MMath Mathematics Integrated Master's degree at Sheffield Hallam University
MMath Mathematics at SHU covers core theory, research and methods, applied practice, specialist options, an independent project, and professional skills development.
About this course
<p>Address complex global challenges with our advanced degree programme. Master mathematical skills in problem-solving, modelling and data analysis to unlock opportunities in research and industry.</p> From the provider’s course page.
MMath Mathematics is an Integrated Master's degree (MMath) at SHU, based in City Campus. It runs 3 years, studied full-time.
For Mathematics graduates from this provider, 90% were in work or further study 15 months after graduating, 70% in highly skilled roles, typical earnings around £26,000. (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.
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)
Limited evidence Published sample: 10; treat comparisons cautiously. Cohort 2021-23. Graduate Outcomes work or further study 90% (2021-23; Discover Uni snapshot 2026-06-21)
Published threshold met Discover Uni suppresses continuation data below its publication threshold. Cohort 2022-23. Continuation 75% (2022-23; 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 4 modules
- Applied Data AnalysisCompulsory20 credits
Module details
This module develops your knowledge and understanding of key statistical techniques, statistical software and project-based skills, working collaboratively with local partners on an applied project. You'll learn through a mix of lectures, workshops and laboratory sessions. Topics include: Project-based statistics, from data collection to conclusions; Statistical programming; Data manipulation, summary and visualisation; Commonly used statistical techniques and statistical modelling; Working with
Assessment: Coursework (100%)
- Mathematical And Statistical MethodsCompulsory40 credits
Module details
This module develops the skills required of a professional mathematician, including reading, thinking and working with mathematical and statistical ideas, and programming. Topics include: Functions, solving equations and complex numbers; Calculus, analytical and numerical techniques for basic differential equations; Matrices and linear algebra; Core concepts of statistics; Probability and inferential statistics; Programming.
Assessment: Coursework (60%), Exam (40%)
- Modelling And Differential EquationsCompulsory40 credits
Module details
This module develops skills in applying both familiar and new mathematical techniques to solve everyday problems, including critical thinking, team work and understanding the roles of different team members. Topics include: Modelling principles and techniques; Matrix algebra; Linear simultaneous equations and vectors; Linear programming; Queuing systems; Probability; Ordinary differential and difference equations; Mathematics and statistics in real-world contexts; The role of ethics.
Assessment: Coursework (100%)
- Proof And ReasoningCompulsory20 credits
Module details
This module explores problem solving and mathematical thinking skills by introducing mathematical theory and abstraction. Topics include: Problem-solving strategies; Communicating solution methods with clear definitions and justifications; Connecting and applying prior learning and skills to new problems; Proof methods; Set theory and logic; Number bases; Modular arithmetic; Functions; Group and graph theories; Combinatorics.
Assessment: Coursework (100%)
Year 2 4 modules
- Applied Modelling And Operational ResearchCompulsory40 credits
Module details
To develop knowledge and understanding of different modelling techniques in a variety of contexts to enable the production and interpretation of model output in real world scenarios. Indicative content: Continuous modelling with differential equations; Discrete modelling; Statistical modelling. At least one of these will include an enhanced applied project. The module will be delivered through workshop style teaching sessions and independent study.
Assessment: Coursework (100%)
- Linear Algebra And CalculusCompulsory40 credits
Module details
This module broadens your experience of techniques and applications of calculus and linear algebra. Topics include: Multiple integrals, double integration in Cartesian and polar co-ordinates; Change of order of integration and triple integration; Vector calculus gradient, divergence, curl, identities and directional derivative; Fourier analysis; Spaces isomorphic to Rn; Linear independence, bases, subspaces, rank and transformations; Eigenvectors, eigenvalues and abstract vector spaces.
Assessment: Coursework (60%), Exam (40%)
- Mathematical AnalysisCompulsory20 credits
Module details
This module develops mathematical rigour and knowledge in an area of pure mathematics, enabling you to prove and apply theorems and discover properties of mathematical objects. Topics include: Upper and lower bounds; Inequalities; Convergence and divergence of sequences and series; Power series; Complex-valued functions; Cauchy-Riemann equations; Contour integration; Laurent series; Residues; Applications of contour integration.
Assessment: Coursework (100%)
- Statistical Theory And ModellingCompulsory20 credits
Module details
This module develops your theoretical understanding and practical application of more advanced statistical techniques that are used widely in industry. Topics include: Statistical modelling and application; Model formulation and selection; Identification of issues; Non-linear models; Understanding the relevant theory; Probability and theory of statistical inference; Bayesian statistics.
