Ewch i’r prif gynnwys

Mathemateg a Cherddoriaeth gyda Blwyddyn Dramor (BA)

Blwyddyn Mynediad

Mae'r cynnwys hwn ar gael yn Saesneg yn unig.

Mae’r rhaglen Gradd Gyd-anrhydedd hon yn galluogi myfyrwyr i astudio Cerddoriaeth a Mathemateg ar y cyd.

Cadwch le ar ddiwrnod agored

Trosolwg y cwrs

As a joint honours student of Music and Mathematics, you will find there are often complementary issues and perspectives as well as skills that link subjects, be they critical analysis, historical contexts or recent research. You will spend a similar amount of time on each subject, developing your musical understanding and skills while studying the fascinating and challenging subject of Mathematics.

This four-year course allows you to spend the third year broadening your horizons by studying abroad.

This course will provide you with a sound basis of knowledge, understanding and skills in the main areas of mathematics, alongside experience of a range of musical disciplines, including performance, composition, historical and critical musicology, ethnomusicology and acoustics.

You will develop an ease with abstract mathematical concepts, logical argument and deductive reasoning, as well as a portfolio of skills associated with literate musicianship.

Later in the course you can study appropriate advanced mathematical topics and at least one area of musical specialisation.

Graduates from this course have moved into music-specific areas such as performance and composition, postgraduate study in mathematics and music and various roles needing a numerate or analytical approach.

Cardiff is a great place for the study of music in the UK, as home to Welsh National Opera and the BBC National Orchestra of Wales. School of Music students can attend dress rehearsals and buy cut-price tickets for concerts.

You are expected to have gained or shown evidence of working towards Grade 8 in one or more instruments or voice at the time of your application. You may be considered if you are not taking A-level Music but have (or are working towards)  Grade 7/8 Theory and are studying appropriate Humanities subjects at A-level.

Nodweddion nodedig

The distinctive features of the degree include:

  • Instrumental tuition which is fully funded by the School of Music on your principal study instrument for students taking a Practical Musicianship module
  • Business of Music modules which offer a short work placement
  • Composition workshops, performance masterclasses, the University concert series, the John Bird lectures presented by visiting academics and the careers talks which provide many opportunities for contact with active music professionals
  • Mathematics classes which are used to discuss both theoretical concepts and essential techniques
  • A year is spent studying at a partner institution abroad.
Derbyniad nesafMedi 2020
Hyd4 blwyddyn
Modd (astudio)Llawn amser gyda blwyddyn dramor
Lleoedd sydd ar gael fel arferThe School of Music typically has 70 places available
Nifer y ceisiadau a dderbynnir fel arferThe School of Music typically receives 350 applicants 
  1. Yr Ysgol Mathemateg

    Adeilad Mathemateg ac Addysg

    Ffordd Senghennydd


    CF24 4AG

  2. Yr Ysgol Cerddoriaeth

    Adeilad Cerddoriaeth

    31 Heol Corbett



    CF10 3EB

Gofynion mynediad

AAB - ABB, including an A in Mathematics and B in Music. Please note Critical Thinking and General Studies will not be accepted. Please also see ‘Other requirements' below.   

Cymhwyster Prosiect Estynedig: Fel arfer, bydd ymgeiswyr sydd wedi ennill gradd A yn y Cymhwyster Prosiect Estynedig (EPQ) yn cael cynnig un radd yn is na’r cynnig safonol ar gyfer Safon Uwch. Noder bod yn rhaid bodloni unrhyw ofynion sy’n benodol i’r pwnc o hyd

Derbynnir Tystysgrif Her Sgiliau Bagloriaeth Cymru Uwch yn lle un pwnc Safon Uwch (ar y graddau a restrir uchod) ac eithrio unrhyw bynciau penodol.

Grades DD in a BTEC Diploma in Music plus Grade A in A-Level Maths. Please also see ‘Other requirements' below. 

35-31 points, to include 6 in HL Music and 6 in HL Mathematics. Please also see ‘Other requirements' below. 

