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Imperial College London · Undergraduate
BSc (Hons) Mathematics (Pure Mathematics) Bachelor's degree at Imperial College London
BSc (Hons) Mathematics (Pure Mathematics) at Imperial College London. Mathematics at Imperial College London is built to give you a broad grounding in mathematical theory before letting you go deep into pure mathematics specifically.
BSc (Hons)
Award
3
Years
Full-time
Study mode
89%
in work/study (15m)
About this course
Develop a broad understanding of mathematical theory and gain in-depth knowledge of pure mathematics. From the provider’s course page.
BSc (Hons) Mathematics (Pure Mathematics) is a Bachelor's degree (BSc (Hons)) at Imperial College London, based in South Kensington. It runs 3 years, studied full-time.
For Mathematical sciences graduates from this provider, 89% were in work or further study 15 months after graduating, 95% in highly skilled roles, typical earnings around £52,000. (HESA Graduate Outcomes / LEO, via Discover Uni.)
For the typical curriculum, specialisations, career paths and graduate earnings for Mathematics, see the sections below.
Course evidence score
The arithmetic mean of the official measures available for this course: NSS satisfaction, graduate activity and continuation.
9.1
/ 10
Exceptional
3 of 3 official measures
Student satisfaction
What students say in the National Student Survey
Excellent88
Published threshold met NSS publication requires sufficient responses; small differences are not a rank. NSS mean of 7 published themes (Discover Uni snapshot 2026-06-21)
Graduate outcomes
In work or further study 15 months after graduating
Excellent89
Moderate evidence Published sample: 35; avoid reading small differences as meaningful. Cohort 2022-23. Graduate Outcomes work or further study 89% (2022-23; Discover Uni snapshot 2026-06-21)
Continuation
Students who continue past their first year
Exceptional95
Published threshold met Discover Uni suppresses continuation data below its publication threshold. Cohort 2021-23. Continuation 95% (2021-23; Discover Uni snapshot 2026-06-21)
Curriculum & modules
Real modules published for this course, grouped only where the source gives a year, stage or level.
Year 1 8 modules
- Introduction to University MathematicsCore
Module details
Transition towards the way you will be expected to think about and approach mathematics during your degree, with emphasis on the importance of precise definitions and rigorous proofs.
- Analysis 1Core
Module details
Undertake a rigorous treatment of the concept of a limit, as applied to sequences, series and functions.
- Linear Algebra and GroupsCore
Module details
Generalise what you already know about systems of linear equations and matrices and view them in more abstract, and more geometric, frameworks of vector spaces and linear transformations.
- Calculus and ApplicationsCore
Module details
Explore a selection of mathematical tools that will enable you to solve more complex problems in applied mathematics than you will have tackled previously.
- Probability and StatisticsCore
Module details
Focus on probability concepts, within an axiomatic framework. There will be a strong emphasis on principles of modelling and data analysis and you will learn to use the formal language of probability.
- Introduction to ComputationCore
Module details
Gain knowledge of programming in Python through illustrative examples, practice questions and assessment tasks, guided by computational principles and their underlying mathematical concepts.
- An Introduction to Applied MathematicsCore
Module details
Identify how mathematical ideas can be used to underpin a range of scientific problems and familiarise yourself with a mathematical framework that embraces multiple disciplines from engineering to economics and statistics.
- Individual Research ProjectCore
Module details
Develop elementary research skills in mathematics while exploring your personal interests in a specific area of mathematics.
Year 2 11 modules
- Analysis 2Core
Module details
Explore higher-dimensional derivatives, leading to the inverse and implicit function theorems, alongside metric and topological spaces as generalisations of n dimensional spaces, and limiting behaviour of sequences in such spaces.
- Group Research ProjectCore
Module details
Further your mathematical research and communication skills while developing transferable teamwork and presentation skills.
- Groups and RingsCore
Module details
Study examples of groups and homomorphisms, along with applications of group theory and rings, a class of algebraic object equipped with both addition and multiplication.
