees. Applying through UCAS You'll need to apply through the Universities and Colleges Admissions Service (UCAS) if you're looking to join an undergraduate degree. Find out more about applying through UCAS Applying through an agent You may wish to use an approved educational advisor, known as an agent, when you apply to study with us. Agents can help you find the right course and assist with your application. They can also provide advice on things like visas, accommodation, scholarships and travel. Our approved agents in your country include: Amber Education Holding Limited AAS Education Consultancy IDP Education British United Education Services Aston Education StudyIn LINKEDU Overseas Education Britannia Study Link Applying directly You can apply online, using our Apply Yourself portal, if you're looking to join a master's course or postgraduate research degree. Find out more about applying for a master's degree Find out more about applying for a postgraduate research degree Culture and community Meet us at our virtual events Join our online events to speak with staff and current students and find out more about our courses, how to apply and your funding options. Visit us in Liverpool Discover our campus and the city of Liverpool for yourself. Attend an open day or arrange a campus tour led by a friendly student guide. Applying for a visa Find out if you need a visa to study in the UK. Our step-by-step guide will take you through every stage of the visa application process. Find a course We’re proud to be rated Gold in the Teaching Excellence Framework (TEF). Explore our range of courses to find the right option for you. Why choose Liverpool? Discover some of the reasons why you should choose Liverpool and join us in the best student city in the UK (StudentCrowd 2023). After you apply Received an offer of a place? We can’t wait to welcome you to Liverpool! Find out what you need to do to prepare to study with us. Your country/region representatives Jay-Louise Fox Deputy Head of International Recruitment (Undergraduate), responsible for recruitment from Hong Kong and Europe Jay-Louise is our Deputy Head of International Recruitment (Undergraduate), responsible for recruitment from Hong Kong and Europe. If you're from Hong Kong and have any queries about studying with us, please don't hesitate to contact Jay-Louise by emailing irro@liverpool.ac.uk. Chat to our students Get in touch Questions about studying with us? We can help. Our live chat is open Monday - Friday, 9am-4pm, and our telephone services are open Monday - Friday, 9am-5pm, UK time. Chat live Call +44 151 7945927 Let us contact you Website footer The Original Redbrick Information for Current students Current staff Prospective students Businesses and partners Researchers Media Study at Liverpool Undergraduate Postgraduate taught Postgraduate research Online courses CPD Continuing education International students Quick links Jobs at Liverpool Library Sport at Liverpool Find a researcher Alumni Our departments and faculties All subjects Contact us University of Liverpool Foundation Building Brownlow Hill Liverpool L69 7ZX Telephone +44 (0) 151 794 2000 Contact us Maps and directions Visit us Part of the Russell Group University of Liverpool on Facebook LivUni on Instagram LivUni on YouTube University of Liverpool on LinkedIn @liverpooluni on TikTok @liverpooluni.bsky.social on Bluesky livuni on Threads https://www.liverpool.ac.uk/international/countries/hongkong.php 取得日期：2026-10-06

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