Ewch i’r prif gynnwys

Mathemateg gyda Blwyddyn Dramor (MMath)

Blwyddyn Mynediad


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

Mae'r rhaglen bum mlynedd hon yn cynnwys blwyddyn o antur yn astudio yn un o'n prifysgolion partner ledled y byd.

Cadwch le ar ddiwrnod agored

Trosolwg y cwrs

The MMath degree expands on the BSc to prepare you for high-level entry into relevant professions. It’s also a solid base for pursuing a research career.

You will learn the same content as the four-year BSc with a Year Abroad degree, plus an additional year where you will complete a major piece of project work, such as:

  • a survey of an existing area of mathematical theory not covered in taught modules
  • an introductory research project
  • the development of a piece of mathematical software

Not only will you explore a research topic of your choice, but you will also develop the crucial project and time management skills that graduate employers are looking for. You will also demonstrate that you are at the forefront of the discipline through extensive coverage of topics such as Mathematical Analysis, Mathematical Physics and Fluid Dynamics. 

On this course, you will study at a university abroad during your third year. Our School has agreements with institutions across the globe, and you will have support to apply for your overseas year.

Studying abroad as part of your university experience is a great way to broaden your academic knowledge, immerse yourself in another culture and gain skills that could be valued by employers. Not only will it enhance your CV by demonstrating key skills such as communication, flexibility and collaborative working, it can also provide you with valuable networking opportunities. Above all, it is the start of a new adventure. A chance to experience new cultures and viewpoints, make new friends and share unforgettable experiences.

Nodweddion nodedig

Year abroad - You will study at a university abroad where you can learn while you travel and experience the practices and culture of a different country.

Specialist knowledge - Alongside learning a broad range of advanced mathematical techniques, you will gain specialist knowledge and skills through extensive coverage of topics beyond the scope of the BSc degree.

Project-based year - You will complete a substantial mathematical project at an advanced level in a research area of your choice.

Flexible degree schemes – In most cases, you're free to switch between degree programmes at the end of year one if your interests change. You don’t need to choose a university abroad until the beginning of year two, so there’s plenty of time to explore your options and decide where you would like to go.

Student satisfaction - Belong to a small and friendly community voted top among all Russell Group Universities in the main category of Overall Satisfaction in the National Student Survey 2018.

Support facilities - You will have a personal tutor who is able to offer advice, in confidence, on both academic and non-academic matters, as well as access to weekly tutorials, supervised computer laboratories, and daily drop-in sessions for one-to-one support.

Achrediadau

Côd UCASG104
Derbyniad nesafMedi 2020
Hyd5 blwyddyn
Modd (astudio)Llawn amser gyda blwyddyn dramor
Lleoedd sydd ar gael fel arferThe School typically has approx 170 places available.
Nifer y ceisiadau a dderbynnir fel arferThe School typically receives approx 700 applications.

Gofynion mynediad

AAA-AAB including Grade A in Maths. Please note that General Studies is not accepted for entry.  

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.

DD in BTEC plus A in Maths at A-level. 

36 points or 666 in 3 Higher Level subjects, to include 6 in Higher level Maths or Higher Level Maths Analysis and Approaches. Higher Level Maths Applications and Interpretations will be considered on a case-by-case basis but is not accepted as standard for entry. 36 pwynt neu 666 mewn 3 phwnc Lefel Uwch, I gynnwys 6 mewn mathemateg lefel uwch neu 6 mewn dadansoddiadau dadansoddi. Bydd Ceisiadau a Dehongliadau Mathemateg Lefel Uwch yn cael eu hystyried fesul achos, ni fyddwn yn derbyn hyn fel safon mynediad.  

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

GCSE

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.

TOEFL iBT

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.

GCSE English Language Grade C or 4 or an accepted English Language equivalent

Ffioedd dysgu

Myfyrwyr y DU ac UE (2020/21)

Ffioedd DysguBlaendal
£9,000Dim

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
£21,950Dim

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

Llety

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 five-year full-time degree with year three spent studying abroad. The course includes a carefully chosen balance of core modules and optional modules. Most modules are worth 10 or 20 credits and you need to earn 120 credits a year. The modules you choose in years two and four will inform the choices available to you later.

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

Most of the first year modules are compulsory, but you can choose to study one other mathematics module or one from another subject.

Teitl modiwlCôd modiwlCredydau
Elementary Differential EquationsMA100110 credydau
GeometryMA100410 credydau
Foundations of Mathematics IMA100520 credydau
Foundations of Mathematics IIMA100620 credydau
Linear Algebra IMA100810 credydau
Introduction to Probability TheoryMA150010 credydau
Computing for MathematicsMA170110 credydau
Fundamental skills for University and BeyondMA190010 credydau
Teitl modiwlCôd modiwlCredydau
Teitl modiwlCôd modiwlCredydau
Classical MechanicsMA130110 credydau
Statistical InferenceMA150110 credydau
Finance I: Financial Markets and Corporate Financial ManagementMA180110 credydau

Blwyddyn dau

There is a greater choice of optional modules in year two, currently making up 40 credits of your total for the year.

