Ewch i’r prif gynnwys

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

  • UCAS code: 252F
  • Next intake: September 2021
  • Duration: 5 years
  • Mode: Full time with year abroad

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

Entry Year

Why study this course

Combine the advanced study of mathematics, statistics and operational research with an adventure-packed third year studying at a university abroad.

Gain a deeper understanding of Operational Research and Statistics on the four-year MMORS degree. The course 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.

The MMORS course is the same as the three-year BSc in Mathematics, Operational Research and Statistics with an additional year of study where 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 project and time management skills that graduate employers are looking for. Plus, you will gain the necessary skills, methods and ways of thinking required to analyse and tackle complex organisational problems and become a confident statistical analyst.

On this course, you will study at a university abroad during your third year before returning to Cardiff. 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 can 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 different cultures and viewpoints, make new friends and share unforgettable experiences. 

Distinctive features

Year abroad - 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 - During your final year, you will have the opportunity to complete a substantial research project at an advanced level in an area of your choice.

Flexible degree schemes - In most cases, you're free to switch between degrees 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.

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


Where you'll study

Yr Ysgol Mathemateg

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

  • icon-chatGet in touch
  • Telephone+44 (0)29 2087 4811
  • MarkerFfordd Senghennydd, Caerdydd, CF24 4AG

Entry requirements

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

Extended Project Qualification: Applicants with grade A in the EPQ will typically receive an offer one grade lower than the standard A level offer. Please note that any subject specific requirements must still be met.

The Welsh Baccalaureate Advanced Skills Challenge Certificate will be accepted in lieu of one A-Level (at the grades listed above), excluding any specified subjects.

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.

Other UK qualifications may also be accepted, often in lieu of A-levels, but subject requirements must be met. If you are offering non-UK qualifications, our qualification equivalences guide should allow you to calculate what kind of offer you are likely to receive.

Please be aware that this is a general guide, and that some programmes may have more detailed or specific entry requirements which will be reflected in your offer.

Find out about our Schools' admissions criteria, offer guarantee scheme, changes to programmes and translating your documents.


Grade C or grade 4 in GCSE English Language.

IELTS (academic)

At least 6.5 overall with a minimum of 5.5 in each subskill.


At least 90 overall with minimum scores of 17 for writing, 17 for listening, 18 for reading and 20 for speaking.

PTE Academic

At least 62 overall with a minimum of 51 in all communicative skills.

Trinity ISE II/III

II: at least two Distinctions and two Merits.
III: at least a Pass in all components.

Other accepted qualifications

Please visit our English Language requirements page for more information on our other accepted language qualifications.

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.

Interview or selection process

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.

Tuition fees

UK and EU students (2021/22)

We are currently awaiting confirmation on tuition fees for the 2021/22 academic year. Fees for the previous year were £9,000.

Students from outside the EU (2021/22)

We are currently awaiting confirmation on tuition fees for the 2021/22 academic year.

Costs for sandwich years

During a sandwich year (e.g. year in industry, placement year or year abroad) a lower fee will apply. Full details can be found on our fees pages.

Additional costs

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.

Course specific equipment

What the student should provide:

A 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.


We have a range of residences to suit your needs and budget. Find out more on our accommodation pages.

Course structure

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.

The modules shown are an example of the typical curriculum and will be reviewed prior to the 2021/22 academic year. The final modules will be published by September 2021.

Year one

In Year One 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 foundation 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.

Much of Year One is common to all of our degree schemes so transfer to another Mathematics degree is normally possible at the end of year one.

Module titleModule codeCredits
Elementary Differential EquationsMA100110 credits
GeometryMA100410 credits
Foundations of Mathematics IMA100520 credits
Foundations of Mathematics IIMA100620 credits
Linear Algebra IMA100810 credits
Introduction to Probability TheoryMA150010 credits
Statistical InferenceMA150110 credits
Computing for MathematicsMA170110 credits
Fundamental skills for University and BeyondMA190010 credits

Year two

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, Statistics and Operational Research 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 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 Year Two 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.

Module titleModule codeCredits
Operational ResearchMA026120 credits
Complex AnalysisMA200310 credits
Series and TransformsMA200410 credits
Real AnalysisMA200610 credits
Linear Algebra IIMA200820 credits
Multivariable and Vector CalculusMA201020 credits
Foundations of Probability and StatisticsMA250020 credits
Module titleModule codeCredits
Modelling with Differential EquationsMA023210 credits
GroupsMA201310 credits
Programming and StatisticsMA250110 credits
Mathematical Investigations with PythonMA276010 credits
Finance II: Investment ManagementMA280010 credits
Problem SolvingMA290010 credits

Year three: Sandwich year

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.

Module titleModule codeCredits
Study AbroadMA9990120 credits

Year four

There are no core modules in Year Four. 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.

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.

Year five

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.

Module titleModule codeCredits
MMath ProjectMA490040 credits

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.

Learning and assessment

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.

How will I be supported?

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.

What skills will I practise and develop?

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

What are the learning outcomes of this course/programme?

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

Careers and placements

Career prospects

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.


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

Studying in Welsh

Up to 36% of this course is available through the medium of Welsh. Please contact the Admissions tutor for more information.

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