- Lebesgue Measure and IntegrationCore
Module details
Explore Lebesgue's theory of measure and integration, a powerful extension of the Riemann integral and an essential tool in all aspects of analysis and its applications, including probability, stochastic processes and PDEs.
- Linear Algebra and Numerical AnalysisCore
Module details
Examine how to find matrices for a linear transformation which reflect its important features, culminating in the rational and Jordan canonical forms, and prove the fundamental Cayley-Hamilton Theorem.
- Multi-variable Calculus and Differential EquationsCore
Module details
Gain an understanding of advanced topics in calculus and ordinary differential equations, including an introduction to multi-dimensional vector calculus and differential operators.
- Partial Differential Equations in ActionOptional
Module details
Learn about partial differential equations and the concept of modelling in applied mathematics, with a focus on practical application.
- Principles of ProgrammingOptional
Module details
Build a core of programming skills beyond those encountered in your first year through the object-oriented programming model, which is very widely used and taught in Python.
- Probability for StatisticsOptional
Module details
Investigate probability concepts that are useful in applications, particularly to statistics, focusing on the joint behaviour of several random variables.
- Statistical Modelling 1Optional
Module details
Develop the traditional concepts of statistical inference, including maximum likelihood, hypothesis testing and interval estimation and apply them to the linear model that arises in many practical situations.
- Classical MechanicsOptional
Module details
Explore how variational principles can be applied to classical mechanics to develop methods that can be applied to an array of problems ranging from the double pendulum to the motion of relativistic particles.
Year 3 13 modules
- Algebra 3Optional
- Algebraic CombinatoricsOptional
- Algebraic Number TheoryOptional
- Algebraic TopologyOptional
- Functional AnalysisOptional
- Galois TheoryOptional
- Geometric Complex AnalysisOptional
- Group Representation TheoryOptional
- Group TheoryOptional
- Markov ProcessesOptional
- Mathematical LogicOptional
- Number TheoryOptional
- Probability TheoryOptional
Source: provider course page. Modules can change; required/optional status, credits, descriptions and assessment are shown only when explicitly published.
Course in depth
What this course covers, who it suits and where it leads.
What you'll study
The course moves from core theory through to increasingly specialised and independent work. You'll build a grounding in core theory before progressing to research & methods, where you start engaging with how mathematical knowledge is actually produced and tested. Alongside this, applied practice gives you the chance to see how pure mathematical ideas connect to problems beyond pure abstraction, while specialist options let you steer your studies towards the areas of pure mathematics that interest you most, such as algebra, analysis, number theory or topology, depending on what's offered in a given year. A significant part of the later stages is an independent project, where you take ownership of a substantial piece of mathematical work from start to finish, and professional skills are woven through the course to help you communicate mathematics clearly, both in writing and in person, a skill that matters as much in research as in industry.
Who it's for
This course suits someone who enjoys the logical puzzle of mathematics as much as, if not more than, its practical uses, someone who finds satisfaction in constructing a watertight proof or unpicking why a theorem holds rather than simply applying a formula. You'll likely have found A-level (or equivalent) mathematics one of the subjects where you wanted to push further than the syllabus asked of you, and you're comfortable with abstraction and sustained, careful reasoning. Expect the experience to feel intellectually demanding in a slow-burn way: some weeks you'll be turning an idea over for days before it clicks, and that patience is part of the appeal rather than a barrier to it. Most students admitted have typically achieved UCAS tariff scores in the 208–223 range, and the large majority arrive with A-levels or equivalent qualifications, though this describes recent entrants rather than a fixed requirement. If you're someone who wants a degree that trains you to think with precision and rigour, and you're happy to sit with difficult problems rather than needing quick answers, this kind of course tends to suit that temperament well.