Teitl modiwlCôd modiwlCredydau
Complex AnalysisMA200310 credydau
Series and TransformsMA200410 credydau
Real AnalysisMA200610 credydau
Linear Algebra IIMA200820 credydau
Multivariable and Vector CalculusMA201020 credydau
Teitl modiwlCôd modiwlCredydau
Teitl modiwlCôd modiwlCredydau
Modelling with Differential EquationsMA023210 credydau
Operational ResearchMA026120 credydau
Introduction to Number Theory IMA201110 credydau
GroupsMA201310 credydau
Vibrations and WavesMA230310 credydau
Foundations of Probability and StatisticsMA250020 credydau
Numerical AnalysisMA270110 credydau
Mathematical Investigations with PythonMA276010 credydau
Finance II: Investment ManagementMA280010 credydau
Problem SolvingMA290010 credydau

Blwyddyn tri: Blwyddyn Ryngosod

In year three you have the opportunity to spend a year at a university abroad to experience the practices and culture of a different country. We have partner institutions in a number of European countries, as well as in Australia, Canada, and the USA.

The placement is organised by the School and in some cases funding is available for travel and living costs.

If you wish to take part in the study abroad you need to achieve at least a 50% average from your first year of study and you must pass at least 100 credits from year two.

Teitl modiwlCôd modiwlCredydau
Study AbroadMA9990120 credydau

Blwyddyn pedwar

The modules available in year four are closely aligned to the research interests of the School. In year four you will take a selection of advanced modules, allowing you to focus on topics of particular interest. 

Teitl modiwlCôd modiwlCredydau
Fluid DynamicsMA033210 credydau
Time Series Analysis and ForecastingMA036710 credydau
Project (Half)MA039210 credydau
Complex Function TheoryMA300010 credydau
CombinatoricsMA300410 credydau
Introduction to Functional and Fourier AnalysisMA300520 credydau
Coding TheoryMA300710 credydau
Algebraic TopologyMA300810 credydau
Introduction to Number Theory 2MA301110 credydau
Ordinary Differential EquationsMA301210 credydau
Rings and FieldsMA301310 credydau
Theoretical and Computational Partial Differential EquationsMA330320 credydau
Methods of Applied MathematicsMA330420 credydau
Fluid DynamicsMA330520 credydau
Regression Analysis and Experimental DesignMA350220 credydau
Stochastic Processes for Finance and InsuranceMA350320 credydau
Algorithms and HeuristicsMA360210 credydau
OptimisationMA360320 credydau
Game TheoryMA360410 credydau
Stochastic OR ModelsMA360610 credydau
Mathematical Methods for Data MiningMA370010 credydau
Behavioural FinanceMA380010 credydau

Blwyddyn pump

In year five the course develops research training and enhanced mathematical skills, especially in mathematical analysis, mathematical physics and fluid dynamics. There is also a major piece of project work worth 40 credits, in which you will undertake novel research. This gives you the opportunity to develop presentation and communication skills, in addition to applying your mathematical skills to a research topic of your choice.

Teitl modiwlCôd modiwlCredydau
MMath ProjectMA490040 credydau
Teitl modiwlCôd modiwlCredydau
Theoretical Fluid DynamicsMA400320 credydau
Measure TheoryMA400720 credydau
Combinatorial and Analytic Number TheoryMA401120 credydau
Finite ElasticityMA401220 credydau
Mathematical Foundations of Quantum PhysicsMA401420 credydau
Advanced Topics in Analysis: Sobolev Spaces and Viscosity SolutionsMA401520 credydau
Statistics of Big DataMA451120 credydau
Convex OptimisationMA460020 credydau
Stochastic Search and OptimisationMA460120 credydau
Reading ModuleMA490120 credydau
Reading ModuleMA490220 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?

Teaching is carried out through lectures, small-group tutorials (fortnightly in year one) and examples classes. Increased independent learning is encouraged throughout the course.

In all years the classes are used to discuss theoretical concepts and essential mathematical techniques. You are encouraged to undertake additional reading outside of timetabled classes and reflect upon assessments and feedback.

In year five, more student participation is expected as some lectures take the form of seminars.

Blwyddyn 1

Gweithgareddau dysgu ac addysgu wedi'u trefnu

29%

Astudio annibynnol dan arweiniad

71%

Lleoliadau ments

0%

Blwyddyn 2

Gweithgareddau dysgu ac addysgu wedi'u trefnu

27%

Astudio annibynnol dan arweiniad

73%

Lleoliadau ments

0%

Blwyddyn 3

Gweithgareddau dysgu ac addysgu wedi'u trefnu

null%

Astudio annibynnol dan arweiniad

null%

Lleoliadau ments

null%

Blwyddyn 4

Gweithgareddau dysgu ac addysgu wedi'u trefnu

null%

Astudio annibynnol dan arweiniad

null%

Lleoliadau ments

null%

Blwyddyn 5

Gweithgareddau dysgu ac addysgu wedi'u trefnu

null%

Astudio annibynnol dan arweiniad

null%

Lleoliadau ments

null%

Sut y caf fy nghefnogi?

