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Qualification type
BSc (Hons)

Mathematics

UCAS code G100

Entry requirements
A level: ABB
View full requirements
Study mode
Full-time
Duration
3 years
Start date and application deadlines
Start date
September 2025
Apply by:
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We've set the country or region your qualifications are from as United Kingdom.

How to apply

Although the UCAS equal consideration date has now passed, many of our courses are still accepting applications from UK students for 2025 entry through UCAS.

The deadline for international students is 30 June 2025.

Combine this subject

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

  • Choose from 30 subjects and over 300 combinations
  • Choose joint or major minor subjects
  • Adjust the weight of your subjects at the end of your first year
  • Same number of credits as single honours students
  • Same classes as single honours students
  • Appeal to a wide range of employers

Explore combined degrees for Mathematics courses

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About this course

Studying Mathematics at Liverpool is an excellent foundation for a wide range of careers. At Liverpool you will be part of a department which is first-class in teaching and research.


Introduction

Mathematics is a fascinating, beautiful and diverse subject to study. It underpins a wide range of disciplines; from physical sciences to social science, from biology to business and finance. At Liverpool, our programmes are designed with the needs of employers in mind, to give you a solid foundation from which you may take your career in any number of directions.

A Mathematics degree at the University of Liverpool is an excellent investment in your future. We have a large department with highly qualified staff, a first-class reputation in teaching and research, and a great city in which to live and work. You will see a broad range of degree programmes at Liverpool – Mathematics can be combined with many other subjects to widen your options even further.

In the first two years of this programme, you will study a range of topics covering important areas of both pure and applied mathematics, no assumptions are made about whether or not you have previously studied mechanics or statistics, or have previous experience of the use of computers. The modules studied in year one help to get all students at the same level, studying fundamental ideas and reinforcing A level work.

This programme also has a year abroad option, an incredible opportunity to spend an academic year at one of our partner universities.


What you'll learn

  • Pure mathematics
  • Applied mathematics
  • Problem solving
  • Team work
  • How to communicate and present clearly

Accreditation

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) logo

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.

Royal Statistical Society

The RSS is a professional body for all statisticians and data analysts - www.rss.org.uk.

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We’re proud to announce we’ve been awarded a Gold rating for educational excellence.


Course content

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

Year one
Year two

In the second and following years of study, there is a wide range of modules. In year two, you will choose some compulsory and some optional modules from the list below. Please note that we regularly review our teaching so the choice of modules may change.

For students who did not study at XJTLU, modules MATH244 and MATH221 are compulsory, module MATH242 is optional, module MATH241 is not available. For students who did study at XJTLU, module MATH241 is compulsory, modules MATH244, MATH221 and MATH242 are not available.

Towards the end of Year 2 Semester 1, you will be asked to choose one of the following 4 pathways: Applied Mathematics (AM), Pure Mathematics (PM), Stochastics, Probability and Operational Research (SPOR) or Theoretical Physics (TP). Each pathway is a coherent collection of modules which cover a particular area of mathematics.

It will be important to consider which pathways you might be interested in following in year 3, when making your year 2 module choices. In particular, you should
ensure that you have the necessary prerequisites:
Applied Mathematics Pathway: MATH226 is recommended, further suitable modules include MATH228.
Pure Mathematics Pathway: MATH247 is strongly recommended, MATH242 is recommended.
Statistics, Probability and Operational Research Pathway: MATH254 is compulsory, MATH269 is recommended, further suitable modules include MATH226, MATH242 and MATH260.
Theoretical Physics Pathway: MATH228 is compulsory.

Year three

In year three, you will choose some compulsory and some optional modules from the list below. Please note that we regularly review our teaching so the choice of modules may change.

Depending on the chosen pathway, the following modules are compulsory:
Applied Mathematics: MATH323, MATH324, MATH335.
Pure Mathematics: MATH342, MATH343, MATH349.
Statistics, Probability and Operational Research: MATH360, MATH362, MATH363.
Theoretical Physics: MATH323, MATH325, MATH326.

Teaching and assessment

How you'll learn

Your learning activities will consist of lectures, tutorials, practical classes, problem classes, private study and supervised project work.

In year one, lectures are supplemented by a thorough system of group tutorials and computing work is carried out in supervised practical classes. Key study skills, presentation skills and group work start in first-year tutorials and are developed later in the programme. The emphasis in most modules is on the development of problem solving skills, which are regarded very highly by employers.

Project supervision is on a one-to-one basis, apart from group projects in year two.

How you're assessed

Most modules are assessed by a two and a half hour examination in January or May, but many have an element of coursework assessment. This might be through homework, class tests, mini-project work or key skills exercises. You will be taught by internationally recognised experts within a friendly department.

Liverpool Hallmarks

We have a distinctive approach to education, the Liverpool Curriculum Framework, which focuses on research-connected teaching, active learning, and authentic assessment to ensure our students graduate as digitally fluent and confident global citizens.

The Liverpool Curriculum framework sets out our distinctive approach to education. Our teaching staff support our students to develop academic knowledge, skills, and understanding alongside our graduate attributes:

  • Digital fluency
  • Confidence
  • Global citizenship

Our curriculum is characterised by the three Liverpool Hallmarks:

  • Research-connected teaching
  • Active learning
  • Authentic assessment

All this is underpinned by our core value of inclusivity and commitment to providing a curriculum that is accessible to all students.