Gallai cymwysterau amgen gael eu derbyn. Cewch ragor o wybodaeth am ofynion mynediad ar dudalen meini prawf derbyn Ysgol Mathemateg ac Ysgol Cerddoriaeth.


Gradd C neu radd 4 mewn TGAU Iaith Saesneg.

IELTS (academic)

O leiaf 6.5 yn gyffredinol gydag o leiaf 5.5 ym mhob is-sgil.


O leiaf 90 ar y cyfan gyda sgôr o 17 o leiaf ar gyfer ysgrifennu, 17 ar gyfer gwrando, 18 ar gyfer darllen a 20 ar gyfer siarad.

PTE Academic

O leiaf 62 ar y cyfan gydag o leiaf 51 yn yr holl sgiliau cyfathrebu.

Trinity ISE II/III

II: dau Ragoriaeth a dau Deilyngdod o leiaf.
III: o leiaf Llwyddo ym mhob cydran.

Cymwysterau eraill a dderbynnir

Os ydych yn ymgeisydd tramor ac nid Saesneg yw eich iaith gyntaf, ewch i'n tudalen am ofynion Iaith Saesneg i gael rhagor o wybodaeth am ba gymwysterau y byddwn yn eu derbyn.

You will require GCSE Maths at grade C/4, and GCSE English or Welsh Language at grade C/4 or an accepted English Language equivalent  You will be required to have, or be working towards, Grade 8 Music Practical in an instrument or voice.  

Ffioedd dysgu

Myfyrwyr y DU ac UE (2020/21)

Ffioedd DysguBlaendal

Ewch i'n tudalennau ffioedd dysgu i gael y wybodaeth ddiweddaraf.

Gallai cymorth ariannol fod ar gael ar gyfer unigolion sy'n bodloni rhai meini prawf. Cewch ragor o wybodaeth yn ein hadran arian. Dim ond hyn a hyn o gymorth ariannol y gall y ffynonellau hyn eu cynnig, felly ni allwn warantu y bydd pawb sy'n bodloni'r meini prawf yn cael arian.

Myfyrwyr tu allan i'r UE (2020/21)

Ffioedd DysguBlaendal

Ewch i'n tudalennau ffioedd dysgu i gael y wybodaeth ddiweddaraf.

Gallai cymorth ariannol fod ar gael ar gyfer unigolion sy'n bodloni rhai meini prawf. Cewch ragor o wybodaeth yn ein hadran arian. Dim ond hyn a hyn o gymorth ariannol y gall y ffynonellau hyn eu cynnig, felly ni allwn warantu y bydd pawb sy'n bodloni'r meini prawf yn cael arian.

Costau blynyddoedd rhyngosod

Yn ystod blwyddyn ryngosod, (e.e. blwyddyn mewn diwydiant, blwyddyn ar leoliad neu flwyddyn dramor), bydd y ffi yn is. Cewch fanylion llawn ar ein tudalennau ffioedd.

Costau ychwanegol

Cyfarpar ar gyfer cwrs penodol

Other than your principal study instrument, you will not need any specific equipment.


Mae gennym amrywiaeth o breswylfeydd sydd yn gweddu i anghenion a phoced yr unigolyn. Cewch wybod rhagor ar ein tudalennau llety.

Strwythur y cwrs

This is a four-year full-time degree, consisting of 120 credits a year, split equally between the two Schools. Most modules are worth 20 credits.

The modules shown are an example of the typical curriculum and will be reviewed prior to the 2017/18 academic year. The final modules will be published by September 2017.

Mae'r modiwlau a ddangosir yn esiampl o'r cwricwlwm arferol. Byddant yn cael eu hadolygu cyn blwyddyn academaidd 2020/21. Bydd y modiwlau terfynol yn cael eu cyhoeddi erbyn mis Medi 2020

Blwyddyn un

In Music, year one prepares you to take advantage of the creative and intellectual benefits of higher education. You will receive core instruction in analysis, harmony and counterpoint, history of music, composition and practical musicianship.