Careers & job market
Nationally, across Mathematics courses, 89% of graduates are in work or further study 15 months after finishing their degree, and 75% of those in work are in roles or further study classed as highly skilled. These figures relate to Mathematics graduates across the UK rather than to this specific course or university, but they give a sense of the destinations mathematics graduates typically reach. National earnings data (Graduate Outcomes/LEO) show starting salaries in the region of £27,000–£34,000 fifteen months after graduation, rising to roughly £25,925–£36,600 after three years and £32,300–£45,600 after five years, again, these are national figures for the discipline as a whole, not a promise of what any individual graduate will earn. Continuation into a second year of study nationally sits at 89%, suggesting most students who start a mathematics degree stay the course. A pure mathematics specialism can lead towards further postgraduate study, research, teaching, finance, data-driven roles, or any field where rigorous analytical thinking is valued, though the specific path depends heavily on the options and project chosen during the degree.
University & format
Imperial College London is a public, research-intensive university and a member of the Russell Group, founded in 1907 and based at its South Kensington campus for this course, with a total student body of around 17,565. The BSc (Hons) Mathematics (Pure Mathematics) is studied full-time over three years, taught in English, and leads to a Bachelor's degree with Honours. The university holds a Gold rating in the TEF 2023 for teaching quality and was, and as a recognised UK degree-awarding body, the qualification you receive is nationally recognised.
Student satisfaction
How students on this course answered the National Student Survey, by theme.
Share of students responding positively.
Published threshold met NSS publication requires sufficient responses; small differences are not a rank. NSS mean of 7 published themes (Discover Uni snapshot 2026-06-21)
Applicant information
The next application dates for this course, followed by facts the provider publishes.
Application timelineWhat happens next
- 2027 entryCompleted applications can be submitted
Your application needs a reference before you can send it.
- 2026 entryFinal date for 2026 applications
Applications must reach UCAS by 18:00 UK time.
- 2026 entryLast day to add a Clearing choice
Check that this course still has a vacancy before adding it.
- 2027 entryEqual-consideration deadline
18:00 UK time for most undergraduate courses.
Show 5 later dates
- 2027 entryUCAS Extra opens
Applicants who used all five choices and hold no offer may be able to add another choice.
- 2027 entryLast day applications go directly to providers
Applications received after 18:00 UK time are entered into Clearing.
- 2027 entryClearing opens
Eligible applicants can see vacancies and release themselves into Clearing.
- 2027 entryFinal date for 2027 applications
Applications must reach UCAS by 18:00 UK time.
- 2027 entryLast day to add a Clearing choice
Check that this course still has a vacancy before adding it.
Open daysFind out more about our September Open Days
See and book current events. Dates can fill or change.
Entry & how to get in
Typical offer (from the provider)The university’s course page lists a typical A-level offer of A*A*A. Always check the provider for the current offer and subject requirements.
Most entrants held A-levels or equivalent80% of accepted students came in with A-levels or equivalent (entrants over recent years).
Typical UCAS tariff: 208 - 223 pointsThe most common UCAS tariff band among accepted students. This is what entrants had, not a stated requirement.
Entry requirements are set by the universityGrades, subjects and contextual offers vary. Check Imperial College London's official course page for the current offer.
Who gets in
What recently admitted students actually held, official admissions data, not a stated requirement.
UCAS tariff of entrants
Grades are the A-level equivalent of each points band. Tap a band to check your own chances below.
Qualifications held on entry
| Qualification | Share |
|---|---|
| A-levels or equivalent | 80% |
| Other | 20% |
Entry & your chances
An honest read from the official entry data, plus your personal match.
Competitive entry
Accepted students typically held strong UCAS tariffs. Check how your predicted grades compare and whether a contextual offer applies.
Will you get in? Plot your grades
Pick your predicted A-levels and watch your UCAS points land on the real spread of students admitted to this course.
Your UCAS points0
▾
Each bar is the share of admitted students in that UCAS-points band (lower → higher). Grades show the A-level equivalent.
Add your grades to see where you land
Based on the official admitted-student tariff distribution. Many universities make contextual (reduced-grade) offers, so a result below the range doesn’t rule you out.
How to apply
Undergraduate applications go through UCAS. Here’s what matters for this course, the right deadline, the grades to aim for, and the steps in order.
Apply by13 January 2027, 18:00 UK timefor this course
Typical gradesA*A*A*+A-level equivalent admitted students held
- 1Register on UCAS Hub
Create your UCAS application and add this course. One application covers up to five choices.