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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?

  • Australia
  • Canada
  • Hong Kong
  • Malaysia
  • Singapore
  • South Korea
  • USA

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?

  • Hong Kong
  • Japan
  • South Korea

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

Study as a master's degree

This course is also available as a four year MMath programme.

View Mathematics MMath

Study as part of XJTLU 2+2

Students studying Applied Mathematics BSc at XJTLU can study this course at the University of Liverpool. Read more about Mathematics BSc (Hons) as part of the 2+2 programme .

The natural next step for ambitious XJTLU students who want to build a brilliant career.

  • Spend two years at the University of Liverpool campus
  • Improve your prospects of progressing to postgraduate study at a top 100 university
  • Receive two degrees: one from XJTLU, one from the University of Liverpool
  • Get support with visas, accommodation and your career.

Read more about the 2+2 programme

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Your experience

We have a large department with highly qualified staff, a first-class reputation in teaching and research, and a great city in which to live and work.

Your course will be delivered by the Department of Mathematical Sciences.

Explore where you'll study

Mathematical Sciences student sitting and working at a computer
Mathematical Sciences student
Mathematical Sciences Student writing equations
Learn
Picture by Gareth Jones
Picture by Gareth Jones
Picture by Gareth Jones
Photograph of the Victoria Gallery and Museum from across University Square
Victoria Gallery and Museum
Watch on Panopto: Meet Kate: studying Maths at Liverpool

Meet Kate: studying Maths at Liverpool

Virtual tour

Supporting your learning

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

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 Mathematics
Two students chatting while walking through campus.

Chat with our students

Want to find out more about student life?
Chat with our student ambassadors and ask any questions you have.

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Careers and employability

A mathematically-based degree opens up a wide range of career opportunities, including some of the most lucrative professions as employers value mathematicians’ high level of numeracy and problem solving skills.

Typical types of work our graduates have gone onto include:

  • actuarial trainee analyst in the audit practice
  • graduate management trainee risk analyst
  • trainee chartered accountant on a graduate business programme.

Recent employers of our graduates include:

  • Aston University
  • Deloitte
  • EuroMoney Training
  • Norwich Union
  • Venture Marketing Group
  • Wolsley Group
employment

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.

Careers Coach and student looking at information on a laptop

Lydia Dutton, MMath Mathematics 2016

Read about the path Lydia took at Liverpool and the skills she highlights as being important to employers.

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My qualifications are from United Kingdom.

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 - £9,535
Year abroad fee - £1,430 (applies to year in China)

International fees

Full-time place, per year - £26,600
Year abroad fee - £13,300 (applies to year in China)

The tuition fees shown are correct for 2025/26 entry. Please note that the year abroad fee also applies to the year in China.

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

Your tuition fee covers almost everything but you may have additional study costs to consider, such as books.

Find out more about the additional study costs that may apply to this course.


Scholarships and bursaries

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

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 £25,000 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.

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My qualifications are from United Kingdom.

Entry requirements

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

Qualification Details
A levels

ABB including Mathematics A level grade A.

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

If you don't meet the entry requirements, you may be able to complete a foundation year which would allow you to progress to this course.

Available foundation years:

T levels

T levels are not currently accepted.

GCSE

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 National Extended Diploma

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

International Baccalaureate

33 including 6 in Higher Mathematics.

Irish Leaving Certificate H1, H2, H2, H2, H3, H3 including Mathematics at H1.
Scottish Higher/Advanced Higher

Advanced Highers accepted at grades ABB including grade A in Mathematics.

Welsh Baccalaureate Advanced Acceptable at grade B or above alongside AB at A level including grade A in Mathematics.
Access Access - 45 Level 3 credits in graded units in a relevant Diploma, including 39 at Distinction and a further 6 with at least Merit. 15 Distinctions are required in Mathematics.
International qualifications

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.


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.

Qualification Details
IELTS 6.0 overall, with no component below 5.5
TOEFL iBT 78 overall, with minimum scores of listening 17, writing 17, reading 17 and speaking 19. TOEFL Home Edition not accepted.
TOEFL Paper Grade 6 at Standard Level or grade 5 at Higher Level
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
LanguageCert Grade 4 at Standard Level or grade 4 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 6 weeks On campus
5.5 overall, with no component below 5.0 10 weeks On campus and online options available
5.0 overall, with no component below 5.0 12 weeks On campus and online options available
5.0 overall, with no component below 4.5 20 weeks On campus
4.5 overall, with no component below 4.5 30 weeks On campus
4.0 overall, with no component below 4.0 40 weeks On campus

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.


Alternative entry requirements

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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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Last updated 11 November 2024 / / Programme terms and conditions

Changes to Mathematics BSc (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.

14 January 2025: Mathematics BSc: 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.

4 November 2024: Mathematics BSc (Hons) – XTJLU 2+2 modules

Updates to modules for XTJLU 2+2 programme, Year Two:

  • Removed Math242
  • Changed Math241 from optional to compulsory
  • Added Math226 and Math291 as optional modules.
7 December 2022: Module changes

Year 3 optional module list updated – See course page

6 December 2022: Module changes

Compulsory module list updated

 

Y2 compulsory modules

Removed – MATH266: Numerical Methods for Applied Mathematics

Added – MATH226: Numerical Methods for Applied Mathematics

 

Year 3 optional module list updated – See course page

7 June 2022: New course pages

New course pages launched.