(Full time) 2020 start
Mathematics and Music BSc
Overview
Links between mathematics and music have been known since the time of Pythagoras. From the vibration of a guitar string and the analysis of a rhythmic pattern, to the use of randomness in 20th century experimental music, mathematics continues to impact music at every level. This course provides a thorough grounding in mathematics, music, and the deep connections between them.
Your time will be divided roughly equally between the School of Mathematics and the School of Music. The School of Music is home to internationally recognised scholars and composers, first class resources, and extensive facilities. It also has a very active performance life, with a free lunchtime concert series and formal collaborations with external organisations such as Opera North. The School of Mathematics has extensive research interests, allowing you the freedom to study modules across statistics, applied mathematics and pure mathematics.
Enhancing your degree
This course offers you the opportunity to spend a year working in industry or studying at a university abroad, both of which provide valuable experience and help your personal development. Both of these schemes add an additional year to your course, taking the total course length to 4 years.
Course content
Your time will be divided roughly equally between modules from mathematics and music.
Year 1: In mathematics you will study key topics, including calculus, differential equations and linear algebra, plus you’ll have the option to study geometry or probability and statistics. Your studies in music will develop your awareness of the academic research skills necessary to study music at degree level. You'll have optional modules in music from which to choose.
Year 2: You’ll study the mathematics of music, vector calculus and music in context, as well as the optional modules that you select. You’ll have the freedom to study optional modules from a wide range in both subjects. Your music studies could explore the psychology of listening and performance or interpreting music. In mathematics, modules are available across the major branches of the subject.
Year 3: You’ll undertake a project, which could be focused on mathematics or music. You’ll have a great deal of independence in shaping your studies due to the variety of optional modules available to you, allowing you to specialise in your particular areas of interest.
Course structure
The list shown below represents typical modules/components studied and may change from time to time. Read more in our Terms and conditions.
Modules
Year 1
Compulsory modules
- Calculus and Mathematical Analysis 10 credits
- Numbers and Vectors 10 credits
- Introductory Linear Algebra 10 credits
- Modelling with Differential Equations 10 credits
- Music Research Skills 20 credits
Optional modules (selection of typical options shown below)
- Introduction to Geometry 10 credits
- Financial Mathematics 1 15 credits
- Probability and Statistics I 10 credits
- Probability and Statistics II 10 credits
- Understanding Music 20 credits
- Music in History and Culture 20 credits
- Composition 20 credits
- Performance 20 credits
- Ensemble Performance 20 credits
- Sound, Technology, and Music 20 credits
- Introduction to the Psychology of Music 20 credits
Year 2
Compulsory modules
- The Mathematics of Music 10 credits
- Vector Calculus 15 credits
Optional modules (selection of typical options shown below)
- School Mathematics 10 credits
- Real Analysis 15 credits
- Groups and Vector Spaces 15 credits
- Rings and Polynomials 10 credits
- Logic 10 credits
- Logic with Computation 15 credits
- Geometry of Curves and Surfaces 10 credits
- Discrete Mathematics 10 credits
- Discrete Mathematics with Computation 15 credits
- Linear Differential Equations and Transforms 15 credits
- Nonlinear Differential Equations 10 credits
- Financial Mathematics 2 10 credits
- Financial Mathematics 3 10 credits
- Numerical Analysis 10 credits
- Numerical Analysis with Computation 15 credits
- Fluid Dynamics 1 10 credits
- Statistical Methods 10 credits
- Statistical Modelling 10 credits
- Environmental Statistics 10 credits
- Introduction to Markov Processes 10 credits
- Survival Analysis 10 credits
- Mathematics into Schools 10 credits
- Maths at Work 10 credits
- Computational Mathematics 10 credits
- Interpreting Music 20 credits
- Composition 20 credits
- Performance 20 credits
- Ensemble Performance 20 credits
- Music Technology Skills and Techniques 20 credits
- Music in Context A 20 credits
- Music in Context B 20 credits
- Music in Practice 20 credits
- Opera North: Opera in Practice 20 credits
- The Psychology of Listening and Performance 20 credits
- Music Students into Schools 20 credits
