UCAS code G100
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.
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.
Both accreditations can be achieved on a conditional basis. Accreditations depend on your choice and your performance on optional modules.
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.
The RSS is a professional body for all statisticians and data analysts - www.rss.org.uk.
Discover what you'll learn, what you'll study, and how you'll be taught and assessed.
In year one you will study a range of compulsory modules.
Programme details and modules listed are illustrative only and subject to change.
In year 2, you will continue to study a range of important mathematical topics in more depth. You will study some compulsory and choose 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 studied at XJTLU, module MATH241 is compulsory; modules MATH244, MATH221, and MATH242 are not available.
During year 2, 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:
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.
Programme details and modules listed are illustrative only and subject to change.
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.
Programme details and modules listed are illustrative only and subject to change.
You will 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.
In year 1, lectures are supplemented by a thorough system of small-group tutorials; computing work is carried out in supervised practical classes. Key study skills, presentation skills and group work start in the first year and are developed later in the programme. The emphasis in most modules is on the development of problem-solving and critical thinking skills, which are regarded very highly by employers.
Each module has an assessment scheme tailored to fit its syllabus. This might include traditional written exams, class tests, assignments, projects, group work, or online exercises with automatic marking and immediate feedback.
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:
Our curriculum is characterised by the three Liverpool Hallmarks:
All this is underpinned by our core value of inclusivity and commitment to providing a curriculum that is accessible to all students.
Studying with us means you can tailor your degree to suit you. Here's what is available on this course.
University of Liverpool students can choose from an exciting range of study placements at partner universities worldwide.
Immerse yourself in Chinese culture on an optional additional year at Xi'an Jiaotong Liverpool University in stunning Suzhou.
Broaden your world by spending an additional year of study at a partner university abroad following your second year of study.
Spend a summer abroad on a study placement or research project at one of our worldwide partner institutions.
Every student at The University of Liverpool can study a language as part of, or alongside their degree. You can choose:
This course is also available as a four year MMath programme.
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.
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.
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.
Want to find out more about student life?
Chat with our student ambassadors and ask any questions you have.
A degree in applied mathematics provides access to an almost limitless range of rewarding career paths. As a graduate with an applied 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:
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.
Hear what graduates say about their career progression and life after university.
Read about the path Lydia took at Liverpool and the skills she highlights as being important to employers.
Your tuition fees, funding your studies, and other costs to consider.
Full-time place, per year - £9,535
Year abroad fee - £1,430 (applies to year in China)
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.
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.
We offer a range of scholarships and bursaries that could help pay your tuition and living expenses.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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. |
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. |
| Duolingo English Test | 115 overall, with speaking, reading and writing not less than 105, and listening not below 100. For academic year 2025/26 only, we will also accept the production, literacy, comprehension and conversation score set: 105 overall, with no component below 95. |
| 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 |
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.
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.
Have a question about this course or studying with us? Our dedicated enquiries team can help.
Last updated 24 June 2025 / / Programme terms and conditions