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Study information

Mathematics (2019)

1. Programme Title:

Mathematics

NQF Level:

7

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

Mathematics plays an important role in many aspects of modern life, providing the techniques and language to handle problems from a wide variety of disciplines. It has always been essential for engineering and the physical sciences and is becoming increasingly important in the life sciences and social sciences. Yet mathematics is not only studied because of its applications; it has a fascination and beauty of its own, characterised by precision and logical rigour. Mathematics forms a rewarding, challenging and varied subject of study at university, and our mathematics degrees span a wide range of mathematical topics, encompassing mathematical methods, pure mathematics, applied mathematics, and probability and statistics. The 4-year MMath programme allows you to follow your mathematical interests to a deeper level than the BSc programme, and is particularly suitable for those considering postgraduate work in mathematics or a career which makes extensive use of advanced mathematical techniques in the academic, industrial or commercial sectors.

3. Educational Aims of the Programme

The programme is intended to:

a) provide a high quality mathematical education comprising a balanced core of key knowledge together with the opportunity to study a range of selected topics in more depth, some at an advanced level;

b) provide the foundations needed for those intending to become professional or research mathematicians;

c) develop the analytical abilities of students so that they can identify and apply appropriate mathematical techniques and methods to solve problems in a range of application areas;

d) develop in students appropriate subject-specific, core academic and personal and key skills in order to prepare them for a wide range of employment opportunities including a research career in mathematics;

e) generate in students an enthusiasm for the subject of mathematics and involve them in a demanding, interesting and intellectually stimulating learning experience reinforced by appropriate academic and pastoral tutorial support.

4. Programme Structure

Your Mathematics programme is a (4) year programme of study at National Qualification Framework (NQF) level (6) (as confirmed against the FHEQ). This programme is divided into (4) ‘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.

Interim Awards

If you do not complete the programme you may be able to exit with a lower qualification. If you have achieved 120 credits, you may be awarded a Certificate of Higher Education in Mathematics, and if you achieve 240 credits, where at least 90 credits are at level 2 or above, you may be awarded a Diploma of Higher Education in Mathematics.
 

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

https://intranet.exeter.ac.uk/emps/



 

Stage 1

Code Title Credits Compulsory NonCondonable
ECM1701Vectors and Matrices15YesYes
ECM1702Calculus and Geometry15YesYes
ECM1704Mathematical Investigations15YesNo
ECM1705Advanced Calculus15YesYes
ECM1706Numbers, Symmetries and Groups15YesYes
ECM1707Probability and Discrete Mathematics15YesNo
ECM1708Dynamics15YesNo
ECM1709Programming for Mathematics15YesNo

Stage 2

Code Title Credits Compulsory NonCondonable
ECM2701Analysis15YesNo
ECM2702Differential Equations15YesYes
ECM2706Vector Calculus and Applications15YesNo
ECM2712Linear Algebra15YesNo
Select 30 to 60 credits:
ECM2704Numerics and Optimisation15NoNo
ECM2707Systems, Series and Transforms15NoNo
ECM2709Statistics15NoNo
ECM2710Statistical Modelling15NoNo
ECM2711Groups, Rings and Fields15NoNo
You may select 0 - 30 credits:
EMP2001Ambassadors for Science15NoNo
XXXXXXXFree Choice - Upto 30 Credits30NoNo

The free choice (electives) can include modules from any College in the University subject to approval, pre-requisites, timetabling and availability.

ECM2710 cannot be chosen without ECM2709.

Not all optional modules listed will be available each year; options are offered at the discretion of the College.

Standard progression to Stage 3 of the MMath: Candidates will have passed all 120 credits of Stage 2 modules each with an overall mark of 40% or higher, and will normally have gained a stage average of 55% or higher. Students who do not reach the threshold may progress to stage 3 of the equivalent BSc programme.

Stage 3

Code Title Credits Compulsory NonCondonable
ECMM736Research in Mathematical Sciences15YesNo
Select 105 credits.
ECM3420Learning from Data 15NoNo
ECM3422Computability and Complexity 15NoNo
ECM3703Complex Analysis15NoNo
ECM3704Number Theory15NoNo
ECM3706Mathematical Biology and Ecology15NoNo
ECM3707Fluid Dynamics15NoNo
ECM3708Partial Differential Equations15NoNo
ECM3711Nonlinear Systems and Control15NoNo
ECM3712Advanced Statistical Modelling15NoNo
ECM3719Mathematics: History and Culture15NoNo
ECM3721Combinatorics 15NoNo
ECM3722Graphs, Networks and Algorithms15NoNo
ECM3724Stochastic Processes15NoNo
ECM3726Cryptography15NoNo
ECM3728Statistical Inference15NoNo
ECM3730Mathematics of Climate Change15NoNo
ECM3732Applications of Geometry and Topology15NoNo
ECM3738Galois Theory15NoNo
ECM3739Computational nonlinear dynamics15NoNo
ECM3740Topology and Metric Spaces15NoNo
EMP3001Commercial and Industrial Experience15NoNo
ECM3741Bayesian statistics, Philosophy and Practice15NoNo
MTH3001Theory of Weather and Climate15NoNo
XXXXXXXFree Choice - Upto 30 Credits30NoNo

The free choice (electives) can include modules at level 2 or 3 from any College in the University subject to approval, pre-requisites, timetabling and availability.

