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Mathematics and Music Technology

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Course details

  • UCAS code: G1W3
  • Study mode: Full-time
  • Length: 3 years

Key dates

  • Starts:

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Bachelor of Science

Bachelor of Science (BSc) is a bachelor’s degree awarded for an undergraduate programme in the sciences.

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Course overview

This programme combines Mathematics and Music Technology as a Joint Honours programme.

Introduction

The Music and Technology programme allows you to specialise in the vocational areas of recording and production, electronic music, sound design and composition for film and video gaming. In year one, core modules look at the foundations of creative music technology, sound, and production. In your second and final years, you will have a free choice of modules in both subjects, but this will include an independent project in Creative Music Technology.

Year in industry

Undergraduate students in the Department of Music have the opportunity to spend a year in industry, either in their third year, or by adding a ‘follow-on year’ at the end of their academic studies. These are paid placements within an organisation in industry, broadly defined, and you will receive support from the Department and the School of the Arts to source and apply for opportunities. Find out more about the difference between these options, including how to apply.

What you'll learn

  • Advanced understanding of sound and music technology theory
  • Practical and vocational skills in sound recording and production
  • Academic research skills
  • Critical and cultural awareness
  • Written and oral communication and presentation
  • Creativity

Teaching Excellence Framework 2023

We’re proud to announce we’ve been awarded a Gold rating for educational excellence.

Course content

Discover what you'll learn, what you'll study, and how you'll be taught and assessed.

Year one

You will take seven compulsory modules – four in Music Technology, and three in Mathematics – and choose one optional module in Mathematics.

Compulsory modules

Calculus I (MATH101)

Credits: 15 / Semester: semester 1

​At its heart, calculus is the study of limits. Many quantities can be expressed as the limiting value of a sequence of approximations, for example the slope of a tangent to a curve, the rate of change of a function, the area under a curve, and so on. Calculus provides us with tools for studying all of these, and more. Many of the ideas can be traced back to the ancient Greeks, but calculus as we now understand it was first developed in the 17th Century, independently by Newton and Leibniz. The modern form presented in this module was fully worked out in the late 19th Century. MATH101 lays the foundation for the use of calculus in more advanced modules on differential equations, differential geometry, theoretical physics, stochastic analysis, and many other topics. It begins from the very basics – the notions of real number, sequence, limit, real function, and continuity – and uses these to give a rigorous treatment of derivatives and integrals for real functions of one real variable.​ ​

CALCULUS II (MATH102)

Credits: 15 / Semester: semester 2

This module, the last one of the core modules in Year 1, is built upon the knowledge you gain from MATH101 (Calculus I) in the first semester. The syllabus is conceptually divided into three parts: Part I, relying on your knowledge of infinite series, presents a thorough study of power series (Taylor expansions, binomial theorem); part II begins with a discussion of functions of several variables and then establishes the idea of partial differentiation together with its various applications, including chain rule, total differential, directional derivative, tangent planes, extrema of functions and Taylor expansions; finally, part III is on double integrals and their applications, such as finding centres of mass of thin bodies. Undoubtedly, this module, together with the other two core modules from Semester 1 (MATH101 Calculus I and MATH103 Introduction to linear algebra), forms an integral part of your ability to better understand modules you will be taking in further years of your studies.

Introduction to Linear Algebra (MATH103)

Credits: 15 / Semester: semester 1

Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. It is the study of lines, planes, and subspaces and their intersections using algebra.

Linear algebra first emerged from the study of determinants, which were used to solve systems of linear equations. Determinants were used by Leibniz in 1693, and subsequently, Cramer’s Rule for solving linear systems was devised in 1750. Later, Gauss further developed the theory of solving linear systems by using Gaussian elimination. All these classical themes, in their modern interpretation, are included in the module, which culminates in a detailed study of eigenproblems. A part of the module is devoted to complex numbers which are basically just planar vectors. Linear algebra is central to both pure and applied mathematics. This module is an essential pre-requisite for nearly all modules taught in the Department of Mathematical Sciences.

