Ewch i’r prif gynnwys

Mathemateg (MSc)

  • Hyd: 1 flwyddyn
  • Dull astudio: Amser llawn

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

Dyddiad dechrau

Diwrnod agored

Dysgwch am astudio'n ôl-raddedig yma yn ystod ein Diwrnod Agored nesaf.

Pam astudio’r cwrs hwn

Mae ein MSc mewn Mathemateg yn archwilio byd hynod ddiddorol, heriol ac urddasol Mathemateg; gan dywys eich sylfaen sgiliau o BSc mewn Mathemateg (neu debyg) tuag at bwynt lle gallwch gychwyn ar ymchwil wreiddiol ym maes Mathemateg Pur a Chymhwysol.

Our MSc Mathematics delves into the fascinating, challenging and elegant world of mathematics; taking your skillset and knowledge base from a BSc in Mathematics (or similar) towards a point where you can embark on original research in pure and applied mathematics.

The course consists of a mixture of taught modules in pure and applied mathematics, self-study modules which build skills crucial for both a research degree and the workplace, and a dissertation, which allows you to research mathematics under the guidance of experienced, research active academics.

This one year degree is the ideal preparation if you want to go on to do a PhD, work in research or for a technological company. You will gain a deeper understanding of mathematics and develop skills in demand by a range of prospective employers.

Nodweddion unigryw

  • available on a one year full-time basis
  • offers a sound basis of knowledge, understanding and skills in the main areas of mathematics
  • encourages an understanding of abstract mathematical concepts, logical argument and deductive reasoning
  • offers an education in mathematics appropriate for those intending to become professional mathematicians, or who wish to gain a deeper understanding of mathematics
  • provides an opportunity to undertake a supervised dissertation at an advanced level
  • students are taught and supervised by our research active staff, who will offer guidance and advice on an individual basis

Ble byddwch yn astudio

Yr Ysgol Mathemateg

Mae ein graddau deallusol cyffrous wedi'u hachredu er mwyn cwrdd â gofynion addysgol enwebiad Mathemategydd Siartredig.

  • icon-chatGofyn cwestiwn
  • Telephone+44 (0)29 2087 4811
  • MarkerFfordd Senghennydd, Cathays, Caerdydd, CF24 4AG

Meini prawf derbyn

Academic requirements: 

Typically, you will need to have either: 

  • a 2:1 honours degree in mathematics or a related discipline with a strong mathematical component, covering basics of real analysis and linear algebra, or, an equivalent international degree
  • a university-recognised equivalent academic qualification
  • or relevant professional experience evidenced by a reference. The reference must be from your employer to evidence that you currently work in an area relevant to the programme. This should be signed, dated and less than six months old at the time you submit your application.

English Language requirements:

IELTS with an overall score of 6.5 with 6.0 in all subskills, or an accepted equivalent. 

Application deadline:

We allocate places on a first-come, first-served basis, so we recommend you apply as early as possible. 

Selection process: 

We will review your application and if you meet the entry requirements, we will make you an offer. 

Rhagor o wybodaeth am ofynion Iaith Saesneg.

Mae'n rhaid i ymgeiswyr sydd angen Fisa myfyriwr i astudio yn y DU gyflwyno cymhwyster iaith Saesneg derbyniol er mwyn bodloni gofynion UKVI (Fisâu a Mewnfudo y DU).

Euogfarnau troseddol

You are not required to complete a DBS (Disclosure Barring Service) check or provide a Certificate of Good Conduct to study this course.

If you are currently subject to any licence condition or monitoring restriction that could affect your ability to successfully complete your studies, you will be required to disclose your criminal record. Conditions include, but are not limited to:

  • access to computers or devices that can store images
  • use of internet and communication tools/devices
  • curfews
  • freedom of movement, including the ability to travel to outside of the UK or to undertake a placement/studies outside of Cardiff University
  • contact with people related to Cardiff University.

