Ewch i’r prif gynnwys

Mathemateg, Ymchwil Weithredol ac Ystadegaeth gyda Blwyddyn o Astudio Dramor (MMORS)

Blwyddyn Mynediad


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

Mae hwn yn gyfuniad o Ystadegau ac Ymchwil Weithrediadol yn ogystal ag astudiaeth gyffredinol o Fathemateg mewn cwrs sydd wedi’i deilwra’n ofalus i anghenion y rhai sydd am gadw eu dewisiadau’n agored ac sy’n chwilio am gyfleoedd gyrfa ardderchog.

Cadwch le ar ddiwrnod agored

Trosolwg y cwrs

The MMORS with a Year Abroad is a great choice if you would like to gain a deeper understanding of mathematics, operational research and statistics while you explore new cultures and practises.

This version of the degree allows you to spend your third year studying at a university abroad before returning to Cardiff for two more years. The School of Mathematics has agreements with institutions across Europe, the United States, Canada and Australia, and you will have support to apply for your overseas year.

This five-year course is the same as the four-year BSc degree with a Year Abroad with an additional year of study. In the final year, you will complete a major piece of project work. This could include:

  • 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 professional skills that graduate employers are looking for. 

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 there 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 UCAS252F
Derbyniad nesafMedi 2019
Hyd5 blwyddyn
Modd (astudio)Llawn amser gyda blwyddyn dramor

Gofynion mynediad

AAA - AAB including A in Maths.  

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 including 6 in HL Maths or 666 in 3 HL's including Maths

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

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.

You will require GCSE English Language at grade C or grade 4. 

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 (2019/20)

Ffioedd DysguBlaendal
£9,000Dim

Nodiadau:

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 (2019/20)

Ffioedd DysguBlaendal
£20,950Dim

Nodiadau:

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

For the Study Year Abroad, students are entitled to their normal Student Loan and the tuition fee is only 15% of the normal fee. Students need to consider additional costs such as airfares, health insurance etc. but this would be made clear to students before they finalise their overseas university.  The Global Opportunities Centre offers support towards airfares of between £500 and £700. For exchange partners within the EU, the Erasmus scheme offers financial support. 

Students should note that living costs in other countries may be higher than the cost of living in the UK. Health insurance will also be required. The Global Opportunities Centre offer advice on the cost of studying abroad.

Cyfarpar ar gyfer cwrs penodol

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.

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 course. In each year of the programme, you will take modules to the value of 120 credits. In the first year there are compulsory modules in Pure Mathematics, Statistics and Computing in addition to a range of optional modules.

The core modules in Year 2 continue to build your foundational understanding of Mathematics and Statistics, and the subject of Operational Research is introduced.

If you wish to study abroad in a non-English speaking country, it is expected that you will study some appropriate language modules in both of Years 1 and 2.

Year 3 is spent at a university abroad. At least 50% of your time is spent studying Mathematics modules.

Year 4 includes a large number of optional modules allowing students to focus on the areas of Pure Mathematics, Operational Research and Statistics that they particularly enjoy.

Year 5 includes a core 40 credit research dissertation in a topic of your choice, supervised by a leading expert. Research training is enhanced and there are a number of advanced optional modules.

The classification of your degree is based on the grades you achieve in the modules that you take in years two, four and five and the Year of Study Abroad.

Mae'r modiwlau a ddangosir yn esiampl o'r cwricwlwm arferol. Byddant yn cael eu hadolygu cyn blwyddyn academaidd 2019/20. Bydd y modiwlau terfynol yn cael eu cyhoeddi erbyn mis Medi 2019

Blwyddyn un

You will take 120 credits in Mathematics. Most modules are compulsory but there is an element of choice allowing you to select between modules in Mechanics and Finance. The modules in Mathematics cover the foundational areas of Calculus, Algebra, Analysis, Computing and Statistics.

You are allowed to replace some Mathematics modules with language modules if you plan to study in a non-English speaking country.

Students are required to achieve a 50% average to continue their studies onto Year Two of this scheme. If they do not achieve a 50% average, they will be transferred to the four year MMORS Mathematics, Operational Research and Statistics degree scheme i.e. without the Year of Study Abroad.

Note that the first year is common across all the degree schemes in the School of Mathematics so students can transfer to other degrees in Mathematics at the end of Year One.

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

Blwyddyn dau

In year two you will take 120 credits in Mathematics. 80 credits are core and the remaining 40 credits are chosen from a number of optional modules in Pure and Applied Mathematics, as well as additional Statistics and Operational Modules.

The results of Year Two make up 10% of your final degree classification.

You can continue to take language modules if you intend to study in a non-English speaking country.

You are required to achieve at least a 55% average and pass at least 100 credits to continue your studies on the MMORS degree scheme.  Students who fail to do so will be transferred to the BSc Mathematics, Operational Research and Statistics with a Year of Study Abroad degree scheme. You will have the opportunity to transfer between the Year of Study Abroad scheme and the standard MMORS degree scheme until the January of Year Two.