Not all optional modules listed will be available each year; options are offered at the discretion of the College.

 

Stage 4

Code Title Credits Compulsory NonCondonable
Select one of the below Project Modules:
ECMM705Mathematical Sciences Project 330YesNo
MTHM044MMATH Project in Statistics45YesYes
Depending which project has been selected may choose upto 90/75 Credits:
ECMM706Mathematical Theory of Option Pricing 15NoNo
ECMM718Dynamical Systems and Chaos15NoNo
ECMM719Fluid Dynamics of Atmospheres and Oceans15NoNo
ECMM723Modelling the Weather and Climate15NoNo
MTH3001Theory of Weather and Climate15NoNo
ECMM728Algebraic Number Theory15NoNo
ECMM729Algebraic Curves15NoNo
ECMM730Waves, Instabilities and Turbulence15NoNo
ECMM731Magnetic Fields and Fluid Flows15NoNo
ECMM733Statistical Modelling in Space and Time15NoNo
ECMM737Introduction to C++15NoNo
ECMM741Analytic Number Theory15NoNo
ECMM742Advanced Probability Theory15NoNo
ECMM743Logic, Models and Sets15NoNo
MTHM001Functional Analysis15NoNo
MTHM004Fractal Geometry15NoNo
MTHM045Space Weather and Plasmas15NoNo
NSCM005Mathematical Modelling in Biology and Medicine15NoNo
You may select between 0 and 30 Credits:
Free Choice of level M Modules30NoNo
You may select between 0 and 15 credits:
ECM37**Free choice of ECM37XX modules upto 15 credits15NoNo

The free choice (electives) can includecan include modules from any College in the University subject to approval, pre-requisites, timetabling and availability.

Not all optional modules listed will be available each year; options are offered at the discretion of the College.

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

(A) Demonstrate subject knowledge and understanding of:

1) the terminology and conventions used in mathematics;
2) a range of fundamental concepts and techniques from calculus, vectors, analysis, algebra, dynamics, probability, statistics, computation and optimization;
3) the breadth of topics that can be tackled by mathematics and the use of the key techniques in a range of applicable areas;
4) a selection of more specialist optional topics from various branches of mathematics;
5) a deeper insight into selected more advanced areas of mathematics and their applications;
6) the fundamentals of the use of modern technology in mathematics, for example computer algebra or computational packages.
7) work on a substantial independent project relating to an advanced topic at the interface of research mathematics.
8) research methods and techniques in mathematics.

Learning & Teaching Activities

Knowledge in (1-4) is primarily provided through formal lectures supported by regular problem sheets for students to tackle on their own. At Stages 1 and 2 lectures are reinforced by regular tutorial groups in which assistance with, and feedback on, problem sheets is given. At later stages in the programme students work on set problems by themselves and seek help when required using the office hours of staff. Applications of mathematics (3) are introduced in various Stage 1 and 2 modules and more advanced applications are introduced in Stage 3 options. Modules at Stage 3 encompass a range of special topics in mathematics (4). In depth knowledge of selected topics (5) is provided in Stage 4 options. Knowledge in (6) is provided through computer practical classes at Stage 1 and is reinforced in some other module in Stage 1 and at later stages. Knowledge in (7) and (8) is acquired in the project at the final stage.

Assessment Methods

Most knowledge is tested through a combination of written coursework and unseen formal examinations. Assessment of some optional modules involves essays, project reports, oral presentation or computer practicals. The compulsory project is assessed through a written report and an associated viva.

B Academic Discipline Core Skills & Knowledge

1) think logically;
2) understand and construct mathematical proofs;
3) formulate, analyse and solve problems;
4) organise tasks into a structured form;
5) integrate theory and applications;
6) transfer appropriate knowledge and methods from one topic within the subject to another;
7) apply a range of mathematical ideas to unfamiliar problems and demonstrate good selection of choice in solution strategy;
8) demonstrate a capacity for critical evaluation of arguments and evidence;
9) present mathematical material clearly, logically and accurately, both in writing and orally;
10) plan, execute and report on a substantial project and defend the results

Learning & Teaching Activities

All these skills are an essential part of the understanding of mathematics, are embedded throughout core elements of the programme and are intrinsic to good performance in the programme. They are developed through formal lectures, tutorials, coursework, computer practicals, use of IT and private study. Skills (7-9) in particular are reinforced in optional modules involving directed reading, reports or seminars at Stages 3 or 4. The final Stage project develops skills (4), (5) and (7-10).

