Mathematics, Operational Research and Statistics (MMORS)

Entry year

Combining the fields of Statistics and Operational Research with a study of mathematics in general, in a course carefully tailored to the needs of those looking for wide options and excellent career opportunities.

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Course overview

To many people, statistics means numbers – collecting them and organising them. The field of modern statistics involves much more. It is the source of techniques developed to help managers and researchers to draw reliable conclusions from observations that contain variation.

Operational research techniques, sometimes called management science, provide quantitative decision-making methods complementary to statistical analysis, such as the control of queues, stock, and quality control.

Our four-year MMORS Mathematics, Operational Research and Statistics course  offers you the opportunity to delve more deeply into pure and applied mathematics, statistics and operational research than is possible on a BSc course and offers a strong grounding in general mathematical theory and techniques.

Designed for those with an enquiring mind, this degree provides a range of mathematics modules designed to challenge and stimulate your academic curiosity. You will study pure mathematics, statistics and operational research modules linked with optional modules from applied mathematics and computing. In later years, the focus is on advanced applications of modern statistics and operational research theory. Throughout your studies we support you to become an independent learner, able to effectively tackle unseen problems.

This programme is ideal for those who want to gain a deeper understanding of mathematics and develop skills in demand by a range of prospective employers. It will provide you with the skills and knowledge needed to work in research or a range of industries, business and government.

Distinctive features

The programme has several distinctive features:

  • There is a strong emphasis on research with students undertaking a substantial project in an area of Operational Research or Statistics of their choice.
  • Research active staff are involved in course design and delivery meaning that along with foundational mathematics content, there are also modules that apply the latest statistical ideas and concepts
  • The course will provide you with the integrated knowledge and skills to deal with decision making, data driven and big data problems in a range of sectors including business, healthcare and finance
  • The course provides excellent preparation for a PhD or employment.
  • This programme offers a high degree of flexibility. You have the freedom to decide how your academic experience develops. You can choose to specialise in a particular area or to maintain a wide breadth of learning and explore the interdisciplinary research that underpins much of the School’s success.


UCAS code252D
Next intakeSeptember 2018
Duration4 years
ModeFull time

Entry requirements

AAA/A*AB including A in Mathematics

Typical A-level offer: AAA/A*AB including A in Mathematics

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.

36 points including a minimum grade 6 in HL Mathematics

Alternative qualifications may be accepted. For further information on entry requirements, see the School of Mathematics admissions criteria pages.

If you are an overseas applicant and your first language is not English, please visit our English Language requirements page for more information on our accepted qualifications.

Typical European Bacc offer: 80% with 80% in Mathematics Typical BTEC Extended Diploma offer: BTEC Extended Diplomas are accepted; however an A level in Mathematics is still required. A Distinction in BTEC Extended Diploma would be accepted as equivalent to an A Grade at A level.  Typical Access to HE Diploma offer: None Any specific GCSE requirements (other than standard Grade C in English): None Typical offers for other qualifications (inc Scottish Highers, Irish Leaving Certificate, Cambridge Pre-U, etc.): The Welsh Baccalaureate is acceptable in lieu of one A level grade. The asking grades for Scottish Advanced Highers is AAA.The asking grades for the Irish Leaving Certificate is AAABB.


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 (2018/19)

Tuition feeDeposit

The University reserves the right to increase tuition fees in the second and subsequent years of a course as permitted by law or Welsh Government policy. Where applicable we will notify you of any change in tuition fee by the end of June in the academic year before the one in which the fee will increase.

Visit our tuition fee pages for the latest information.

Financial support may be available to individuals who meet certain criteria. For more information visit our funding section. Please note that these sources of financial support are limited and therefore not everyone who meets the criteria are guaranteed to receive the support.

Students from outside the EU (2018/19)

Tuition feeDeposit

Tuition fees for international students are fixed for the majority of three year undergraduate courses. This means the price you pay in year one will be the same in years two and three. Some courses are exempt, including four and five year programmes and Medical and Dental courses. Visit our tuition fee pages for the latest information.

Additional costs

There are no additional costs associated with the standard MMORS degree scheme.

Course specific equipment

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.


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

Course structure

This is a four 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.

Year 3 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 4 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, three and four.

The modules shown are an example of the typical curriculum and will be reviewed prior to the 2018/19 academic year. The final modules will be published by September 2018.

Year one

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.

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.

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, as well as additional Statistics and Operational Modules.

The results of Year 2 make up 20% of your final degree classification.

You are required to achieve at least a 55% average and pass at least 100 credits to continue your studies onto Year Three of the scheme. Students who fail to achieve the 55% average will be transferred onto the BSc version of the scheme.

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.

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
Introduction to Number Theory IMA201110 credits
Programming and StatisticsMA250110 credits
Finance II: Investment ManagementMA280010 credits
Problem SolvingMA290010 credits

Year three

The modules in Year Three 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 Three modules should be in the areas of Operational Research or Statistics. There are no core modules in Year Three.

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

At the end of your third year you have the option to graduate with a BSc degree.

Year four

In Year Four, 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 Four 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 Four 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

How will I be taught?

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. The following two years 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 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 four, 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.

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.

How will I be assessed?

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 four 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 20% from your Year Two studies, 30% from Year Three and 50% from Year Four.  An average of at least 55% in Year Two is required to continue on this programme. Students failing to achieve this average will be transferred to the three year BSc in Mathematics, Operational Research and Statistics degree scheme.


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.

The majority of coursework in the School of Mathematics is formative, meaning that the mark given does not form part of your overall mark for the module. This is to encourage students to learn the intrinsic value of completing the work for the educational benefit rather than just to gain a given mark. This ensures that students will carefully consider their feedback and use it to improve and develop their understanding of the material.

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

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 your IT, 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

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

The School of Mathematics has a strong employment record, with graduates entering fields such as the financial services sector as well as organisations such as the Office of National Statistics and the Meteorological Office.

We offer a range of opportunities for you to develop the skills required by employers, including our Careers Management Skills Programme, company presentations and a range of sponsored prizes awarded for academic achievement.


There is the option of transferring to our Year of Study Abroad degree scheme, which would involve an additional fifth year spent at a university abroad.

Studying in Welsh

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

Data from Unistats is not yet available for this course.

Data from Unistats is not yet available for this course.


Next Undergraduate Open Day

Wednesday 27 March




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