UCAS code G121
Applied Mathematics at the University of Liverpool will teach you how to think differently about the world around us. You will engage with powerful mathematical concepts that will enhance your problem-solving and critical thinking skills, enabling you to understand complex phenomena across all aspects of the modern world, from physics to engineering, computer science, epidemiology, AI, and machine learning.
Not only is Mathematics a fascinating, beautiful and diverse subject to study, but it also forms the foundation of all modern science. The concepts, methods, and philosophy of Mathematics is critical to understanding the world around us – whether that be climate change, epidemics, financial markets, or unravelling the mysteries of the universe.
Applied Mathematics degree from the University of Liverpool offers a powerful blend of theory and real-world problem solving, preparing you for a wide range of exciting careers. Whether you’re interested in biology, engineering, finance, data science, environmental modelling, computer science, healthcare, or physics, this degree equips you with the mathematical tools and computational skills to tackle complex challenges. You’ll learn how to analyse data, optimize systems, and build models to predict outcomes in a diverse range of fields.
With a strong emphasis on practical applications, an Applied Mathematics degree opens doors to jobs that are in high demand and gives you the flexibility to innovate and make an impact in nearly every industry. Plus, the problem-solving abilities you develop will be invaluable no matter where your career takes you!
You will be taught in a friendly, supportive environment by exceptionally qualified staff, who have first-class reputations in teaching and research, covering a wide range of applications across all areas of science.
This programme also has the options of undertaking a year abroad and a year in industry.
• The fundamental concepts in the core areas of mathematics including analysis, linear algebra, differential equations and statistics.
• How to think differently, reason clearly and critically, and to construct mathematical arguments.
• How to analyse a mathematical problem and select appropriate tools to solve it.
• How to construct and assess mathematical models for real-world problems and use these models to offer unique insights.
• How to communicate and present mathematical information and ideas clearly, both to specialists and non-specialist audiences – an essential skill in any future career.
Discover what you'll learn, what you'll study, and how you'll be taught and assessed.
In year one you will study eight compulsory modules, to learn the fundamentals of a range of mathematical topics
Programme details and modules listed are illustrative only and subject to change.
In year two 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 did study at XJTLU, module MATH241 is compulsory, modules MATH244, MATH221 and MATH242 are not available.
Programme details and modules listed are illustrative only and subject to change.
In year three, you will study five compulsory modules and choose one of the optional modules available. Please note that we regularly review our teaching, so the choice of modules may change.
Programme details and modules listed are illustrative only and subject to change.
You will be taught through a diverse blend of contemporary engaging teaching methods, including lectures, tutorials, practical classes, problem classes, workshops, 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 one, lectures are supplemented by a thorough system of small-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 and critical thinking skills, which are regarded very highly by employers.
The main modes of assessment are examination and coursework. Most Maths modules are assessed by a two-and-a-half-hour examination at the end of the semester, 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.
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. Choose to spend a year at XJTLU in China or a year or semester at an institution of your choice.
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.
Take a semester of your second year of study at one of our worldwide partner institutions.
Year in industry placements give you an in-depth workplace experience where you can develop your skills and apply your learning.
You don't need to decide now - you can choose to add a year in industry after you've begun your degree.
To spend a year in industry, you'll need to secure a placement with an organisation. If you're unable to find a placement, you'll continue with the standard version of the course without a year in industry.
Students studying Applied Mathematics BSc at XJTLU can study this course at the University of Liverpool. Read more about Applied 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.
Studying 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.
Your course will be delivered by the Department of Mathematical Sciences.
From arrival to alumni, we’re with you all the way:
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 an applied mathematics 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: Applied 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: Applied 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 applied mathematics graduates to optimize processes, improve efficiency, and reduce costs. Roles include operations research analyst, supply chain planner, and logistics coordinator.
• Healthcare and Biostatistics: Applied mathematics is increasingly used in medical research, epidemiology, and healthcare analytics. Careers may include biostatistician, health data analyst, or mathematical modeler in disease forecasting.
The versatility of an applied mathematics 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 specialization 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 in industry fee - £1,905
Year abroad fee - £1,430 (applies to year in China)
Full-time place, per year - £26,600
Year in industry fee - £1,905
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.
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.
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. 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 |
| 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 |
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 20 January 2025 / / Programme terms and conditions