Strwythur y cwrs

This course is of one-year duration. All students complete a 20 credit reading module designed to develop research and other transferable skills; this can be done in either semester 1 or 2. Students also take 100 credits of optional modules in the taught component of the programme. This is followed by a 60 credit dissertation which will be undertaken over the summer, under the guidance of an experienced, research active academic.

The programme has two principle pathways, in pure and applied mathematics, but students can also access taught modules in all of the main areas of the School’s expertise: Algebra, Analysis, Applied and Computational Mathematics, Operational Research and Statistics.

Mae'r modiwlau a ddangosir yn esiampl o'r cwricwlwm arferol. Byddant yn cael eu hadolygu cyn blwyddyn academaidd 2022/23. Bydd y modiwlau terfynol yn cael eu cyhoeddi erbyn mis Medi 2022.

An explanation of the programme structure, and guidance in the choice of optional modules, is provided during the induction week. All students are assigned a personal tutor, to provide support and guidance throughout the programme.

All MSc Mathematics students are expected to have completed and passed Real Analysis and Linear Algebra or equivalent at the second year level of their undergraduate degree. There are two principal pathways through the MSc degree: pure and applied. To take the pure pathway you will need to have completed a third year level course on functional and Fourier analysis. To take the applied pathway you will need to have completed a third year level course on partial differential equations and their applications.

All MSc Mathematics students are required to take the core Reading Module MA4901 in either the Autumn or Spring semester.

Some of the optional modules have additional requirements, such as a background in probability/statistics or in number theory.

Students are encouraged to discuss their prerequisites and ways to make up for some gaps with their Admissions Tutor and, after enrolment, with their Personal Tutor.

You are required to achieve at least a 50% average and pass all 120 credits to continue to the dissertation stage. The dissertation is worth 60 credits and is a chance to apply your mathematical skills to a research topic of your choice.

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 y caf fy addysgu?

We teach using a mixture of lectures, seminars and tutorials. Methods of teaching will vary from module to module, as appropriate depending on the subject matter and the method of assessment.

You will apply the skills you develop through presentations, reading assignments, and the summer dissertation.

Sut y caf fy asesu?

Most modules have closed book written exams at the end of the Autumn or Spring semesters, with some also having an element of continuous assessment. This may include problem-solving exercises, written reports and oral presentations. 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. All students can review their exam scripts and discuss their performance with the corresponding module lecturer.

Your dissertation is assessed through a written report and an oral examination.

Sut y caf fy nghefnogi?

All of our students are allocated a personal tutor when they enrol on the course. A personal tutor is there to support you during your studies, and can advise you on academic and personal matters that may be affecting you. You should have regular meetings with your personal tutor to ensure that you are fully supported.

You will have access to the Senghennydd Library, which holds our collection of mathematical and computer science-related resources, as well as to the other Cardiff University Libraries.

We will provide you with a copy of the Student Handbook, which contains details of the School’s policies and procedures. We also support students through the University’s virtual learning environment, Learning Central, where you can ask questions in a forum or find course-related documents.

Cardiff University also offers a wide range of support services which are open to our students, such as the Graduate Centre, counselling and wellbeing, financial and careers advisors, the international office and the Student Union.


We offer written and oral feedback, depending on the coursework or assessment you have undertaken. You will usually receive your feedback from the module leader. If you have questions regarding your feedback, module leaders are happy to provide advice and guidance on your progress. We aim to provide you with feedback within twenty days following submission of an assessment.

Pa sgiliau y byddaf yn eu hymarfer a’u datblygu?