Assessment Methods

All these skills are tested indirectly in various core elements of the programme, with (5-9) contributing particularly to the more successful work. They are all assessed in part through written coursework and in part by unseen formal examinations. Skills (8-10) are directly assessed in some optional modules via oral presentation, essays or reports. Skills (4), (5) and (7-10) are assessed in the final Stage project and associated viva.

C Personal / Transferable / Employment Skills & Knowledge

1) use a range of IT software including standard and mathematical word-processing applications and computer algebra software;
2) communicate ideas effectively and clearly by appropriate means including oral presentation;
3) manage time effectively;
4) search and retrieve information from a variety of sources including libraries, databases and the web;
5) work as part of a team;
6) demonstrate independent learning ability required for continuing professional development;
7) plan their career and personal development.

Learning & Teaching Activities

Skill (1) is developed from Stage 1 through use through use of the mathematical computing packages in core Stage 1 modules. Skills (1-2) are developed in various other core components of the programme e.g. oral presentations in Stage 1 tutorials, and the requirement for submission of word-processed coursework in some assignments in certain modules at Stages 1 and 2. Skill (3) is intrinsic to successful completion of the programme. Skills (4) and (5) are developed in one of the core modules at Stage 1 and in some optional Stage 3 and 4 modules involving project or group work. Skills (2), (4) and (6) are integral to the compulsory advanced project at Stage 4. Skill (7) is reinforced through annual self-appraisals with personal tutors.

Assessment Methods

Skills (1-3) are indirectly assessed as part of coursework in core modules and effective use of skills (1-4) will generally enhance performance throughout the programme. Skills (1-5) are more directly assessed in one of the core modules at Stage 1 and at Stage 3 in some optional modules via group exercises, essays, project reports or oral presentations. Skills (2), (3), (4) and in particular (6) are assessed in the final year project report and associated viva.

7. Programme Regulations

Credit

The programme consists of 480 credits with 120 credits taken at each stage. Normally not more than 75 credits would be allowed in any one term. In total, participants normally take no more than 150 credits at level 4, and must take at least 210 credits at level 6 or higher of which at least 120 must be at level 7.

The pass mark for award of credit in an individual module is 40% for modules taken at NQF levels 4, 5 and 6; and 50% for modules taken at NQF level 7

Progression

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 30 credits of failure can be condoned in a stage on the following conditions:

You must have registered for and participated in modules amounting to at least 120 credits in the stage.

You must pass the modules marked with a 'Yes' in the 'non-condonable' column in the tables above.

In stages 1-3 you must achieve an average mark of at least 40% across the full 120 credits of assessment, including any failed and condoned modules. In the final stage you must achieve an average mark of at least 50% across the full 120 credits of assessment, including any failed and condoned modules.

Assessment and Awards

Assessment at stage one does not contribute to the summative classification of the award. The award will normally be based on the degree mark formed from the credit-weighted average marks for stages 2 and 3 and 4  combined in the ratio 2:3:4 respectively.

Classification

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

Class I    70% +                                                      

Class II   Division I 60-69%                                     

Class II   Division II 50-59%                                    

Class III  40-49%

Full details of assessment regulations for UG programmes 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 https://intranet.exeter.ac.uk/emps/ ) 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 (http://vle.exeter.ac.uk)

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.

Applicants are normally invited to attend an Admissions Day, which will include the opportunity to talk with and question members of the academic staff.

Candidates must satisfy the University and the entrance requirements for this programme. These are published in full in the University of Exeter Undergraduate Prospectus (see http://www.ex.ac.uk/undergraduate/). In addition to candidates offering GCE AS and A2, those offering International Baccalaureate, and appropriate VCE A-levels will also be considered, as well as mature candidates with evidence of appropriate alternative qualifications. Direct entry to Stage 2 of the programmes will also be considered for candidates who have successfully completed study equivalent to the core material in the first stage of the programmes.

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).
The MMath Mathematics is accredited by the Institute of Mathematics and its Applications (IMA).

This degree programme is approved to meet the educational requirements of the Chartered Mathematician designation (CMath) awarded by the Institute of Mathematics and its Applications (IMA). See www.ima.org.uk for further information.

Accreditation is awarded for a maximum of 6 years under each assessment exercise. The dates applicable to the current accreditation of this degree programme can be viewed on the IMA list of accredited degrees: www.ima.org.uk .

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 Graduates eligible for membership of the Institute of Mathematics and its Applications.
18 Final Award(s) MMath (Hons)
19 UCAS Code (UG programmes) G102
20 NQF Level of Final Awards(s): 7
21 Credit (CATS and ECTS) 480 credits (240 ECTS)
22 QAA Subject Benchmarking Group (UG and PGT programmes) Mathematics, Statistics and Operational Research
23 Origin Date July 10th 2018 Last Date of Revision: April 8th 2019