Year 3
Optional modules (selection of typical options shown below)
- Combinatorial Optimisation 10 credits
- Graph Algorithms and Complexity Theory 10 credits
- Mathematics Education 10 credits
- Real Analysis 15 credits
- Groups and Vector Spaces 15 credits
- Rings and Polynomials 10 credits
- Logic 10 credits
- Logic with Computation 15 credits
- Geometry of Curves and Surfaces 10 credits
- Discrete Mathematics 10 credits
- Discrete Mathematics with Computation 15 credits
- Nonlinear Differential Equations 10 credits
- Financial Mathematics 2 10 credits
- Financial Mathematics 3 10 credits
- Numerical Analysis 10 credits
- Numerical Analysis with Computation 15 credits
- Fluid Dynamics 1 10 credits
- Introduction to Optimisation 10 credits
- Calculus of Variations 10 credits
- Statistical Methods 10 credits
- Statistical Modelling 10 credits
- Introduction to Markov Processes 10 credits
- Survival Analysis 10 credits
- Computational Mathematics 10 credits
- Project in Mathematics 20 credits
- History of Mathematics 15 credits
- Calculus in the Complex Plane 15 credits
- Philosophy of Logic and Mathematics 20 credits
- Graph Theory 15 credits
- Number Theory 15 credits
- Groups and Symmetry 15 credits
- Proof and Computation 15 credits
- Differential Geometry 15 credits
- Models and Sets 15 credits
- Combinatorics 15 credits
- Coding Theory 15 credits
- Commutative Rings and Algebraic Geometry 15 credits
- Metric and Function Spaces 15 credits
- Hilbert Spaces and Fourier Analysis 15 credits
- Topology 15 credits
- Transformation Geometry 15 credits
- Hamiltonian Systems 15 credits
- Mathematical Methods 15 credits
- Quantum Mechanics 15 credits
- Nonlinear Dynamics 15 credits
- Analytic Solutions of Partial Differential Equations 15 credits
- Geophysical Fluid Dynamics 15 credits
- Astrophysical Fluid Dynamics 15 credits
- Numerical Methods 10 credits
- Actuarial Mathematics 1 15 credits
- Actuarial Mathematics 2 15 credits
- Relativity and Cosmology 15 credits
- Mathematical Biology 15 credits
- Evolutionary Modelling 15 credits
- Fluid Dynamics 2 15 credits
- Linear Regression and Robustness 15 credits
- Statistical Theory 15 credits
- Stochastic Calculus for Finance 15 credits
- Time Series 10 credits
- Bayesian Statistics 10 credits
- Generalised Linear Models 10 credits
- Analysing Music 40 credits
- Special Study in Musicology A 20 credits
- Special Study in Musicology B 20 credits
- Dissertation 40 credits
- Composition 40 credits
- Performance Platform 20 credits
- Ensemble Performance 20 credits
- Applied Project 20 credits
- Performance 40 credits
- Editing and Source Studies 40 credits
- Music Technology 40 credits
- Music Psychology 40 credits
Broadening your academic horizons
At Leeds we want you to benefit from the depth and breadth of the University's expertise, to prepare you for success in an ever-changing and challenging world. This course gives you the opportunity to broaden your learning by studying discovery modules. Find out more on the Broadening webpages.
Learning and teaching
You’ll be taught through lectures, tutorials, workshops and practical classes. You’ll enjoy extensive tutorial support and have freedom in your workload and options.
The School of Mathematics offers a variety of welcoming spaces to study and socialise with your fellow students. There’s a café, social and group study areas, a library and a seminar room, as well as a Research Visitors Centre and a Mathematics Active Learning Lab.
On this course you’ll be taught by our expert academics, from lecturers through to professors. You may also be taught by industry professionals with years of experience, as well as trained postgraduate researchers, connecting you to some of the brightest minds on campus.
Assessment
You’re assessed through a range of methods, including formal exams and in-course assessment.
Entry requirements, fees and applying
Entry requirements
A-level: AAB including Music and grade A in Mathematics.
Where an A-Level Science subject is taken, we require a pass in the practical science element, alongside the achievement of the A-Level at the stated grade.
Excludes A-Level General Studies or Critical Thinking.
Though most applicants study A-Level Music, we will consider other subjects in lieu of music (especially if not taught at an applicant's school/college) where the applicant is taking at least one essay-based subject at A-Level and has theory (minimum grade 5 ABRSM) and practical (minimum grade 8) music qualifications.
GCSE: You must also have GCSE English at grade C (4) or above (or equivalent).
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Access to HE Diploma
Normally only accepted in combination with grade A in A Level Mathematics or equivalent.