The Learning Outcomes for this Programme can be found below:

Knowledge & Understanding:

On successful completion of the Programme you will be able to demonstrate:

  • an in-depth understanding of a range of topics in pure mathematics (algebra, analysis and number theory) and/or the theoretical underpinning of methods in applied mathematics
  • an understanding of the concept of mathematical proof

Intellectual Skills:

On successful completion of the Programme you will be able to demonstrate:

  • the ability to formulate and solve mathematical problems
  • communication skills and the ability to communicate mathematical knowledge and understanding
  • plan and conduct a piece of novel research
  • independent critical thinking

Professional Practical Skills:

On successful completion of the Programme you will be able to demonstrate:

  • assimilate and communicate detailed mathematical arguments
  • use and critical evaluation of mathematical literature

Transferable/Key Skills:

On successful completion of the Programme you will be able to demonstrate:

  • logical reasoning
  • independent thinking
  • critical thinking
  • the ability to apply mathematical skills to solve problems
  • use of information technology and library resources
  • time and workload management
  • the ability to conduct independent research
  • communication and presentation

Ffioedd dysgu ar gyfer dechrau astudio yn 2022

Myfyrwyr o'r DU

Nid yw ffioedd ar gyfer mynediad 2022/23 ar gael eto

Myfyrwyr o'r UE, AEE a'r Swistir

Rydym yn aros am gadarnhad o'r ffioedd dysgu ar gyfer blwyddyn academaidd 2022/23.

Myfyrwyr o weddill y byd (rhyngwladol)

Rydym yn aros am gadarnhad o'r ffioedd dysgu ar gyfer blwyddyn academaidd 2022/23.

Costau ychwanegol

There are no additional costs associated with the MSc Mathematics degree scheme unless students wish to purchase copies of textbooks for their personal use instead of using those available in the University library.

A fydd angen unrhyw gyfarpar penodol arnaf I astudio’r cwrs hwn?

What the student should provide:

Calculator that satisfies Cardiff University examination regulations. Students may wish to purchase textbooks but copies are available through the university libraries.

What the University will provide:

Laboratories, computer labs and appropriate software.

Costau byw

Rydym wedi ein lleoli yn un o ddinasoedd mwyaf fforddiadwy y DU. Rhagor o wybodaeth am gostau byw yng Nghaerdydd.

Gyrfaoedd graddedigion

Specialist numerical skills and logical and analytical thought are qualities in demand across a range of stimulating and rewarding careers. There is a high demand for mathematicians across a range of sectors such as the oil and nuclear industries, medicine and IT, as well as many forms of engineering and different government departments. Further study at Masters level can be useful for some maths-related careers such as operational research, medical statistics in pharmaceutical companies, meteorology, engineering design, finance, investment banking, actuarial science and IT-based roles. Government agencies such as the Office of National Statistics and the Meteorological Office also provide employment opportunities for Mathematics graduates.

If you prefer to continue on a more academic career pathway, you may choose to continue your studies with a PhD.


Ysgoloriaethau Rhagoriaeth Meistr

Dyfarniad o £3000 sy'n agored i holl fyfyrwyr y DU a'r UE sy'n bwriadu astudio un o'n cyrsiau Meistr ôl-raddedig.

Cyllid Graddau Meistr Ôl-raddedig

Os ydych yn ddarpar fyfyriwr gradd Meistr ac yn dechrau eich gradd meistr ym mis Medi 2020 neu’n hwyrach, gallech wneud cais ar gyfer benthyciad ôl-raddedig ar gyfer eich gradd ym Mhrifysgol Caerdydd.

Camau nesaf


Ymweliadau Diwrnod Agored

Cofrestrwch ar gyfer gwybodaeth am ein dyddiadau yn 2021.

Gwnewch ymholiad

Cysylltwch â ni am ragor o wybodaeth am y cwrs hwn.


Mwy o wybodaeth am ein prifysgol fyd-eang.

Rhagor o wybodaeth

Pynciau cysylltiedig: Mathemateg

Data HESA: Hawlfraint yr Asiantaeth Ystadegau Addysg Uwch Cyfyngedig 2020. Ni all yr Asiantaeth Ystadegau Addysg Uwch Cyfyngedig dderbyn cyfrifoldeb am unrhyw gasgliadau neu benderfyniadau sy'n deillio o drydydd partïon o'i data. Daw’r data o Arolwg Hynt Graddedigion Diweddaraf 2017/18 a gyhoeddwyd gan HESA ym mis Mehefin 2020.