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Mathematics and Music Technology

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Ready to apply? You can apply for this course online now using the UCAS website. The deadline for UK students to apply for this course is 25 January 2023.

The deadline for international students is 30 June 2023.

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Use these details to apply for this course through UCAS:

  • University name: University of Liverpool
  • Course: Mathematics and Music Technology G1W3
  • Location: Main site
  • Start date: 25 September 2023

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Bachelor of Science

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

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.

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

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 LOGIC (MUSI109)

Credits: 15 / Semester: semester 2

This module is an introduction to MIDI sequencing and Apple’s Logic Pro X. 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 1

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:

Musique concrete,
ElektronischeMusik,
American Experimentsalism,
Tape composition,
Analogue Synthesizers,
Computer Music,
BBC Radiophonic Workshop
Electronic music in rock and jazz,
Electronic dance music,
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. MATH122 provides the foundations for more advanced modules like MATH228, 322, 325, 326, 423, 425 and 431.

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

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

Careers and employability

A mathematically-based degree opens up a wide range of career opportunities, including some of the most lucrative professions. Typical types of work our graduates have gone onto include as an actuarial trainee analyst in the audit practice, a graduate management trainee risk analyst and as a trainee chartered accountant on a graduate business programme. Employers value mathematicians’ high level of numeracy and problem solving skills.

Financial rewards are impressive, research by Pricewaterhouse Coopers revealed that mathematical science graduates earn on average an extra £241,749 over their lifetime than those who leave school after A levels. This is the third highest ‘graduate premium’ of all subject areas.

Discover Uni, 2018-19.

Preparing you for future success

At Liverpool, our goal is to support you to build your intellectual, social, and cultural capital so that you graduate as a socially-conscious global citizen who is prepared for future success. We achieve this by:

  • Embedding employability within your , through the modules you take and the opportunities to gain real-world experience offered by many of our courses.
  • Providing you with opportunities to gain experience and develop connections with people and organisations, including student and graduate employers as well as our global alumni.
  • Providing you with the latest tools and skills to thrive in a competitive world, including access to Handshake, a platform which allows you to create your personalised job shortlist and apply with ease.
  • Supporting you through our peer-to-peer led Careers Studio, where our career coaches provide you with tailored advice and support.

Fees and funding

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

Tuition fees

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 tuition fees, funding and student finance.

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 help cover tuition fees and help with living expenses while at university.

Scholarships and bursaries you can apply for from the United Kingdom

Entry requirements

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

My qualifications are from: United Kingdom.

Your qualification Requirements

About our typical entry requirements

A levels

ABB

Applicants with the Extended Project Qualification (EPQ) are eligible for a reduction in grade requirements. For this course, the offer is ABC with A in the EPQ.

You may automatically qualify for reduced entry requirements through our contextual offers scheme.

GCSE 4/C in English and 4/C in Mathematics
Subject requirements

Including A level Mathematics at grade A and A level Music or Music Technology at grade B (or ABRSM Grade 8 in Music Theory at Distinction).

For applicants from England: Where a science has been taken at A level (Chemistry, Biology or Physics), a pass in the science practical of each subject will be required.

BTEC Level 3 National Extended Diploma

D*DD in relevant diploma, when combined with A Level Mathematics grade A

International Baccalaureate

33 including 6 in each of Higher Level Mathematics and Higher Level Music.

Irish Leaving Certificate H1, H2, H2, H2, H3, H3 including Mathematics at H1 and Music at H2
Scottish Higher/Advanced Higher

Advanced Highers accepted at grades ABB including grade A in Mathematics and grade B in Music

Welsh Baccalaureate Advanced Acceptable at grade B alongside AB at A level including grade A in Mathematics and grade B in Music or Music Technology.
Access 45 Level 3 credits in graded units in a relevant Diploma, including 39 at Distinction and a further 6 with at least Merit. 15 Distinctions are required in Mathematics. A Level grade B in Music or Music Technology, or ABRSM Grade 8 in Music Theory at Distinction also required.
International qualifications

Many countries have a different education system to that of the UK, meaning your qualifications may not meet our direct entry requirements. Although there is no direct Foundation Certificate route to this course, completing a Foundation Certificate, such as that offered by the University of Liverpool International College, can guarantee you a place on a number of similar courses which may interest you.

Contextual offers: reduced grade requirements

Based on your personal circumstances, you may automatically qualify for up to a two-grade reduction in the entry requirements needed for this course. When you apply, we consider a range of factors – such as where you live – to assess if you’re eligible for a grade reduction. You don’t have to make an application for a grade reduction – we’ll do all the work.

Find out more about how we make reduced grade offers.

About our entry requirements

Our entry requirements may change from time to time both according to national application trends and the availability of places at Liverpool for particular courses. We review our requirements before the start of the new UCAS cycle each year and publish any changes on our website so that applicants are aware of our typical entry requirements before they submit their application.

Recent changes to government policy which determine the number of students individual institutions may admit under the student number control also have a bearing on our entry requirements and acceptance levels, as this policy may result in us having fewer places than in previous years.

We believe in treating applicants as individuals, and in making offers that are appropriate to their personal circumstances and background. For this reason, we consider a range of factors in addition to predicted grades, widening participation factors amongst other evidence provided. Therefore the offer any individual applicant receives may differ slightly from the typical offer quoted in the prospectus and on the website.

Alternative entry requirements

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.