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BTEC
BTEC qualifications in relevant disciplines are considered in combination with other qualifications, including grade A in A-level mathematics, or equivalent
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Cambridge Pre-U
D3/M1/M1 or D2/M1/M2, including Music, and where the first grade quoted is in Mathematics.
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International Baccalaureate
35 points overall with 16 at Higher Level including 6 in Higher Level Mathematics and 5 in Higher Level Music
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Irish Highers (Leaving Certificate)
H1 in Mathematics, H2 grades in three other subjects including Music, and H3 grades in two further subject in your Irish Leaving Certificate. If you have not taken Music at Higher Level (especially if it isn't taught at your school or college), you should have at least one essay-based subject, as well as a minimum ABRSM Grade 5 music theory and Grade 8 practical qualifications.
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Scottish Highers / Advanced Highers
Suitable combinations of Scottish Higher and Advanced Highers are acceptable. A typical offer is AAABB including Advanced Higher Music and grade A in Advanced Higher Mathematics. If you have not taken Music (especially if it isn’t taught at your school or college), you should have at least one essay-based subject, as well as a minimum ABRSM Grade 5 music theory and Grade 8 practical qualifications.
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Other Qualifications
We also welcome applications from students on the Northern Consortium UK International Foundation Year programme, the University of Leeds International Foundation Year, and other foundation years with a high mathematical content. Read more on the School Foundation year programmes page.
Read more about UK and Republic of Ireland accepted qualifications or contact the School’s Undergraduate Admissions Team.
Alternative entry
We’re committed to identifying the best possible applicants, regardless of personal circumstances or background.
Access to Leeds is an alternative admissions scheme which accepts applications from individuals who might be from low income households, in the first generation of their immediate family to apply to higher education, or have had their studies disrupted.
Find out more about Access to Leeds and alternative admissions.
If you do not have the formal qualifications for immediate entry to one of our degrees, you may be able to progress through a foundation year. We offer a Studies in Science with a Foundation Year BSc for students without a science background at A-level and an Interdisciplinary Science with Foundation Year BSc for applicants who meet specific widening participation criteria.
International Foundation Year
International students who do not meet the academic requirements for undergraduate study may be able to study the University of Leeds International Foundation Year. This gives you the opportunity to study on campus, be taught by University of Leeds academics and progress onto a wide range of Leeds undergraduate courses. Find out more about International Foundation Year programmes.
English language requirements
IELTS 6.5 overall, with no less than 6.0 in any component.. For other English qualifications, read English language equivalent qualifications.
Improve your English
If you're an international student and you don't meet the English language requirements for this programme, you may be able to study our undergraduate pre-sessional English course, to help improve your English language level.
How to apply
Apply to this course through UCAS. The institution code for the University of Leeds is L23. Check the deadline for applications on the UCAS website.
International students apply through UCAS in the same way as UK/EU students. Our network of international representatives can help you with your application. If you’re unsure about the application process, contact the admissions team for help.
Read about visas, immigration and other information in International students. We recommend that international students apply as early as possible to ensure that they have time to apply for their visa.
Applicant days
Suitable applicants will be invited to an applicant day, which is not mandatory, but for which we strongly encourage attendance, as this gives you the opportunity to meet our staff and students, explore the School and University and find out more about your course.
After you apply we will send you a link to book your place on the applicant day, but please let us know as soon as possible if you cannot attend, so your place can be allocated to another applicant.
If you have non-standard qualifications, or when there is no evidence of recent mathematical study, a 30-minute interview and/or a 90-minute test covering the core A-level Mathematics syllabus may be part of the selection procedure. This is to ensure that the course is suitable for you and that your current studies have prepared you for the curriculum at Leeds. If you are unable to attend, a telephone or Skype interview may be arranged. For further information, read our admissions policy.
Admissions policy
Faculty of Arts, Humanities and Cultures Undergraduate Admissions Policy 2020
Fees
UK/EU: See fees section below
International: £21,750 (per year)
Undergraduate tuition fees for 2020 entry
For UK and non-UK EU full-time students starting in 2020, the fee for 2020/21 will be £9,250.
The fee may increase in future years of your course in line with inflation, and as permitted by law. Fees for UK and non-UK EU undergraduate students are decided by Government and may vary if policy changes.
The UK government has confirmed that non-UK EU students starting in the 2020/21 academic year will have home fee status and be eligible for UK government student loans for the duration of their course. The UK government has not confirmed the situation for future years, so keep checking our website for updates.