INTRODUCTION TO DIGITAL AUDIO WORKSTATIONS (MUSI109)

Credits: 15 / Semester: semester 1

This module is an introduction to MIDI sequencing in Logic Pro and Ableton Live. It is suitable for complete beginners and intermediate users of Logic. Through lectures and workshops, both of which involve much hands on practice, students learn about MIDI sequencing, software instruments and Digital Audio Workstations (DAW). Topics and techniques covered include recording and editing MIDI; use of effects processors and mixing, software synthesis and sampler instruments. Two creative coursework projects, concentrating on differing compositional approaches and styles, enable students to demonstrate the technical and compositional skills taught and practiced during the module.

INTRODUCTION TO SOUND AND TECHNOLOGY (MUSI171)

Credits: 15 / Semester: semester 1

​​​The module introduces students to the basic principles of sound, acoustics and music technology. They will learn about many of the core concepts, relevant terminology and theories essential to modern music technology studies. Subjects covered will include acoustics and sound propagation, analogue and digital audio theory, key electronics theories and sound measurement systems. The module includes some practical work at a digital audio workstation. Normally, the module will include a visit to the University’s Acoustics Research Unit.​

INTRODUCTION TO SOUND RECORDING AND PRODUCTION (MUSI108)

Credits: 15 / Semester: semester 2

This module introduces students to Sound, Recording and Production techniques in the University Recording Studio. This is a practised based module where teaching is delivered through hands on workshops and lectures. Lectures will discuss recording, audio editing and effects processing techniques in Pro Tools. The weekly workshops, which are in small groups, will be led by the module leader who will demonstrate production techniques and then set group tasks which will allow students to practice key skills during the workshop sessions. By the end of the module the student will be competent enough to use the studio independently and effectively.

Students will complete two assessments. The first is an individual mixing assignment to be completed in the Mac Suites. Assignment 2 is a group recording project carried out in a University Studio and includes a group presentations about the project.

The History of Electronic Music (MUSI172)

Credits: 15 / Semester: semester 2

Content will include but not limited to:

Content will include but not limited to:
Musique concrete,
ElektronischeMusik,
American Experimentalism,
Tape composition,
Analogue Synthesizers,
Computer Music,
BBC Radiophonic Workshop
Electronic music in rock and jazz,
Noise Music – Japanoise, Noise in Rock, Metal, Punk and Hardcore
Hardware Hacking – Reed Ghazala and Nicholas Collins
Minimalism – Tape Looping and minimalist compositional practices
Sound Design in Cinema.

Optional modules

Introduction to Statistics using R (MATH163)

Credits: 15 / Semester: semester 2

Students will learn fundamental concepts from statistics and probability using the R programming language and will learn how to use R to some degree of proficiency in certain contexts. Students will become aware of possible career paths using statistics.

NEWTONIAN MECHANICS (MATH122)

Credits: 15 / Semester: semester 2

This module is an introduction to classical (Newtonian) mechanics. It introduces the basic principles like conservation of momentum and energy, and leads to the quantitative description of motions of bodies under simple force systems. It includes angular momentum, rigid body dynamics and moments of inertia.

Numbers, Groups and Codes (MATH142)

Credits: 15 / Semester: semester 2

A group is a formal mathematical structure that, on a conceptual level, encapsulates the symmetries present in many structures. Group homomorphisms allow us to recognise and manipulate complicated objects by identifying their core properties with a simpler object that is easier to work with. The abstract study of groups helps us to understand fundamental problems arising in many areas of mathematics. It is moreover an extremely elegant and interesting part of pure mathematics. Motivated by examples in number theory, combinatorics and geometry, as well as applications in data encryption and data retrieval, this module is an introduction to group theory. We also develop the idea of mathematical rigour, formulating our theorems and proofs precisely using formal logic.

Programme details and modules listed are illustrative only and subject to change.

Our curriculum

The Liverpool Curriculum framework sets out our distinctive approach to education. Our teaching staff support our students to develop academic knowledge, skills, and understanding alongside our graduate attributes:

  • Digital fluency
  • Confidence
  • Global citizenship

Our curriculum is characterised by the three Liverpool Hallmarks:

  • Research-connected teaching
  • Active learning
  • Authentic assessment

All this is underpinned by our core value of inclusivity and commitment to providing a curriculum that is accessible to all students.