In the November of Year Two, representatives from the Global Opportunities Centre will visit the School of Mathematics and will present to students details of the various universities around the world that our students can attend. There will also be presentations by students who have already completed their Year of Study Abroad. Subsequently students choose their top three choices of university that they wish to attend; allocations are made according to their degree average and so as to maximise the number of students attending a university of their choice.

At the end of your second year you have the opportunity to transfer to the three year BSc Mathematics, Operational Research and Statistics degree scheme. You may also transfer to BSc Mathematics if you have selected the appropriate optional Year Two modules.

Teitl modiwlCôd modiwlCredydau
Operational ResearchMA026120 credydau
Complex AnalysisMA200310 credydau
Series and TransformsMA200410 credydau
Real AnalysisMA200610 credydau
Linear Algebra IIMA200820 credydau
Multivariable and Vector CalculusMA201020 credydau
Foundations of Probability and StatisticsMA250020 credydau
Teitl modiwlCôd modiwlCredydau
Modelling with Differential EquationsMA023210 credydau
Introduction to Number Theory IMA201110 credydau
Programming and StatisticsMA250110 credydau
Finance II: Investment ManagementMA280010 credydau
Problem SolvingMA290010 credydau

Blwyddyn tri: Blwyddyn Ryngosod

Year Three is spent at a university abroad. Typical destinations are Canada, Australia and the United States of America as well as many European countries. You are still entitled to apply for student loans and the tuition fee is only 15% of the usual tuition fee. You will study a variety of modules of which at least 50% should be related to Mathematics. Your marks achieved abroad will be converted to UK marks using standard Cardiff University conversion tables. These marks will contribute 80% of the mark for your Year of Study Abroad. The remaining 20% will be based on a presentation you will give upon return to Cardiff, and a viva examination. This will cover the courses studied while abroad, and a summary of your experiences, both cultural and academic.

The results of Year Three make up 10% of your final degree classification.

Teitl modiwlCôd modiwlCredydau
Study AbroadMA9990120 credydau

Blwyddyn pedwar

The modules in Year Four are closely aligned to the research interests of the School. 120 credits of Optional Modules are chosen. There are a broad range of Optional modules, enabling you to focus on areas of particular interest. At least 50% of your Year Four modules should be in the areas of Operational Research or Statistics. There are no core modules in Year Four.

The results of Year Four make up 30% of your final degree classification.

Students at the end of Year Four can choose to graduate with a BSc degree if they so wish.

Teitl modiwlCôd modiwlCredydau
Regression Analysis and Experimental DesignMA350220 credydau
OptimisationMA360320 credydau

Blwyddyn pump

In Year Five, the course develops research training and enhanced mathematical skills. There is also a major piece of project work, in which you will apply the knowledge and skills learnt in the first four years of the degree to tackle some practical or theoretical problems. 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.

Training for the dissertation will be provided at the beginning of Year Five with a number of additional lectures covering research and communication skills.

There are a range of optional modules available in Pure Mathematics, Statistics and Operational Research.

The results of Year Five make up 50% of your final degree classification.

Teitl modiwlCôd modiwlCredydau
MMath ProjectMA490040 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?

Core knowledge is taught through a mixture of lectures, exercise classes, small-group tutorials and guided study. Mathematics is a hierarchical discipline so the structure of the course is systematic, building on fundamental understanding

The first two years are focussed on providing a foundational understanding. Years Four and Five cover 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, 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 provide model solutions for further reflection.

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

Sut y caf fy nghefnogi?

At the start of each year a guide to module aims, learning outcomes, methods of assessment, module syllabuses, and reading lists will be made available to you. You will also be allocated a personal tutor in the School of Mathematics. This will be a member of academic staff who can give pastoral support and academic advice as well as helping you with module selection and career planning. Regular meetings with your Personal Tutor will be scheduled to give you the opportunity to discuss your individual progress and develop generic skills such as team work and presentation skills.

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 Director of Learning and Teaching of the School of Mathematics can advise you on academic issues, and each year of study has a year co-ordinator who can offer advice on administrative issues. The School also has an Education and Students Manager who can assist with administrative queries. The Undergraduate Office in Mathematics, is a further source of information.

The School of Mathematics has a Year of Study Abroad Coordinator who can answer any questions about studying overseas. Additionally there is a member of staff responsible for student exchanges under the Erasmus scheme. They will assist in preparing applications to study abroad, provide pastoral support while abroad and answer any queries you may have.

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

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. 

Before commencing your dissertation, additional lectures will provide preparation covering research and communication skills. Core computing modules in Years One and Two will provide the foundation for any computing work required for the dissertation. The additional lectures will cover practical issues such as working with a supervisor, format and structure of a dissertation, referencing and how to produce academic writing. They will also cover the skills required to independently perform mathematical research.

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. The School of Mathematics has a designated Disability and Diversity Officer and ensures that reasonable adjustments are made for students with disabilities.