At the start of each year you will be given a guide to module aims, learning outcomes, methods of assessment, module syllabuses and reading lists. You will be allocated a personal tutor, a member of the academic staff who will provide pastoral support and academic advice during your course.

All lecturing staff can be contacted by email and have either an ‘open door’ policy for students with specific queries about course material, or a system to book meeting times. The School Office can answer most administrative queries immediately.

For the placement abroad in year three you will be assigned a personal tutor in the host institution, to give you pastoral support and guidance. The School’s study abroad coordinator will also maintain regular contact to review your personal and academic progress. 

You will have access through the Learning Central website to relevant multimedia material, presentations, lecture handouts, bibliographies, further links, electronic exercises and discussion circles. Opportunities for you to reflect on your abilities and performance are available through the Learning Central ‘Personal Development Planning’ module.

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

Further learning support is also available via the University wide Maths Support Service. This provides relaxed and informal daily drop-in sessions where students are encouraged to discuss any elements of their studies with a tutor on a one-to-one or small group basis.

Sut caf fy asesu?

Many modules have written examinations 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, computer programs 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.

Your major research project in year five is assessed through a written report and its oral examination.

The grade of your final degree is currently based on 10% from your year two studies, 10% from your placement abroad, 30% from year four and 50% from year five.  An average of at least 55% in years one and two is required to continue on this programme.

Your year abroad will be assessed on the results from the courses studied in the host institution and a presentation and oral exam at the start of the next term back in Cardiff.

You may also be asked to share your experiences with students considering the study-abroad option.

Feedback:

Written feedback and outline solutions on in-course assessment give you an opportunity to reflect on your progress. Further feedback is provided in examples classes and tutorials (in year one) to review problems in more detail and discuss potential solutions. You should discuss any queries related to specific modules with individual lecturers. There are a number of further feedback mechanisms in place to support your study; please see “How will I be supported?” below.

Dulliau asesu (2017/18 data)

Blwyddyn 1

Arholiadau ysgrifenedig

90%

Arholiadau ymarferol

5%

Gwaith cwrs

5%

Blwyddyn 2

Arholiadau ysgrifenedig

97%

Arholiadau ymarferol

0%

Gwaith cwrs

3%

Blwyddyn 3

Arholiadau ysgrifenedig

null%

Arholiadau ymarferol

null%

Gwaith cwrs

null%

Blwyddyn 4

Arholiadau ysgrifenedig

null%

Arholiadau ymarferol

null%

Gwaith cwrs

null%

Blwyddyn 5

Arholiadau ysgrifenedig

null%

Arholiadau ymarferol

null%

Gwaith cwrs

null%

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

You will acquire and develop a range of valuable skills, both discipline specific and important employability skills. You will:

  • develop your communication skills and ability to communicate mathematics in written and oral form
  • demonstrate the effective self-management and organisational skills needed to undertake a substantial mathematical project
  • enhance your computing, IT, information retrieval and handling skills
  • develop your ability to apply logical and analytic thinking to problems in other disciplines
  • demonstrate group working, time management and presentational skills
  • enhance your understanding of the academic culture of higher education in a foreign country
  • show a commitment to lifelong learning through engaging in a process of personal development planning
A Mathematical Formula.

Gyrfaoedd a lleoliadau gwaith

Rhagolygon gyrfa

Specialist numerical skills and logical and analytical thought are qualities in demand across a range of stimulating and rewarding careers. Employers of graduates from the School of Mathematics include the financial services sector and organisations such as the Office of National Statistics and the Meteorological Office.

Graduates of the MMath course often progress to PhD and other advanced studies. 

The School of Mathematics also has a Careers Management Skills Programme, company presentations held in the School, presentations by students returning from industry and a range of sponsored prizes awarded for academic achievement.

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 graduation.

Lleoliadau

The option of spending year three studying abroad extends the MMath degree to five years. We have agreements with a number of institutions across Europe, the United States, Canada and Australia. In some cases funding is available for travel and living costs.

If you decide not to do a placement abroad you can transfer to the four year MMath programme or to one of the BSc programmes.  BSc programmes with a year of Professional Placement have a duration of four years and may be dependent on your academic performance.

Astudio yn Gymraeg

Mae hyd at 36% o'r cwrs hwn ar gael drwy gyfrwng y Gymraeg. Cysylltwch â'r Tiwtor Derbyn am wybodaeth bellach.

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