Assessment: Coursework (100%)
Year 3 1 modules
- Undergraduate Sandwich Placement Applied Professional DiplomaCompulsory
Module details
The aim of this module is to enhance students' professional development through the completion of and reflection on meaningful work placement(s). A work placement will provide students with opportunities to experience the realities of professional employment and experience how their course can be applied within their chosen industry setting. Students undertake a sandwich placement (min 24 weeks / min 21 hours per week) which is integrated, assessed and aligned to their studies.
Year 4 4 modules
- Mathematics For SustainabilityCompulsory40 credits
Module details
This module applies tools developed throughout the degree to build mathematical models that tackle issues of sustainability. Topics include: Modelling with partial differential equations; Mathematical biology; Data science and Statistics; Fluid dynamics; Discrete mathematics; Programming with Mathematical applications.
Assessment: Coursework (100%)
- Project: ImplementationCompulsory20 credits
Module details
Your individual final year project is the apex of your academic journey, offering a platform to apply the wealth of knowledge and skills gathered throughout your degree to authentic, discipline-specific problems. You will undertake in-depth research in a topic of your choosing with the opportunity to work alongside researchers.
Assessment: Coursework (100%)
- Project: Planning And ScopingCompulsory20 credits
Module details
Develop solid foundations for undertaking a self-managed academic research project. Topics include: The life cycle of a project; Reviewing academic literature; Quality management; Project management techniques and tools; Research ethics; Intellectual property rights.
Assessment: Coursework (100%)
- Topics In Mathematics And Its ApplicationsCompulsory40 credits
Module details
This module develops your theoretical and practical expertise in a range of mathematical and statistical applications. Topics include: Fluid dynamics; Data science and Statistics; Codes, cryptography, and abstract algebra; Combinatorics and game theory; Mathematical physics; Mathematical finance.
Assessment: Coursework (50%), Exam (50%)
Final year 4 modules
- Industrial Group ProjectCompulsory40 credits
Module details
This module aims to give experience in the practice of engineering and related disciplines at a professional level. It involves planning, managing, executing and reporting a programme of work which will normally involve a mixture of experimental, theoretical and computational work together with a review of relevant previous work in the field. Topics include: Approaches to managing complex technical projects; Effective teamwork and management; Planning and coordinating a team-based activities; Ro
Assessment: Coursework (100%)
- Project And DissertationCompulsory40 credits
Module details
The Project and Dissertation module represents the capstone in your learning journey. It is your chance to push the boundaries of knowledge, showcasing originality through major research. You will complete an intellectually rich masters-level research project with the support of an academic supervisor.
Assessment: Coursework (100%)
- Research Frontiers In Mathematics, Physics And StatisticsCompulsory20 credits
Module details
Engage with cutting-edge research in this wide-ranging module and fuel your independent exploration. Explore an advanced area of research of your choosing and work alongside an active researcher in that field. Topics include understanding of a specialist topic and the chance to work as part of a research team on cutting-edge research.
Assessment: Coursework (100%)
- Research Methodology And PracticeCompulsory20 credits
Module details
In this module you will develop the skills needed for high-quality research and scientific practice.
Assessment: Coursework (100%)
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
This course equips you with advanced mathematical skills in problem-solving, modelling and data analysis for research and industry applications. You'll usually start with foundational theory: calculus and analysis, linear algebra, and probability and statistics. In Year 2, a course like this typically moves to deeper material, real and complex analysis, abstract algebra, and differential equations with modelling, building rigour and breadth. By Year 3, you'll choose specialisations such as pure mathematics, statistics and data, financial mathematics, applied and modelling, operational research, or an actuarial pathway. You'll also study numerical methods and computation, and complete an independent project or research-level option modules. Throughout, the emphasis is on mathematical reasoning and practical application.
Who it's for
Most entrants hold A-levels or equivalent qualifications; 95% of accepted students came in with this background. The typical UCAS tariff band among accepted students falls between 80 and 95 points. Check the university's funding pages for details on bursaries and scholarships available to you.
Careers & job market
Across Mathematics courses nationally, 89% of graduates are in work or further study 15 months after graduating. Of those working, 75% are in highly skilled roles or pursuing further study. National earnings data shows starting salaries of £27,000–£34,000 at 15 months post-graduation, rising to £25,925–£36,600 after 3 years and £32,300–£45,600 after 5 years. These are figures from national graduate outcomes surveys, not university-specific guarantees.
University & format
The MMath is an Integrated Master's degree studied full-time over 3 years at Sheffield Hallam University, a University located on its City Campus. Instruction is in English. The award is nationally recognised as a UK degree-awarding body and holds Gold recognition for teaching quality in the Office for Students' TEF 2023.