Course options

Studying with us means you can tailor your degree to suit you. Here's what is available on this course.

Global Opportunities

University of Liverpool students can choose from an exciting range of study placements at partner universities worldwide. Choose to spend a year at XJTLU in China or a year or semester at an institution of your choice.

What's available on this course?

Year in China

Immerse yourself in Chinese culture on an optional additional year at Xi'an Jiaotong Liverpool University in stunning Suzhou.

  • Learn Chinese
  • Study in a bustling world heritage city
  • Improve employment prospects
  • Study Chinese culture
  • 30 minutes from Shanghai
  • Learn new skills

Read more about Year at XJTLU, China

Year in industry

Year in industry placements give you an in-depth workplace experience where you can develop your skills and apply your learning.

  • Develop key employability skills that graduate employers are looking for
  • Experience and understand workplace culture and disciple
  • Understand the relationship between academic theory and real world application
  • Begin your professional network
  • Gain industry insight and insight into potential career options.

You don't need to decide now - you can choose to add a year in industry after you've begun your degree.

Learn more about year in industry

To spend a year in industry, you'll need to secure a placement with an organisation. If you're unable to find a placement, you'll continue with the standard version of the course without a year in industry.

Language study

Every student at The University of Liverpool can study a language as part of, or alongside their degree. You can choose:

  • A dedicated languages degree
  • A language as a joint or major/ minor degree
  • Language modules (selected degrees)
  • Language classes alongside your studies

Read more about studying a language

Your experience

Much of your teaching will take place in the Department of Music. Our recently renovated facilities include studios, teaching spaces and industry standard equipment, and we recently opened the Tung Auditorium: a 400-seat state of the art performance venue, which has been developed to support our requirements and to function as a public-facing space for concerts outside of teaching time.

Virtual tour

Supporting your learning

From arrival to alumni, we’re with you all the way:

Why study Music at Liverpool?

  • We pride ourselves on being an innovative department that embraces the full spectrum of music, from the great works of the past to emerging trends such as sound for computer games
  • Our staff and students come from a variety of performance and non-performance backgrounds and share interests that span classical, popular, world and film music
  • Long established as a classical music department, in 1988 we created the Institute of Popular Music – the world’s first specialist centre for the study of Popular Music
  • Music placed in the top quartile for impact classified as outstanding (4*) (REF 2021)
  • Our recently refurbished facilities boast brand new studios, teaching spaces, and industry standard equipment. These include recording and production studios, an SSL studio, practice rooms with Yamaha pianos, a multipurpose rehearsal and performance space, iMac suites and a games research lab
  • In March 2022 we opened the Tung Auditorium, a new state-of-the-art performance venue seating up to 400 people, with space for a 70-piece orchestra.

Careers and employability

A mathematically-based degree opens up a wide range of career opportunities, including some of the most lucrative professions.

Recent employers of our graduates are:

  • Barclays Bank plc
  • Deloitte
  • Forrest Recruitment
  • Marks and Spencer
  • Mercer Human Resource Consulting Ltd.
  • Venture Marketing Group.
  • BAE Systems
  • BT
  • Guardian Media Group
  • Royal Bank of Scotland
  • Siemens
  • Unilever.

80% of music students will go on to work and/or further study 15 months after graduation.

Discover Uni, 2018-19.

Fees and funding

Your tuition fees, funding your studies, and other costs to consider.

Tuition fees

UK fees (applies to Channel Islands, Isle of Man and Republic of Ireland)
Full-time place, per year £9,250
Year in industry fee £1,850
Year abroad fee £1,385
International fees
Full-time place, per year £24,800
Year in industry fee £1,850
Year abroad fee £12,400
Fees are correct for the academic year 2024/25. Please note that the Year Abroad fee also applies to the Year in China.

Tuition fees cover the cost of your teaching and assessment, operating facilities such as libraries, IT equipment, and access to academic and personal support. Learn more about paying for your studies..

