BA (Hons) Mathematics and Music Bachelor's degree at Royal Holloway, University of London
BA (Hons) Mathematics and Music at RHUL. You'll engage with specialisations such as core theory, research and methods, applied practice, specialist options, an independent project, and professional skills.
About this course
Explore the breadth of mathematical ideas and methods while learning performance and composition techniques, and examine issues in music history, sociology, ethnology, and philosophy. From the provider’s course page.
BA (Hons) Mathematics and Music is a Bachelor's degree (BA (Hons)) at RHUL, based in Egham Campus. It runs 3 years, studied full-time.
For Mathematical sciences graduates from this provider, 80% were in work or further study 15 months after graduating, 90% in highly skilled roles, typical earnings around £31,000. (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: 15; treat comparisons cautiously. Cohort 2021-23. Graduate Outcomes work or further study 80% (2022-23; Discover Uni snapshot 2026-06-21)
Published threshold met Discover Uni suppresses continuation data below its publication threshold. Cohort 2022-23. Continuation 81% (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 13 modules
- CalculusCore
Module details
In this module, you will develop an understanding of the key concepts in Calculus, including differentiation and integration. You will learn how to factorise polynomials and separate rational functions into partial fractions, differentiate commonly occurring functions, and find definite and indefinite integrals of a variety of functions using substitution or integration by parts. You will also examine how to recognise the standard forms of first-order differential equations, and reduce other equ
- Calculus IICore
Module details
In this module you will develop an understanding of the calculus functions of more than one variable and how it may be used in areas such as geometry and optimisation. You learn how to manipulate partial derivatives, construct and manipulate line integrals, represent curves and surfaces in higher dimensions, calculate areas under a curve and volumes between surfaces, and evaluate double integrals, including the use of change of order of integration and change of coordinates.
- Introduction to Pure MathematicsCore
Module details
In this module you will develop an understanding of the fundamental algebraic structures, including familiar integers and polynomial rings. You will learn how to apply Euclid's algorithm to find the greatest common divisor of two integers, and use mathematical induction to prove simple results. You will examine the use of arithmetic operations on complex numbers, extract roots of complex numbers, prove De Morgan's laws, and determine whether a given mapping is bijective.
- Linear Algebra ICore
Module details
In this module you will develop an understanding of basic linear algebra, in particular the use of matrices and vectors. You will look at the basic theoretical and computational techniques of matrix theory, examining the power of vector methods and how they may be used to describe three-dimensional space. You will consider the notions of field, vector space and subspace, and learn how to calculate the determinant of an n x n matrix.
- Theory and AnalysisCore
Module details
This course aims: 1. to develop basic music-analytical literacy, 2. to introduce basic concepts concerning counterpoint, harmony, melody and form that underpin the analysis of music, 3. to put these concepts into practice in the analysis of pieces from a variety of repertories. The course addresses the contrapuntal, melodic, harmonic and formal elements of tonal music. Weekly lectures, in which students are introduced to analytical concepts and then practise deploying them, through listening, sc
- Fundamentals of Music TheoryCore
Module details
The aim of this course is to develop students' awareness of music theory through practical exercises and musical analysis. Through practical exercises that focus on musical literacy as well as aural awareness, students develop the ability to identify and analyse the musical parameters of metre, rhythm, pitch, harmony, counterpoint and form. In-class exercises may focus on listening, whereas exercises for self-study or small-group work may include written exercises. Tasks set for private study be
- Creative Composition TechniquesCore
Module details
This course introduces students to some fundamental techniques of music composition. The precise topics taught may change depending on the research interests of the staff responsible for teaching the course, but typically include: • Soundworlds and scale formations • The vertical dimension: chords and simultaneities • The horizontal dimension: melody and voice leading • Developments in rhythm • Developments in harmonic vocabulary and tonalities • Form in contemporary composition • Acoustic timbr
- A Very Short History of MusicCore
Module details
This course introduces a wide range of repertories within the history of music. It stimulates students to relate features of musical compositions and performances to their wider historical contexts and gives students a fundamental knowledge of specific musical cultures. It provides students with opportunities to develop skills in research and information retrieval and in critical reading of primary and secondary literature, to receive formative feedback on those skills, and to build a foundation
- Introduction to Historical MusicologyCore
Module details
This course introduces concepts underlying the historical and critical study of music. It enables students to begin thinking critically about the priorities that underlie historical texts from different intellectual traditions and stimulates them to relate features of musical compositions and performances to wider historical contexts. It provides students with opportunities to develop skills in research and information retrieval and in critical reading of primary and secondary literature, to rec
- Introduction to World MusicCore
Module details
This course introduces students to the socio-cultural contexts, functions, philosophies, techniques, and organising principles of a variety of musics of the world; musics from at least three continents will be studied. These musical traditions will be approached from both theoretical and practical perspectives, also giving a variety of opportunities for hands-on experience. Course content will vary from year to year according to staff interests, availability of musicians to provide workshops, an
