Ewch i’r prif gynnwys

Mathemateg gyda Blwyddyn o Leoliad Gwaith Proffesiynol (BSc)

Blwyddyn Mynediad


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

Mae’r rhaglen bedair blynedd hon yn cynnwys trydedd flwyddyn sy’n gwella cyflogadwyedd yn gweithio am gyflog yn rôl mathemategydd neu ystadegydd mewn sefydliad o’ch dewis.

Cadwch le ar ddiwrnod agored

Trosolwg y cwrs

Gain valuable hands-on experience and develop your professional skills whilst delving deeper into the fascinating world of mathematics.

A mathematics qualification is well-respected by employers. The numerical, logical thinking and problem-solving skills that you’ll develop will enable you to tackle a wide variety of roles.

This four-year version of the degree includes a year of paid work in a mathematician and/or statistician role during year three. You will return to Cardiff following the successful completion of your work placement at the start of the autumn semester ready for your final year of studies.

In a competitive graduate job market, a placement can help you gain extra skills and experience to make you stand out from the crowd. It could help you secure a permanent role after you graduate, as well as providing real-world context to support your studies. If you're not sure what career path to follow, it's a great opportunity to explore your options and might even help you make those all-important decisions about your future.

Our strong links with industry give you a wide range of placement providers to choose from. Our students have completed exciting placements at organisations including:

  • HM Revenue & Customs
  • The Ministry of Defence
  • NHS Wales
  • Nationwide
  • BAE Systems
  • IBM
  • Disney

Nodweddion nodedig

Lleoliad proffesiynol - Mae’r radd benodol hon yn caniatáu i chi dreulio blwyddyn yn gweithio mewn diwydiant lle gallwch chi sicrhau’r sgiliau meddal - gwaith tîm, rheoli amser, arweinyddiaeth - y mae cyflogwyr graddedigion yn chwilio amdanynt;

Cyfle i sicrhau dyfarniad proffesiynol - Os byddwch chi’n cwblhau’r cyfnod hyfforddiant proffesiynol gallwch gael eich ystyried ar gyfer dyfarniad Trwyddedu uwch City and Guilds (LCGI).

Boddhad Myfyrwyr- Cawson ni’r nifer uchaf o bleidleisiau o blith holl Brifysgolion Grŵp Russell ym mhrif gategori Boddhad Cyffredinol yn Arolwg Cenedlaethol y Myfyrwyr 2018;

Cynlluniau gradd hyblyg – Gallwch chi arbenigo mewn maes o’ch dewis, o fathemateg pur a chymhwysol a mathemateg ariannol, i ystadegau ac ymchwil weithrediadol.  Yn y rhan fwyaf o achosion, rydych chi’n rhydd i symud rhwng rhaglenni gradd ar ddiwedd blwyddyn un os bydd eich diddordebau’n newid;

Cymorth i fyfyrwyr-  Yn ogystal â chael eich tiwtor personol eich hun ar ddechrau’r flwyddyn gyntaf, byddwch hefyd yn cael mynediad i sesiynau tiwtorial wythnosol, labordai cyfrifiadur dan oruchwyliaeth a sesiynau galw heibio beunyddiol ar gyfer cefnogaeth un-i-un.

Côd UCASG105
Derbyniad nesafMedi 2020
Hyd4 blwyddyn
Modd (astudio)Llawn amser gyda blwyddyn ryngosod

Gofynion mynediad

AAB-ABB 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 any BTEC plus A in Maths at A-level. 

36-34 points or 666-665 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. 36-34 pwynt neu 666-665 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-sgôr.

TOEFL iBT

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

PTE Academic

62 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

Dewis

There will be no interviews. Selection is based entirely on A level (or equivalent) performance. Contextual applicants will be guaranteed an offer and will be subject to additional consideration. All applicants will be invited to attend an Open day when they will visit the School of Mathematics. Offers will be made to all applicants who have the potential to satisfy the offer.

Ffioedd dysgu

Myfyrwyr y DU ac UE (2020/21)

Ewch i'n tudalen cyfanswm ffioedd am y wybodaeth ddiweddaraf.

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

Ewch i'n tudalen cyfanswm ffioedd am y wybodaeth ddiweddaraf.