 As a BA student you will take a free choice from these topics, subject to availability.

To complement your academic study, you are actively encouraged to join the University Choir or Orchestra and other ensembles.

In Mathematics, year one consists of four compulsory modules. These are Foundations of Mathematics I, Vectors and Matrices, Foundations of Mathematics and Elementary Differential Equations. 

Note that in both subjects some modules are ‘prerequisites’, providing essential preparation for more advanced modules if you wish to pursue them in later years.

Teitl modiwlCôd modiwlCredydau
Elementary Differential EquationsMA100110 credydau
Foundations of Mathematics IMA100520 credydau
Foundations of Mathematics IIMA100620 credydau
Linear Algebra IMA100810 credydau
Teitl modiwlCôd modiwlCredydau
Composition 1AMU110710 credydau
Ethnomusicology 1: Music in Human LifeMU112410 credydau
Elements of Tonal Music 1MU112520 credydau
The Full WorksMU112710 credydau
Elfennau 1MU113520 credydau
Composition 1BMU120810 credydau
A History of Popular MusicMU122610 credydau
Elements of Tonal Music 2MU122720 credydau
From Page to Stage: Dramaturgy in Musical TheatreMU123010 credydau
Composing the LandscapeMU123110 credydau
Elfennau 2MU123720 credydau
Practical Musicianship 1MU131410 credydau
Repertoire StudiesMU131720 credydau
Cerddoriaeth Ymarferol IMU132410 credydau
Astudiaethau RepertoireMU132720 credydau

Blwyddyn dau

In Music, courses are more advanced and you will focus on more specialist topics, choosing from four groups: Composition and Electroacoustic Studies, Written and Practical Musicianship, Analytical and Critical Skills, and Historical Studies.

Our year two modules on the Business of Music I/II are designed to help you better understand different branches of the music profession and give an opportunity for a short placement in an area related to music or the arts, either in one block or as a series of regular workplace visits.

In Mathematics, please see the module list to see the specifics of individual modules available.  

Note that Statistics as a subject area is not available to students taking Music.

Teitl modiwlCôd modiwlCredydau
Calculus of Several VariablesMA200110 credydau
Complex AnalysisMA200310 credydau
Series and TransformsMA200410 credydau
Linear Algebra IIMA200820 credydau

Blwyddyn tri: Blwyddyn Ryngosod

Year three is spent studying abroad. The University has academic links in France, Belgium, Switzerland, Germany, Italy, Spain, Australia, Canada and the United States. Students studying abroad are entitled to their usual loans and travel grants are available from the Cardiff University Global Opportunities Centre.

Any student who undertakes a study placement or a traineeship/work placement in Europe is eligible to apply for an Erasmus grant.

While you are away from Cardiff, you will be assigned to the Year Abroad coordinator, who will keep in touch and monitor your progress. You will also be assigned a personal tutor at the host institution.

Teitl modiwlCôd modiwlCredydau
Study AbroadMU2400120 credydau

Blwyddyn pedwar

In Music, you choose again from the four subject groups, and may pursue one of the three major academic projects: Dissertation, Project in Ethnomusicology, or Project in Music Analysis. 

You may complete a short composition portfolio (Composition IV) and/or an ‘open’ recital in front of examiners and an invited audience (Practical Musicianship IV).

There are no core modules for Mathematics in year four.