- 2Write your personal statement
A single statement covers all your choices, so keep it broad enough for similar courses while showing genuine interest in this subject.
- 3Submit by 13 January 2027, 18:00 UK time
UCAS equal-consideration deadline for most undergraduate courses. Source: UCAS 2027 dates.
- 4Reply to your offers
When decisions are in, pick a firm (first) choice and an insurance (back-up) choice with slightly lower grades.
- 5Results day & confirmation
On results day (mid-August) your place is confirmed if you meet the offer. Just missed? Talk to the university, or find a place through Clearing.
💡 Many universities make a contextual (reduced-grade) offer, for example based on your school’s results, time in care, or where you live. Ask Imperial College London whether you’re eligible before you apply; it can lower the grades you need.
Fees & funding
What this course costs and how UK student finance covers it.
Tuition per year
Homeup to £9,790 / yr
Internationalset by the university
Standard capped home fee at English providers (2026/27); Scotland, Wales & NI differ.
Check fees at Imperial College London →For students who normally live in England
illustrative Maintenance Loan per year
£9,790tuition used per year, illustrative full-time England fee-cap scenario
illustrative borrowing over 3 years
2026/27 Student Finance England figures. Maintenance support is means-tested and this two-point view is not an entitlement calculator. The course total uses its published length and home fee where both are available; a missing full-time fee uses the clearly labelled England-cap scenario, while part-time fees and unknown lengths are never guessed. Use the official calculator. Scotland, Wales and Northern Ireland use separate systems: SAAS, Student Finance Wales, and Student Finance NI.
Starting on or after 1 January 2027?
The Lifelong Learning Entitlement is a separate system. A new learner’s tuition entitlement is currently stated as £39,160 (about 480 credits at 2026/27 fee levels), subject to prior study and eligibility. Check the official LLE guide.
Paying for it
- Tuition Fee Loan: can cover eligible tuition up to the applicable limit and is paid straight to the provider.
- Maintenance Loan: up to £10,830/yr away from home outside London (England, 2026/27), means-tested on household income.
- Repayment: 9% of income above £25,000, nothing below it; written off after 40 years.
- Earn alongside: most students work part-time in term, part-time roles on the StudySmarter job board.
England figures shown; Scotland, Wales & NI run their own schemes, check gov.uk.
Funding matched to this course
All Imperial College London funding →Scholarships & bursaries you could qualify for
Named awards published by the university. Compare the eligibility and application route before budgeting for one.
Medicine students
Check eligibility →undergraduate students
Check eligibility →international students
Check eligibility →students of Black heritage
Check eligibility →Amounts, exclusions and deadlines can change. An award is not guaranteed unless the university confirms it.
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Career quizApplication walkthroughSalary & CV check
Careers & earnings
What Mathematics graduates actually earn, from real outcome data, 15 months, 3 years and 5 years after graduating.
Graduate earnings: this course
| When | Median | Typical range | Graduates |
|---|---|---|---|
| 15 months after | £52,000 | £37,500 – £80,000 | 35 |
| 3 years after | £53,500 | £34,500 – £81,500 | 95 |
| 5 years after | £68,000 | £45,500 – £116,000 | 100 |
Nominal earnings for graduates of this course/subject at this provider. Moderate evidence. Published sample: 35; avoid reading small differences as meaningful. Cohort 2022-23.
Graduate outcomes, 15 months on: this course
89%
in work or further study 15 months on
95%
in highly skilled work or study
95%
continue past their first year
75%
find their work meaningful
80%
say work fits their future plans
- 1Graduate roleFirst role after the degree · 0–2 yrs
- 2Specialist / PractitionerWorking in mathematics · 2–5 yrs
- 3Senior / LeadLeading work and people · 5–10 yrs
- 4Head of / ExpertSenior leadership or deep expertise · 10+ yrs
How pay grows: this course vs Mathematics nationally
Starting (15 months) HESA GO
£52,000
£27,000 – £34,000After 3 years LEO
£53,500
£25,925 – £36,600After 5 years LEO
£68,000
£32,300 – £45,600national rangethis course’s medianaxis £22,500 – £71,000
National figures for Mathematics graduates, HESA Graduate Outcomes (15 months) and the Longitudinal Education Outcomes (LEO) dataset (3 & 5 years). These are national, not university-specific; actual pay varies by employer, region, role and experience. Different cohorts, so the bars are not one group over time.