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

In each year of the Programme, you will take Modules to the value of 120 credits. The first two years are spent studying Mathematics. The third year is spent on industrial placement and you return to complete your degree in year four

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

Byddwch yn cymryd 120 credyd mewn Mathemateg. Mae'r rhan fwyaf o fodiwlau'n orfodol ond mae elfen o ddewis sy'n eich galluogi i ddewis rhwng modiwlau mewn Ystadegau, Mecaneg a Chyllid.

Mae'r modiwlau mewn Mathemateg yn cwmpasu meysydd sylfaenol Calculus, Algebra, Dadansoddi, Cyfrifiadura a Thebygolrwydd.

Bydd gofyn i chi basio pob modiwl blwyddyn gyntaf a chyflawni o leiaf 50% ar gyfartaledd i symud ymlaen i'r cam ymgeisio.

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

Mae modiwlau craidd ym mlwyddyn dau yn parhau i adeiladu gwybodaeth sylfaenol ym meysydd Calcwlws, Algebra a Dadansoddi.

Mae mwy o ddewis o fodiwlau dewisol, gan gynnwys mathemateg bur a chymhwysol, ystadegau a chyllid. Yn ogystal, cyflwynir pwnc ymchwil weithredol. Bydd y modiwlau a ddewiswch yn llywio'r dewisiadau sydd ar gael i chi ym mlwyddyn pedwar.

Mae'n ofynnol i chi basio isafswm o 100 credyd i symud ymlaen i flwyddyn y lleoliad.

Y myfyriwr sy'n gyfrifol am sicrhau lleoliad ac ni ellir gwarantu lleoliad. Os na allwch gael lleoliad, cewch eich trosglwyddo i'r radd BSc Mathemateg tair blynedd. Mae croeso i chi drosglwyddo i'r cynllun gradd BSc Mathemateg os penderfynwch beidio â chymryd y flwyddyn Lleoliad.

Mae llawer o Flwyddyn Un yn gyffredin i bob un o'n cynlluniau gradd felly mae trosglwyddo i radd Mathemateg arall fel arfer yn bosibl.

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

Mae blwyddyn tri yn cael ei threulio mewn cyflogaeth gyflogedig, yn gweithio fel mathemategydd a / neu ystadegydd mewn sefydliad.

Teitl modiwlCôd modiwlCredydau
Industrial TrainingMA9999120 credydau

Blwyddyn pedwar

Mae'r modiwlau sydd ar gael yn y flwyddyn olaf yn cyd-fynd yn agos â diddordebau ymchwil yr Ysgol. Nid oes unrhyw fodiwlau gorfodol ac mae eich opsiynau yn eang. Yn ogystal â modiwlau a addysgir gallwch ddewis prosiect 10 credyd neu 20 credyd, gan roi'r cyfle i chi ddatblygu sgiliau cyfathrebu a chyflwyno ac i ddysgu sut i gymhwyso eich sgiliau mathemategol i ymchwiliad o'ch dewis.

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 and examples classes. Mathematics is a hierarchical discipline so the structure of the course is systematic, building on fundamental understanding. 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.

The first two years are focussed on providing a foundational understanding.  The final year covers a range of contemporary subject material, reflecting research interests in the School. Throughout the delivery of the programme, wherever possible, recent research results are used to illustrate and illuminate the subject.

In year one there are regular small-group tutorial sessions in all mathematics modules. Exercises are an integral part of all lecture-based modules, and these allow you to apply your knowledge and improve your problem-solving skills. Extra exercise or examples classes are currently held in all mathematics modules. In these a lecturer will discuss additional problems with you, give general oral feedback and model solutions for further reflection.

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.

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.

While on placement, you will be visited a minimum of two times by Academic staff and Professional Services staff. There are named points of contact should you have any questions or problems.

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.

The Professional Placement year is assessed via a combination of a report, a poster and an oral presentation. You are required to reflect upon and provide evidence for your progress in the areas of Professional Standards, Communication and Information Management, Leadership, Professional Development, Working with Others, and Managing Customer Relations. You submit monthly formative journal entries for which feedback will be provided, thereby monitoring your progress.

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.

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

The Learning Outcomes for this Programme describe what you will be able to do as a result of your study at Cardiff University. They will help you to understand what is expected of you. 