- Contemporary Debates in MusicCore
Module details
This course introduces students to a range of key debates and issues in contemporary musicology and to a range of key issues concerning music in the contemporary world. It encourages students to think about music's relation to social and cultural contexts and introduces them to unfamiliar musical styles and repertoires as well as broaden understanding of those closer to home. It hones students' skills in reading a wide variety of critical and theoretical writing about music. This course will sur
- Solo PerformanceCore
Module details
This course aims to further students' skills as performers through regular (typically weekly) one-to-one vocal/instrument lessons with an approved visiting teacher. Students will be offered opportunities to perform in practical seminars where matters of interpretation and stage manner will be discussed. Constructive critical feedback given as well as developing students' skills in delivering feedback. Students' will develop the capacity to reflect on what constitutes good programming and fine pe
- Creative Ensemble PerformanceCore
Module details
The module aims to develop a broad range of innovative, practical, creative and collaborative musical skills. It promotes student initiative and creativity, while developing focused, critical, technical and context sensitive perspectives on selected musical repertoires/traditions/genres. It seeks to explore, reflect upon, extend and/or challenge specific musical performance conventions. The module will commence with at least two plenary lectures/seminars at the start of term one, when the module
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 degree combines the breadth of mathematical ideas and methods with performance and composition techniques, and examines issues in music history, sociology, ethnology, and philosophy. A course like this typically moves from mathematical foundations through to specialist options and independent study. In Year 1, you'll usually study Calculus & Analysis, Linear Algebra, and Probability & Statistics. Year 2 typically progresses to Real & Complex Analysis, Abstract Algebra, and Differential Equations & Modelling. In Year 3, you'll usually choose from specialist options such as Pure mathematics, Statistics & data, Financial mathematics, Applied & modelling, Operational research, or an Actuarial pathway, alongside Numerical Methods & Computation and an independent project or advanced topics.
Who it's for
This course suits students with strong A-level qualifications or equivalent (entrants typically hold UCAS tariffs between 128 and 143 points). It appeals to those genuinely interested in both mathematical rigour and musical study, seeking to develop expertise across both fields rather than specialising in one alone.
Careers & job market
Across Mathematics courses nationally, 89% of graduates are in work or further study within 15 months of graduating. Of those working, 75% are in highly skilled roles or continuing their studies. National earnings data shows starting salaries of £27,000–£34,000 at 15 months; after three years, £25,925–£36,600; and after five years, £32,300–£45,600. These figures reflect the broader graduate population rather than guarantees for individual graduates.
University & format
Royal Holloway, University of London is a higher education college located on the Egham Campus. This BA (Hons) Mathematics and Music is studied full-time over 3 years and taught in English. As a recognised UK degree-awarding body, the degree is nationally recognised. The university holds a Silver award 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.
Work placement. 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 | 100% |
Entry & your chances
An honest read from the official entry data, plus your personal match.
Entry is set by the university and based on your offer. Use your predicted grades to see how you compare, then check the university's stated requirements.
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 (code GW13). 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 RHUL →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 | £31,000 | £25,000 – £35,000 | 15 |
| 3 years after | £31,000 | £24,500 – £39,500 | 50 |
| 5 years after | £41,500 | £31,000 – £56,000 | 60 |
Nominal earnings for graduates of this course/subject at this provider. Limited evidence. Published sample: 15; 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: 2022-23. Limited evidence. Published sample: 15; 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.
- Business and public service associate professionalsSOC 2020 35 · 30% of published destinations · ASHE median £38,760
- Information Technology ProfessionalsSOC 2020 213 · 25% of published destinations · ASHE median £55,357
- Finance ProfessionalsSOC 2020 242 · 20% of published destinations · ASHE median £47,173
- Artistic, literary and media occupationsSOC 2020 341 · 20% of published destinations · ASHE median £33,824
- Teaching ProfessionalsSOC 2020 231 · 20% of published destinations · ASHE median £42,660
- Secretarial and related occupationsDiscover Uni category · 10% of published destinations
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: 30; response rate: 65%. 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.
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.
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 LimitedMathematicsHaysIs 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
80% were in work or further study 15 months after graduating, with a median salary of £31,000. 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 7.8 out of 10: NSS 74.3% · in work or study 80% · continued 81%.
Who studies here and in this subject?
Provider- and UK subject-level context.
Royal Holloway and Bedford New College
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 Egham Campus
437 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 RHUL from outside the UK involves: fees, English, visa, funding and living costs.
Tuition fees
International tuition is £28,500 / 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 RHUL’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 RHUL and gov.uk before you apply.
Related courses
More at RHUL
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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