Work out your pay
Headline figures hide a lot. Calculate realistic take-home pay for this field by role, region and experience, then check your CV before you apply.
What happened to 100 students?
Choose an outcome to translate the published percentage into a simple 100-person view. Each dot represents one percentage point, not an individual tracked student.
89 of 100
were in work or further study
15 months after graduation
77% working2% working and studying10% in further study95% in highly skilled work or study
Source: Discover Uni, using Graduate Outcomes and continuation data. Cohorts: 2022-23. Moderate evidence. Published sample: 35; avoid reading small differences as meaningful. Cohort 2022-23. Each tab is a separate published measure; categories can overlap and should not be added together.
Value compared with similar courses
How this course’s 5-year median earnings compare with Mathematics courses at the same study level.
This course £68,000Peer median £38,000Middle 50% £34,500–£43,000
100th percentile
Compared with 421 courses with compatible official earnings data. This is a course-value comparison, not a quality ranking.
UK occupations graduates enter
Published graduate destinations, joined conservatively to UK SOC 2020, ONS pay and Skills England demand.
- Business, Research and Administrative ProfessionalsSOC 2020 243 · 35% of published destinations · ASHE median £48,746
- Information Technology ProfessionalsSOC 2020 213 · 30% of published destinations · ASHE median £55,357
- Finance ProfessionalsSOC 2020 242 · 15% of published destinations · ASHE median £47,173
- Business and public service associate professionalsSOC 2020 35 · 10% of published destinations · ASHE median £38,760
Discover Uni JOBLIST/JOBTYPE; ONS ASHE 2025 provisional, all employee jobs; Skills England Occupations in Demand 2025. SOC is shown only for an exact normalised label match; demand is shown only at exact four-digit SOC. Published sample: 90; response rate: 70%. Pay describes the occupation across workers, not a guaranteed graduate salary.
Job market & outlook
How Mathematics graduates fare in the labour market, and how AI is reshaping the work.
89%
in work or further study 15 months after graduating, across Mathematics courses nationally.
Graduate Outcomes75%
of working graduates are in highly skilled work or further study.
highly skilled89%
of students continue past their first year (still enrolled or completed).
continuationHow AI is changing the work
AI doesn't replace the profession, it shifts it: routine tasks get automated, while judgement, working with people and using AI well become more valuable.
What AI takes off your plate
- Routine information gathering
- First-draft writing and summaries
- Standard analysis and admin
- Repetitive processing tasks
More human than ever
- Judgement and original thinking
- Working with and leading people
- Owning and sense-checking AI output
- Ethics and accountability
The strongest graduates pair subject depth with the ability to use AI tools critically.
Roles & employers
Where Mathematics graduates typically go, indicative destinations from graduate career data. Each role links to live openings on the StudySmarter job board.
Roles graduates go into
Where they work
- Banks & insurers
- Consultancies
- Government statistics
- Tech companies
Jobs after this course
Current roles from the StudySmarter job board that suit Mathematics graduates.
Mathematics Expert - 34877TuringMathematics Academic Mentor (Secondary School)Ribbons and Reeves LimitedMathematics Graduate Get into IT and Data Analytics Royston HertsProxime LimitedMathematics Department Lead for Strategic ExcellenceSupply Star Recruitment LimitedMathematicsHaysLive from the StudySmarter job board · as of 2026-08-01.See all matching jobs
Is this course right for you?
The essentials UK applicants ask about: finance, outcomes, entry and quality.
💷
Student finance
For comparison, the standard full-time England tuition cap is up to £9,790 per year in 2026/27; the actual fee varies by course and provider. If you normally live in England, eligible students can apply for a Tuition Fee Loan, plus a Maintenance Loan for living costs. Under Plan 5 you repay 9% of income above £25,000, nothing below that, and the balance is written off after 40 years.