UK undergraduate tuition fees for 2021 entry
Tuition fees for UK full-time undergraduate students starting in 2021/22 have not yet been confirmed by the UK government. In other years, the government has confirmed fee levels in summer. When the fee is confirmed, we will publish an update on this website.
Tuition fees for a study abroad or work placement year
If you take a study abroad or work placement year, you’ll pay a reduced tuition fee during this period. For more information, see Study abroad and work placement tuition fees and loans.
Read more about paying fees and charges.
Brexit
Visit our Brexit page for the latest information on the effect of the UK's exit from the EU on current students and applicants to the University.
There may be additional costs related to your course or programme of study, or related to being a student at the University of Leeds. Read more about additional costs
Financial support
If you have the talent and drive, we want you to be able to study with us, whatever your financial circumstances. There is help for students in the form of loans and non-repayable grants from the University and from the government. Find out more in our Undergraduate funding overview.
The School of Mathematics awards a range of scholarships.
Career opportunities
A mathematics degree can take you down many career paths into some of the highest paid and most satisfying roles in employment. The University of Leeds is in the top ten most targeted universities in the UK by graduate recruiters, according to High Fliers’ The Graduate Market in 2020 report.
In virtually all areas of life, mathematical skills are highly valued. The numerical, analytical and problem solving skills you will develop, as well as your specialist subject knowledge and your ability to think logically, are highly valued across sectors, including financial services, IT, software design, data analysis, engineering, and teaching. This course also allows you to develop the transferable skills that employers seek, particularly your communication skills which studying music can help you improve.
Careers support
Throughout your degree course we will make sure that you have the support and opportunity to develop the skills and experience you’ll need to make the most of your career choices. The students’ union also provides volunteering opportunities which can help you in your personal development.
We teach problem-solving and high level thinking at all stages of your degree. We also provide modules that are specifically designed to boost your employability. The second year module “maths at work” engages you in group-based project. At the start of the module, you’ll undertake a skills audit, then prepare a CV, research a company for a mock interview, and participate in an interview workshop. Depending on the nature of your specific project, you may produce a report for a client or deliver a piece of software or webpage. Throughout the module, you’ll develop team work, communication, and presentation skills.
If you’re considering a career in teaching, you can gain experience of working in a local school or college through either our “music students into schools” or “mathematics into schools” modules. You’ll prepare teaching materials, deliver mathematics or music activities through lessons or a club, and organise a project that shows students how exciting the subject you’re teaching can be.
We encourage you to prepare for your career from day one. That’s one of the reasons Leeds graduates are so sought after by employers.
Leeds for Life is our unique approach to helping you make the most of University by supporting your academic and personal development. Find out more at the Leeds for Life website.
The Careers Centre and staff in your faculty provide a range of help and advice to help you plan your career and make well-informed decisions along the way, even after you graduate. Find out more at the Careers website.
Study abroad and work placements
Study abroad
On this course you have the opportunity to apply to spend time abroad, usually as an extra academic year. We have over 300 University partners worldwide and popular destinations for our students include Europe, the USA, Canada, Australia, New Zealand, Singapore, Hong Kong, South Africa and Latin America.
Find out more at the Study Abroad website.
Spending a year living and studying in another country is a unique experience. Unlike the passing tourist, you have the chance to totally immerse yourself in another culture. You will gain unforgettable experiences and memories that you will draw upon in your working and personal life for years to come. In addition to this, the proven ability to live and work in an international context is an asset that many employers actively seek.
On this course, your year abroad adds an additional year to your studies. During your year abroad, you will study mathematics and music at your host institution.
Work placements
Practical work experience can help you decide on your career and improve your employability. On this course you have the option to apply to take a placement year module with organisations across the public, private and voluntary sectors in the UK, or overseas.
Find out more about work experience on the Careers website.
The industrial placement (“Year in Industry”) scheme provides you with the opportunity to experience salaried work before you graduate. Employers actively seek graduates who already have work experience and it can make all the difference in interviews.
On this course, your industrial placement adds an additional year to your studies.
An industrial placement will boost your self-confidence, not only in your chosen subject area, but in the marketplace generally. You will be able to choose from a range of mathematics or music-related organisations in which to work. In previous years, students have worked at many prestigious companies.
During your industrial placement you will have an industrial supervisor from within the company, plus an academic supervisor who will keep in touch throughout your placement.
If you are not sure right now whether or not an industrial placement is right for you, don't worry - you will not have to start applying for placements until the beginning of your second year.