An extensive programme of careers lectures and workshops is delivered within the School of Mathematics and an in-house Careers Consultant is available.

Sut caf fy asesu?

Most modules have closed book 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. All students can review their examination scripts and discuss their performance with the corresponding module lecturer.

Your major research project in Year Five is assessed through a written report (85% of the mark) and an oral examination (15% of the mark).

The pass mark for each module is 40%. Students can progress to resit as long as they have failed no more than 60 credits. They can progress to the following year as long as they have failed no more than 20 credits.

The grade of your final degree is currently based on 10% from your Year Two studies, 10% from your Year of Study Abroad, 30% from Year Four and 50% from Year Five. The marks achieved while abroad are converted using Cardiff University conversion tables. Students are required to give a 20 minute presentation upon return to Cardiff University near the beginning of their final year. This presentation will include details of their time abroad, both academically and socially. These presentations are assessed and will contribute to 20% of their Year of Study Abroad grade.

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.

The majority of coursework in the School of Mathematics is formative, that is the mark does not form part of the students overall mark for the module. This is to encourage students to learn the intrincis value of doing the work in itself and for the educational benefit rather than just to gain a given mark. In this way it is expected that students will carefully consider their feedback and use it to ensure their understanding of the material.

In Year One, students are required to regularly submit work to help to ensure that their understanding of the course material is progressing. Detailed formative feedback is provided to help students identify their strengths and weaknesses and areas that need further work, and for staff to identify means of supporting students. This continues in later years of the course, though the frequency of submitted work will vary from module to module.

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

Studying this course will enable you to acquire and develop a range of valuable skills, both discipline specific and more generic ‘employability skills’. You will:

  • Demonstrate the effective self-management and organisational skills needed to undertake a substantial project in an area of mathematics of your choice.
  • Enhance yourIT, information retrieval and handling skills
  • Develop your ability to apply logical and analytic thinking to problems in other disciplines
  • Demonstrate commitment to lifelong learning through engaging in a process of personal development planning
  • Develop the skills of objectivity, creativity and independent thinking
  • Develop your knowledge of core Mathematics concepts such as calculus and analysis, proof, algebra and modelling.
  • Increase your understanding of the principles and techniques of proof
  • Develop skills that will enable you to sustain a critical argument and to communicate ideas and theories in writing and through oral presentation
  • Learn how to solve well-defined, open-ended problems and identify key issues
  • Conduct independent research using source materials such as textbooks, scientific journals and electronic databases
  • Use precise calculations in appropriate situations
  • Develop your ability to undertake independent learning and effectively manage your time

Beth yw deilliannau dysgu’r cwrs/rhaglen?

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 and academic staff will focus on precisely what they want you to achieve within each Module. 

Knowledge & Understanding:

Students completing the Programme will demonstrate:

  • An ability to analyse and interpret data and to apply modern statistical methods
  • An ability to use the latest operational research techniques to solve real life problems
  • An understanding of the underlying principles and mathematical theories underpinning modern statistics and operational research
  • An understanding of the ideas of proof, calculus, algebra, analysis and applied mathematics
  • Enhanced understanding of the academic culture of higher education in a foreign country

Intellectual Skills:

Students completing the Programme will 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
  • Plan and conduct a piece of novel research

Professional Practical Skills:

Students completing the Programme will be able to:

  • Use a number of modern software packages
  • Assimilate and communicate detailed mathematical arguments

Transferable/Key Skills:

Students completing the Programme will 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

Gyrfaoedd

Rhagolygon gyrfa

You can use your MMORS in Mathematics Operational Research and Statistics with a Year Abroad as a pathway to the workforce where you may meet our alumni working in a variety of fields such as data science, operational research, internet technology, medicine, banking, logistics, risk management, and marketing. Or, you might choose to widen your career options to include a range of related fields by completing a PhD in mathematics, the sciences, computing or engineering.

In 2017/18, 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. Some of our previous students had gone on to work for companies including the Office of National Statistics and the Meteorological Office.

Maths Careers Support

In the Spring semester of your first year, there are a range of masterclasses available to you to help support your future career prospects. The classes cover work experience, CV and covering letters, application forms, interview techniques, and an introduction to LinkedIn.

We have a regularly-updated student jobs board featuring a range of volunteering, internship, placement, and graduate opportunities. Plus, we organise a full programme of student and employer presentations every year with employers, such as Lloyds Banking Group, HSBC, PwC, Institute and Faculty of Actuaries, Sainsburys, Network Rail, GSK, Office of National Statistics, Welsh Government, the MOD, Welsh Water, and the Met Office.

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

Lleoliadau

This degree programme includes a year of study spent abroad. Students can transfer to the standard Four Year MMORS degree at any time.

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.

Nid oes data Unistats ar gael ar gyfer y cwrs hwn eto.

Nid oes data Unistats ar gael ar gyfer y cwrs hwn eto.

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