📈
Where graduates go
89% were in work or further study 15 months after graduating, with a median salary of £52,000. See the full breakdown in Careers & earnings above.
🎯
Your entry chances
Use the UCAS points calculator above to see how your predicted grades compare with admitted students, and whether a contextual offer could apply.
⭐
Official-data snapshot
Averaging the official measures published for it, this course scores 9.1 out of 10: NSS 87.6% · in work or study 89% · continued 95%.
Who studies here and in this subject?
Provider- and UK subject-level context.
Imperial College of Science, Technology and Medicine
All students22,525
International52.9%
Aged 25+20.2%
Mathematical sciences across the UK
Students44,725
Aged 25+18.1%
HESA student record 2024/25. Counts are rounded.
Local crime-data context
A neutral snapshot around the published teaching location.
Around South Kensington
3,468 street-level reports returned within roughly one mile across 2026-04 to 2026-06.
Anti Social Behaviour 750Violent Crime 642Other Theft 530Shoplifting 370Theft From The Person 293
Police.uk street-level API. Approximate locations, not confined to campus. England, Wales and Northern Ireland; not Scotland.
Is Mathematics right for you?
Tick what applies to you and see how good a fit it is.
International students
What applying to Imperial College London from outside the UK involves: fees, English, visa, funding and living costs.
Tuition fees
International tuition is set per course by Imperial College London; international fees are typically £12,000–£30,000/year for classroom subjects and higher for lab/clinical ones. You’re not eligible for UK Tuition Fee or Maintenance Loans, so plan for fees plus living costs upfront.
English language
Most UK undergraduate courses ask for around IELTS 6.0–6.5 (no band below 5.5–6.0), or an accepted equivalent. If you’re just short, most universities run a pre-sessional English course that counts towards the requirement.
Student visa
You’ll usually need a Student visa (Student Route). After you accept an offer the university issues a CAS; you then show funds for fees plus about £1,023–£1,334/month living costs and pay the Immigration Health Surcharge for NHS access.
Scholarships & funding
Imperial College London offers the GREAT - Imperial College London Scholarship for international students, see Scholarships above.
Living costs
Budget roughly £1,100–£1,400/month outside London and £1,400–£1,800/month in London for rent, food and travel; the figure also matters for your visa.
Working while you study
A Student visa usually allows up to 20 hours/week in term time and full-time in holidays, useful alongside study, though not something to rely on for fees.
Visa rules and fees change. Always confirm the current requirements with Imperial College London and gov.uk before you apply.
Related courses
More at Imperial College London
ICBSc (Hons) MathematicsBSc (Hons) · Imperial College LondonICBSc (Hons) Mathematics with Mathematical ComputationBSc (Hons) · Imperial College LondonICBSc (Hons) Mathematics with StatisticsBSc (Hons) · Imperial College LondonICMSci (Hons) Mathematics with a Year AbroadMSci (Hons) · Imperial College London
Common questions
How competitive is entry?
Entry is competitive. Accepted students typically held strong UCAS tariffs. The most common tariff band among recent entrants was 208 - 223 UCAS points. Use the calculator on this page to see where your predicted grades would put you; many universities also make lower contextual offers.
What are the entry requirements?
Set by Imperial College London. Most accepted students held A-levels or equivalent. Check the university's course page for the exact offer.
What do graduates go on to do?
For Mathematical sciences graduates from this provider, 89% were in work or further study 15 months after graduating, 95% in highly skilled roles, typical earnings around £52,000. (HESA Graduate Outcomes / LEO, via Discover Uni.)
What will it cost me?
For comparison, the standard full-time England tuition cap is up to £9,790 per year in 2026/27; the actual fee varies by course and provider. If you normally live in England, eligible students can apply for a Tuition Fee Loan, plus a Maintenance Loan for living costs. Under Plan 5 you repay 9% of income above £25,000, nothing below that, and the balance is written off after 40 years. See Fees & funding on this page to work out your numbers.
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