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 analytical approach to problem solving
  • An understanding of the ideas of proof, calculus, algebra, analysis and applied mathematics
  • An enhanced understanding of abstract mathematical concepts, logical arguments and deductive reasoning
  • Mathematical reasoning and manipulation

The Placement additionally:

  • Provides experience of applying mathematical concepts in an industrial environment
  • Makes you aware of professional and ethical responsibilities
  • Commitment to professional standards

Intellectual Skills:

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

  • The ability to formulate and solve mathematical models
  • The skills of using analytical and logical thinking to draw conclusions based on quantitative information.
  • Communication skills and the ability to communicate mathematical knowledge and understanding

The Placement year additionally allows you to demonstrate:

  • Self-reflection and motivation
  • Leadership
  • Self-direction in solving unseen problems

Professional Practical Skills:

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

  • Use of a number of modern software packages
  • Proficiency in performing experiments in laboratory classes, demonstrating analytical and investigative skills
  • The ability to assimilate and communicate detailed mathematical arguments
  • Report writing skills, the ability to write coherently and clearly and to give presentations.

The Placement Year allows you to demonstrate:

  • Use of software in an industrial setting

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
  • Working with others
  • Self management and organisational skills.

The Placement Year allows you to demonstrate:

  • Work experience in a Maths related job
Mathematics lecture room with students
Mathematics lecture room with students

Gyrfaoedd a lleoliadau gwaith

Rhagolygon gyrfa

Gallwch ddefnyddio’ch BSc mewn Mathemateg yn llwybr i’r gweithlu, lle gallech gwrdd â’n cynfyfyrwyr yn gweithio mewn swyddi traddodiadol fel addysgu, gwaith actiwari, a chyfrifeg, yn ogystal â TG, ymchwil fferyllol, peirianneg a mwy.  Fel arall, efallai byddwch chi’n dewis ehangu eich opsiynau gyrfa i gynnwys ystod o feysydd cysylltiedig trwy gwblhau astudiaethau ôl-raddedig yn y gwyddorau, cyfrifiadureg neu beirianneg.

Yn 2017-18, dywedodd 89% o raddedigion yr Ysgol a oedd ar gael i weithio eu bod mewn cyflogaeth a/neu astudiaethau pellach ymhen chwe mis ar ôl graddio. Mae rhai o’n cynfyfyrwyr bellach yn gweithio yn y Swyddfa Ystadegau Gwladol (ONS) a’r Swyddfa Feteorolegol.

Cefnogaeth Gyrfaoedd Mathemateg

Yn semestr gwanwyn eich blwyddyn gyntaf, bydd amrywiaeth o ddosbarthiadau meistr ar gael i chi i helpu i gefnogi eich rhagolygon gyrfa i’r dyfodol.  Mae’r dosbarthiadau’n ymdrin â phrofiad gwaith, CV a llythyrau esboniadol, ffurflenni cais, technegau cyfweliad, a chyflwyniad i LinkedIn.

Mae gennym ni fwrdd swyddi myfyrwyr sy’n cael ei ddiweddaru’n rheolaidd, gydag amrywiaeth o gyfleoedd i raddedigion, gwirfoddoli, interniaethau a lleoliadau. Ar ben hynny, rydym ni’n trefnu rhaglen lawn o gyflwyniadau gan fyfyrwyr a chyflogwyr bob blwyddyn gyda chyflogwyr fel Grŵp Bancio Lloyds, HSBC, PwC, Sefydliad a Chyfadran yr Actiwarïaid, Sainsburys, Network Rail, GSK, y Swyddfa Ystadegau Gwladol (ONS), Llywodraeth Cymru, y Weinyddiaeth Amddiffyn, Dŵr Cymru, a’r Swyddfa Feteorolegol.

Swyddi

  • Finance manager
  • Lecturer
  • Risk analyst
  • Statistician

Lleoliadau

A one year work placement is available on this programme,  to be taken after you have completed year two.

You will have support to apply for placements that appeal to you from a wide range of industrial partners. Placements are available in Cardiff, across the UK and also internationally and most have competitive salaries.

 Recent placement providers have included: CGI, Department for Business, Energy and Industrial Strategy, Goldman Sachs, Ministry of Defence, National Air Traffic Service and Walt Disney.

 When you are on placement, your work will be directly supervised by your placement provider. You will be working on real problems and using mathematics to produce results. You will also have close contact with our placement coordinators so they can discuss your progress and ensure you get the most out of the year. This will include visits as well as regular email contact.

 We will support you in preparing for your work placement through a range of skills development programmes. 

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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