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.
- 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.
Provider-published requirement; check the linked course page before applying.
Placement year. Availability, selection and pay can vary.
Entry & how to get in
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 | 95% |
| another higher-education qualification | 5% |
Entry & your chances
An honest read from the official entry data, plus your personal match.
Accepted students came in with a broad spread of qualifications and UCAS points. If you're worried about grades, this course has historically taken a wide range, and contextual offers may apply.
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.
Each bar is the share of admitted students in that UCAS-points band (lower → higher). Grades show the A-level equivalent.
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.
- 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.
Fees & funding
What this course costs and how UK student finance covers it.
Tuition per year
Provider fee page (England 2026/27 cap where not stated).
Check fees at SHU →For students who normally live in England
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.
Scholarships & bursaries you could qualify for
That does not mean no funding exists. Check the university directory for current amounts, eligibility and application dates.
We only display a named award when its provider source identifies the award and who it is for.
Still deciding what to study?
StudyKit brings course choice, applications and funding together in one place, with a personal AI assistant. Find what really fits you and start your UCAS application step by step.
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 | £26,000 | £24,000 – £35,000 | 10 |
| 3 years after | £27,000 | £23,000 – £34,000 | 140 |
| 5 years after | £33,500 | £27,500 – £43,000 | 145 |
Nominal earnings for graduates of this course/subject at this provider. Limited evidence. Published sample: 10; treat comparisons cautiously. Cohort 2021-23.
Graduate outcomes, 15 months on: this course
- 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
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.
were in work or further study
15 months after graduation
Source: Discover Uni, using Graduate Outcomes and continuation data. Cohorts: 2021-23. Limited evidence. Published sample: 10; treat comparisons cautiously. Cohort 2021-23. 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.
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.
- Finance ProfessionalsSOC 2020 242 · 15% of published destinations · ASHE median £47,173
- Elementary occupationsSOC 2020 9 · 15% of published destinations · ASHE median £19,087
- Business, Research and Administrative ProfessionalsSOC 2020 243 · 15% of published destinations · ASHE median £48,746
- Information Technology ProfessionalsSOC 2020 213 · 10% of published destinations · ASHE median £55,357
- Teaching ProfessionalsSOC 2020 231 · 10% of published destinations · ASHE median £42,660
- 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: 45; response rate: 55%. Pay describes the occupation across workers, not a guaranteed graduate salary.
Is MMath Mathematics worth it?
Generally yes. On its graduates’ median earnings, MMath Mathematics is worth about +£65,630 more over the first ten years of work than going straight to a job, a solid return once you net out the fees.
Cumulative earnings vs. going straight to work at 18, counting tuition and 3 years of wages given up while studying. The line clears zero around year 15.2. This is a simplified gross-earnings comparison, not a forecast of cash loan repayments.
Model: this course’s own median graduate earnings (Graduate Outcomes / LEO) above the £24,000 non-graduate baseline (ONS), net of £9,790/yr over 3 years (published course home fee). Eligible England-domiciled students can apply for a Tuition Fee Loan; repayments are 9% only on income above the threshold, with anything left written off after 40 years. That makes the cash flow different from conventional commercial debt. Opportunity cost assumes £18,000 gross earnings forgone in each study year; figures are nominal and exclude tax, living costs, investment returns and loan interest. A simplified estimate. Earnings and actual fees vary by graduate, provider, fee status and UK nation.
Job market & outlook
How Mathematics graduates fare in the labour market, and how AI is reshaping the work.
How 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.
Is this course right for you?
The essentials UK applicants ask about: finance, outcomes, entry and quality.
Student finance
Published home tuition is £9,790/year for this course. 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
90% were in work or further study 15 months after graduating, with a median salary of £26,000. 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 8.3 out of 10: NSS 83% · in work or study 90% · continued 75%.
Who studies here and in this subject?
Provider- and UK subject-level context.
Sheffield Hallam University
Mathematical sciences across the UK
HESA student record 2024/25. Counts are rounded.
Local crime-data context
A neutral snapshot around the published teaching location.
Around City Campus
3,427 street-level reports returned within roughly one mile across 2026-04 to 2026-06.
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 SHU from outside the UK involves: fees, English, visa, funding and living costs.
Tuition fees
International tuition is £18,000 / year for this course (from the provider’s fee page). 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
Many universities offer international/global scholarships (often £2,000–£6,000/yr), check SHU’s funding pages.
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 SHU and gov.uk before you apply.
Related courses
More at SHU
Common questions
How competitive is entry?
What are the entry requirements?
What do graduates go on to do?
What will it cost me?
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