Additional costs

We understand that budgeting for your time at university is important, and we want to make sure you understand any course-related costs that are not covered by your tuition fee. This could include buying a laptop, books, or stationery.

Find out more about the additional study costs that may apply to this course.

Additional study costs

We understand that budgeting for your time at university is important, and we want to make sure you understand any course-related costs that are not covered by your tuition fee. This could include buying a laptop, books, or stationery.

Find out more about additional study costs.

Scholarships and bursaries

We offer a range of scholarships and bursaries to provide tuition fee discounts and help with living expenses while at university.

Check out our Liverpool Bursary, worth up to £2,000 per year for eligible UK students. Or for international students, our Undergraduate Global Advancement Scholarship offers a tuition fee discount of up to £5,000 for eligible international students starting an undergraduate degree from September 2024.

Discover our full range of undergraduate scholarships and bursaries

Entry requirements

The qualifications and exam results you'll need to apply for this course.

We've set the country or region your qualifications are from as United Kingdom. Change it here

Clearing 2024

Please see our Clearing course information for details of the qualifications and exam results you'll need to apply for this course for 2024 entry.

View the Clearing entry requirements for this course.

English language requirements

You'll need to demonstrate competence in the use of English language, unless you’re from a majority English speaking country.

We accept a variety of international language tests and country-specific qualifications.

International applicants who do not meet the minimum required standard of English language can complete one of our Pre-Sessional English courses to achieve the required level.

English language qualification Requirements
IELTS 6.5 overall, with no component below 5.5
TOEFL iBT 88 overall, with minimum scores of listening 17, writing 17, reading 17 and speaking 19
Duolingo English Test 120 overall, with no component below 95
Pearson PTE Academic 61 overall, with no component below 59
LanguageCert Academic 65 overall, with no skill below 60
Cambridge IGCSE First Language English 0500 Grade C overall, with a minimum of grade 2 in speaking and listening. Speaking and listening must be separately endorsed on the certificate.
Cambridge IGCSE First Language English 0990 Grade 4 overall, with Merit in speaking and listening
Cambridge IGCSE Second Language English 0510/0511 0510: Grade B overall, with a minimum of grade 2 in speaking. Speaking must be separately endorsed on the certificate. 0511: Grade B overall.
Cambridge IGCSE Second Language English 0993/0991 0993: Grade 6 overall, with a minimum of grade 2 in speaking. Speaking must be separately endorsed on the certificate. 0991: Grade 6 overall.
International Baccalaureate Standard Level grade 5 or Higher Level grade 4 in English B, English Language and Literature, or English Language
Cambridge ESOL Level 2/3 Advanced 176 overall, with no paper below 162

PRE-SESSIONAL ENGLISH

Do you need to complete a Pre-Sessional English course to meet the English language requirements for this course?

The length of Pre-Sessional English course you’ll need to take depends on your current level of English language ability.

Find out the length of Pre-Sessional English course you may require for this degree.

Pre-sessional English

If you don’t meet our English language requirements, we can use your most recent IELTS score, or the equivalent score in selected other English language tests, to determine the length of Pre-Sessional English course you require.

Use the table below to check the course length you're likely to require for your current English language ability and see whether the course is available on campus or online.

Your most recent IELTS score Pre-Sessional English course length On campus or online
6.0 overall, with no component below 5.5 6 weeks On campus
5.5 overall, with no component below 5.5 10 weeks On campus and online options available
5.5 overall, with no more than one component below 5.5, and no component below 5.0 12 weeks On campus and online options available
5.5 overall, with no component below 4.5 20 weeks On campus
5.0 overall, with no component below 4.5 30 weeks On campus
4.5 overall, with no more than one component below 4.5, and no component below 4.0 40 weeks On campus

If you’ve completed an alternative English language test to IELTS, we may be able to use this to assess your English language ability and determine the Pre-Sessional English course length you require.

Please see our guide to Pre-Sessional English entry requirements for IELTS 6.5, with no component below 5.5, for further details.

Changes to Mathematics and Music Technology BSc (Hons)

See what updates we've made to this course since it was published. We document changes to information such as course content, entry requirements and how you'll be taught.

7 June 2022: New course pages

New course pages launched.