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Study information

Mathematics (2023)

1. Programme Title:


NQF Level:


2. Description of the Programme (as in the Business Approval Form)

This is an advanced Masters programme, linked to internationally leading research across the discipline. You will be able to engage with the latest developments from a range of mathematical disciplines with leading academics in the field. Our particular research strengths include magnetic fields, the interface of algebraic number theory and abstract algebra, climate systems dynamics, and display-structure on crystalline cohomology. With its firm focus on career-oriented postgraduate training, working closely with a professional advisory group, this programme opens up a wide range of employment opportunities and also provides an excellent basis for progression to research at PhD level.

3. Educational Aims of the Programme

To provide students with advanced knowledge of classical and contemporary problems in Mathematics.

To generate in students an enthusiasm for Mathematics and an understanding of its role in other sciences. To engage students in intellectually challenging problems and to facilitate scholarship.

To develop research skills, personal skills and core academic skills that will prepare them for a wide range of employment opportunities.

To prepare students for further research in the area of Mathematics such as going onto further study for a PhD.

4. Programme Structure

Your  programme is a (1) year programme of study at National Qualification Framework (NQF) level (7) (as confirmed against the FHEQ). This programme is divided into (1) ‘Stages’. Each Stage is normally equivalent to an academic year.  The programme is also divided into units of study called ‘modules’ which are assigned a number of ‘credits’. The credit rating of a module is proportional to the total workload, with 1 credit being nominally equivalent to 10 hours of work.

Exit Awards

If you do not complete the programme you may be able to exit with a lower qualification.

Postgraduate Diploma: At least 120 credits of which 90 or more must be at level M.

Postgraduate Certificate: At least 60 credits of which 45 or more must be at level M.

5. Programme Modules

The following tables describe the programme and constituent modules. Constituent modules may be updated, deleted or replaced as a consequence of the annual programme review of this programme. Details of the modules currently offered may be obtained from the College web site

You may take Option Modules as long as any necessary prerequisites have been satisfied, where the timetable allows and if you have not already taken the module in question or an equivalent module. Descriptions of the individual modules are given in full on the College web site


Stage 1

Code Title Credits Compulsory NonCondonable
MTHM036Research in Mathematical Sciences15YesNo
MTHM021Advanced Mathematics Project60YesYes
Select 105 Credits:
ECMM4XXM-Level modules in Computer Science15NoNo
MTH30XXMTH30XX Modules in Mathematics30NoNo
MTHM001Functional Analysis15NoNo
MTHM002Methods for Stochastics and Finance15NoNo
MTHM003Analysis and Computation for Finance15NoNo
MTHM004Fractal Geometry15NoNo
MTHM006Mathematical Theory of Option Pricing 15NoNo
MTHM010Representation Theory of Finite Groups15NoNo
MTHM018Dynamical Systems and Chaos15NoNo
MTHM019Fluid Dynamics of Atmospheres and Oceans15NoNo
MTHM023Modelling the Weather and Climate15NoNo
MTHM028Algebraic Number Theory15NoNo
MTHM029Algebraic Curves15NoNo
MTHM030Waves, Instabilities and Turbulence15NoNo
MTHM031Magnetic Fields and Fluid Flows15NoNo
MTHM033Statistical Modelling in Space and Time15NoNo
MTHM041Analytic Number Theory15NoNo
MTHM045Space Weather and Plasmas15NoNo
MTHM047Bayesian Statistics, Philosophy and Practice 15NoNo
MTHM048Ergodic Theory15NoNo
MTHM052Mid-Latitude Weather Systems15NoNo
MTHMXXXM-Level modules in Mathematics15NoNo
NSCM005Mathematical Modelling in Biology and Medicine15NoNo

The optional modules can be chosen subject to approval, pre-requisites, timetabling and availability.

Part time students will follow:

Year 1

You must complete 4 modules (60 credits)

Year 2

You must complete 4 modules (60 credits) one of which must be MTHM036 Research in Mathematical Science.

MTHM021 Advanced Mathematics Project will be completed throughout your programme with a final submission at the end of your final year

6. Programme Outcomes Linked to Teaching, Learning & Assessment Methods

On successfully completing the programme you will be able to: Intended Learning Outcomes (ILOs) will be accommodated & facilitated by the following learning & teaching and evidenced by the following assessment methods:

A Specialised Subject Skills & Knowledge


1. Competence in the essential Mathematics, Statistical and numerical background required for developing and solving mathematical models.

2. Familiarity with the Matlab package and an ability to use it effectively to solve problems and present results arising from modelling.

3. Ability to analyse mathematical models that have been developed by other authors and to understand how these models relate to the real world problems.

4. Ability to develop original and useful models of naturally occurring systems to understand their limitations and to be able to extract helpful information from them.

5. Ability to construct a substantial dissertation on a mathematical topic using the skills developed in the programme.

Learning & Teaching Activities

Lectures, seminars, examples classes, tutorials, practical computer workshops, literature discussion sessions, formative exercises, individual supervision

Assessment Methods

Written coursework, class tests, written examinations

B Academic Discipline Core Skills & Knowledge

1. Formulate, analyse and solve problems.

2. Organise tasks into a structured form.

3. Summarise and analyse data.

4. Integrate theory and applications.

5. Transfer knowledge and methods from one subject area to a different area.

6. Be able to formulate useful models from oral and written descriptions by non-mathematicians.

7. Have a working knowledge of a range of computer packages for solving mathematical problems and for producing publications and presentation quality graphical output.