Teitl modiwlCôd modiwlCredydau
Complex Function TheoryMA300010 credydau
CombinatoricsMA300410 credydau
Introduction to Functional and Fourier AnalysisMA300520 credydau
Coding TheoryMA300710 credydau
Ordinary Differential EquationsMA301210 credydau
Theoretical and Computational Partial Differential EquationsMA330320 credydau
Methods of Applied MathematicsMA330420 credydau
Game TheoryMA360410 credydau
Mathematical Methods for Data MiningMA370010 credydau
Practical Musicianship 3 (Ensemble)MU313710 credydau
The Birth of ModernismMU314910 credydau
Studio Techniques 2: Audio and Hard Disk RecordingMU316320 credydau
20th Century Contrapuntal PracticeMU316410 credydau
The Birth of ModernismMU316520 credydau
Nineteenth Century Italian OperaMU316810 credydau
Nineteenth Century Italian OperaMU316920 credydau
The Cultures of BeethovenMU317410 credydau
The Cultures of BeethovenMU317520 credydau
Studio Techniques 2: Audio and Hard Disk RecordingMU326720 credydau
Wagner and Romantic OperaMU327410 credydau
Wagner and Romantic OperaMU327520 credydau
Performance Practice and Organology the Long Seventeenth Century, 1550-1700MU328410 credydau
Performance Practice and Organology the Long Seventeenth Century, 1550-1700MU328520 credydau
Jazz, Culture and PoliticsMU328610 credydau
Jazz, Culture and PoliticsMU328720 credydau
FugueMU328810 credydau
Aural Cultures from the Phonograph to the SmartphoneMU328910 credydau
Aural Cultures from the Phonograph to the SmartphoneMU329020 credydau
DissertationMU334030 credydau
Project in Music AnalysisMU334330 credydau
Practical Musicianship 4 (Performance)MU334420 credydau
Composition 4MU334520 credydau
Project in EthnomusicologyMU334630 credydau
Practical Contribution Portfolio 3MU334710 credydau
TraethawdMU335030 credydau
Cerddoriaeth Ymarferol IV (Perfformiad)MU335420 credydau
Mae'r Brifysgol wedi ymrwymo i ddarparu amrywiaeth eang o opsiynau modiwl lle’n bosibl. Ond byddwch yn ymwybodol er y byddwn yn gwneud pob ymdrech i gynnig dewis, gall hyn gael ei gyfyngu mewn rhai amgylchiadau. Y rheswm am hyn yw'r ffaith mai dim ond nifer cyfyngedig o leoedd sydd ar gael ar rai modiwlau, a gaiff eu dyrannu ar sail y cyntaf i'r felin. Mae'n ofynnol i fodiwlau eraill sicrhau isafswm nifer o fyfyrwyr cyn gallu eu cynnal, er mwyn gwneud yn siŵr y gellir cyflwyno addysg o ansawdd priodol. Gall modiwlau gael eu cyfyngu oherwydd gwrthdaro yn yr amserlen hefyd, ac er bod y Brifysgol yn ymdrechu i amharu cyn lleied â phosibl ar eich dewis, byddai'n syniad da i chi ofyn am gyngor gan yr Ysgol berthnasol am y dewisiadau modiwl sydd ar gael.

Dysgu ac asesu

Sut caf fy addysgu?

In Music, you will be taught by academic staff with expertise across composition, performance, musicology, ethnomusicology, and popular music.

Instrumental tuition is fully funded by the School on your principal study instrument if you are studying a Practical Musicianship module. This includes accompaniment at your final recital. You will receive 24 half-hour lessons over the course of the year.

We use a range of teaching and learning styles, including lectures, small-group seminars and workshops, individual tutorials, ensemble instrumental tuition, rehearsals and independent study.

Mathematics is based on lectures supported by examples classes (and laboratory classes where appropriate).  In all years the classes are used to discuss both theoretical concepts and essential mathematical techniques. You are encouraged to undertake additional reading outside of timetabled classes and fully engage with and reflect upon the assessments that take place.  Feedback on progress is typically provided through a combination of discussion in class, written comments on submitted work and review of outline solutions to problems. You are encouraged to discuss any queries related to specific modules with individual lecturers.

Sut y caf fy nghefnogi?

For Music at the start of each year you will be given a guide to module aims, learning outcomes, methods of assessment, module syllabuses, and reading and listening lists. Your allocated personal tutors will be able to provide advice and guidance on module choices and you will have regular meetings with them.

For the final-year projects you will have a supervisor to monitor progress and provide individual consultations by arrangement.

In Mathematics there are scheduled academic tutorials for all core modules in Year One, and you will also be assigned a Personal Tutor who can offer pastoral advice, guidance and support.  There is also a daily drop-in service based in the School where you can ask any maths-related question.

You will have access through the Learning Central website to relevant multimedia material, presentations, lecture handouts, bibliographies, further links, electronic exercises and discussion circles.

The University offers a range of services including the Careers Service, the Counselling Service, the Disability and Dyslexia Service, the Student Support Service, and excellent libraries and resource centres.

Sut caf fy asesu?

Methods of assessment vary from module to module and may include essay assignments, presentations, extended projects, performances, and written exams.

NOTE: The University welcomes applications from disabled students and we may be able to offer alternative assessment methods. However, this may not always be possible, for example where performance is a mode of assessment in a performance module.  Such competence standards may limit the availability of adjustments or alternative assessments. For assessment details, please refer to the module descriptions.

Many mathematics modules include written examinations that take place at the end of the Autumn or Spring Semester, with some also having an element of continuous assessment. This may include problem solving exercises, written reports, computer programs or presentations.  Please see the module descriptions for further details.

Pa sgiliau bydda i’n eu hymarfer a’u datblygu?

You will acquire and develop a range of valuable skills, both discipline specific and more generic ‘employability skills’, such as:

  • advanced literacy
  • computer literacy
  • applying logical and analytic thinking to problems
  • oral and written communication skills
  • coping with uncertainty/complexity
  • creativity and innovative thinking
  • leadership, teamwork and self-management, embedded in practical musical activities
  • identifying, recording and communicating your relevant career attainments
  •  maturity and self-confidence from spending a year studying abroad

Gwybodaeth arall

The University is committed to providing a wide range of module options where possible, but please be aware that whilst every effort is made to offer choice this may be limited in certain circumstances. This is due to the fact that some modules have limited numbers of places available, which are allocated on a first-come, first-served basis, while others have minimum student numbers required before they will run, to ensure that an appropriate quality of education can be delivered; some modules require students to have already taken particular subjects, and others are core or required on the programme you are taking. Modules may also be limited due to timetable clashes, and although the University works to minimise disruption to choice, we advise you to seek advice from the relevant School on the module choices available.


Gyrfaoedd a lleoliadau gwaith

Rhagolygon gyrfa

​School of Music

In 2015/16, 95% of the School’s graduates who were available for work reported they were in employment and/or further study within six months of graduating.

The skills developed within a music degree help our students to progress to a wide range of careers, both within and beyond the music profession.

Employability skills are embedded in modules at the School of Music so that you will learn both music-specific and academic skills that are transferable to other domains, especially the workplace. Our second-year modules on the Business of Music are designed to help you better understand different branches of the music profession and provide an opportunity to undertake a short placement in a music-related or arts-related area.

Our annual series of talks on Careers in Music offer a great chance to meet professionals active in a range of fields such as performance, music education, music journalism, arts and artist management, production and licensing, and composing for media.

​School of Mathematics

In 2015/16, 89% of the School’s graduates who were available for work reported they were in employment and/or further study within six months of graduating.

The Mathematics degree programmes at Cardiff will equip you with specialist numerical skills and develop your capacity for logical and analytical thought. These are qualities which are in demand across a broad range of stimulating and rewarding careers. 

In addition to the formal teaching on the programme the School of Mathematics also has significant engagement with the Careers Service and Employers. This includes a Careers Management Skills Programme, numerous company presentations held in the School, presentations by students returning from industry, and a range of sponsored prizes awarded for academic achievement.


Year two modules on the Business of Music I/II give an opportunity for a short placement, either in one block or as a series of regular workplace visits.

Year three is spent studying abroad at one of our partner institutions.

Astudio yn Gymraeg

Mae hyd at 17% o'r cwrs hwn ar gael drwy gyfrwng y Gymraeg. Cysylltwch â'r Tiwtor Derbyn am wybodaeth bellach.


Diwrnod agored nesaf i israddedigion

Gwanwyn 2020




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