Learning & Teaching Activities

Lectures, seminars, examples classes, tutorials, practical computer workshops, literature discussion sessions, formative exercises, individual supervision

Assessment Methods

Written coursework, class tests, written examinations

C Personal / Transferable / Employment Skills & Knowledge

1. Use IT software for mathematical word-processing to Tex or Latex standard.

2. Be able to write up a sustained piece of research work in a coherent and logical dissertation.

3. Give interesting and informative oral presentations on high-level scientific research topics.

4. Use libraries, databases and the web effectively for research.

5. Work as part of a team.

6. Manage time effectively.

7. Plan career and personal development.

Learning & Teaching Activities

Practical computer workshops, literature discussion sessions, individual supervision

Assessment Methods

Written coursework, dissertation

7. Programme Regulations


The programme consists of 180 credits with 90 credits taken at each stage where the programme is offered part time.  The pass mark for award of credit in an individual PG module is 50%.


Condonement is the process that allows you to be awarded credit (and so progress to the next stage or, in the final stage, receive an award), despite failing to achieve a pass mark at a first attempt. You are not entitled to reassessment in condoned credit.

Up to (45/30/20) credits of failure can be condoned on the following conditions:

  1. You must have completed and been assessed in modules amounting to sufficient credit for the final award (i.e. 180 credits for a Masters; 120 credits for a PGDip; and 60 credits for a PGCert).
  1. You must pass the modules marked with a 'Yes' in the 'non-condonable' column in the tables above.
  1. You must achieve an average mark of at least 50% across the full 180 credits of assessment in the stage, including any failed and condoned modules.

Assessment and Awards

The award will normally be based on at least 180 credits of which 150 or more must be at level M


The marking of modules and the classification of awards broadly corresponds to the following percentage marks:

Postgraduate Degrees

Distinction   70%+

Merit            60-69%

Pass            50-59%


Full details of  PGT programmes assessment regulations can be found in the Teaching Quality Assurance Manual (TQA) on the University of Exeter website.  Generic marking criteria are also published here.

Please see the Teaching and Quality Assurance Manual for further guidance.


8. College Support for Students and Students' Learning

In accordance with University policy a system of personal tutors is in place for all students on this programme.  A University-wide statement on such provision is included in the University's TQA Manual.  As a student enrolled on this programme you will receive the personal and academic support of the Programme Coordinator and will have regular scheduled meetings with your Personal Tutor; you may request additional meetings as and when required. The role of personal tutors is to provide you with advice and support for the duration of the programme and extends to providing you with details of how to obtain support and guidance on personal difficulties such as accommodation, financial difficulties and sickness. You can also make an appointment to see individual teaching staff.

Information Technology (IT) Services provide a wide range of services throughout the Exeter campuses including open access computer rooms, some of which are available 24 hours, 7 days a week.  Help may be obtained through the Helpdesk, and most study bedrooms in halls and flats are linked to the University's campus network.

Additionally, the College has its own dedicated IT support staff, helpdesk and computer facilities which are linked to the wider network, but which also provide access to some specialised software packages.  Email is an important channel of communication between staff and students in the College and an extensive range of web-based information (see ) is maintained for the use of students, including a comprehensive and annually revised student handbook.

The Harrison Learning Resource Centre is generally open during building open hours. The Centre is available for quiet study, with four separate rooms that can be booked for meetings and group work. Amongst its facilities, the Learning Resource Centre has a number of desks, four meeting rooms with large LCD screens, and free use of a photocopier. Also available are core set texts from your module reading lists, and undergraduate and MSc projects from the past two years.

Online Module study resources provide materials for modules that you are registered for, in addition to some useful subject and IT resources. Generic study support resources, library and research skills, past exam papers, and the 'Academic Honesty and Plagiarism' module are also available through the student portal (

Student/Staff Liaison Committee enables students & staff to jointly participate in the management and review of the teaching and learning provision.

10. Admission Criteria

All applications are considered individually on merit. The University is committed to an equal opportunities policy with respect to gender, age, race, sexual orientation and/or disability when dealing with applications. It is also committed to widening access to higher education to students from a diverse range of backgrounds and experience.

Candidates must satisfy the general admissions requirements of the University of Exeter.

A first degree in an engineering or science subject with at least Second Class Honours or its equivalent, with significant mathematics content will normally be required. Where possible students will be interviewed before admission. Overseas students without English as a first language must show proficiency in English and have an appropriate qualification.

11. Regulation of Assessment and Academic Standards

Each academic programme in the University is subject to an agreed College assessment and marking strategy, underpinned by institution-wide assessment procedures.

The security of assessment and academic standards is further supported through the appointment of External Examiners for each programme. External Examiners have access to draft papers, course work and examination scripts. They are required to attend the Board of Examiners and to provide an annual report. Annual External Examiner reports are monitored at both College and University level. Their responsibilities are described in the University's code of practice.  See the University's TQA Manual for details.




12. Indicators of Quality and Standards

Certain programmes are subject to accreditation and/ or review by professional and statutory regulatory bodies (PSRBs).

14 Awarding Institution University of Exeter
15 Lead College / Teaching Institution College of Engineering, Mathematics and Physical Sciences
16 Partner College / Institution
17 Programme accredited/validated by
18 Final Award(s) MSc
19 UCAS Code (UG programmes) C872
20 NQF Level of Final Awards(s): 7
21 Credit (CATS and ECTS) 180 credits (90 ECTS)
22 QAA Subject Benchmarking Group (UG and PGT programmes) Mathematics, Statistics and Operational Research
23 Origin Date February 8th 2023 Last Date of Revision: June 1st 2023