PROGRAMME SPECIFICATION MSc Mathematics, Exams of Mathematics

To enable students to think logically. • To learn how to formulate mathematical problems and solve them. The College standard learning aims and outcomes apply ...

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2021/2022

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PAF originally approved: June 2007
Last update: June 2020
1
PROGRAMME SPECIFICATION
MSc Mathematics TMSC1CTMAT, TMSC2CTMAT
Core Programme Information and Award Details
Programme Name
Mathematics
Programme Code
Full time - TMSC1CTMAT
Part time - TMSC2CTMAT
Programme designation
Single honours Joint Major/minor
Final award
Award
Title
Credit
Value
Any special criteria
MSc
Mathematics
180
N/A
Nested awards
Award
Title
Credit
Value
Any special criteria
N/A
N/A
N/A
N/A
Exit awards
Award
Title
Credit
Value
Any special criteria
PGCert
Natural and
Mathematical
Sciences
(Mathematics)
60
N/A
PGDip
Natural and
Mathematical
Sciences
(Mathematics)
120
N/A
Level in the qualifications framework
7
Awarding institution/body
King’s College London
Teaching institution
King’s College London
Lead Faculty
Faculty of Natural and Mathematical Sciences
Lead Department
Mathematics
Campus
Strand
Programme organiser and contact details
Professor Jurgen Berndt
UCAS code (if appropriate)
Date of production of specification
June 2007, Updated in June 2020
Date of programme review
2018/19
Collaborative provision, partnerships and placements
Is the programme involved in any
collaborative activity?
No
Does the collaboration involve one of:
Joint Award within UoL
Joint Award outwith UoL
Multiple
Dual
Institution responsible for administration
King's College London
X
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PAF originally approved: June 2007 1

PROGRAMME SPECIFICATION

MSc Mathematics – TMSC1CTMAT, TMSC2CTMAT

Core Programme Information and Award Details

Programme Name Mathematics Programme Code Full time - TMSC1CTMAT Part time - TMSC2CTMAT Programme designation Single honours Joint Major/minor Final award Award Title Credit Value

ECTS

equivalent Any special criteria MSc Mathematics 180 90 N/A Nested awards Award Title Credit Value

ECTS

equivalent Any special criteria N/A N/A N/A N/A N/A Exit awards Award Title Credit Value

ECTS

equivalent Any special criteria PGCert Natural and Mathematical Sciences (Mathematics)

60 30 N/A

PGDip Natural and Mathematical Sciences (Mathematics)

120 60 N/A

Level in the qualifications framework 7 Awarding institution/body King’s College London Teaching institution King’s College London Lead Faculty Faculty of Natural and Mathematical Sciences Lead Department Mathematics Campus Strand Programme organiser and contact details Professor Jurgen Berndt [email protected] UCAS code (if appropriate) Date of production of specification June 2007, Updated in June 2020 Date of programme review 2018/

Collaborative provision, partnerships and placements

Is the programme involved in any collaborative activity? No Does the collaboration involve one of: Joint Award within UoL Joint Award outwith UoL Multiple Dual Institution responsible for administration King's College London X

PAF originally approved: June 2007 2 Partner institution Both institutions Institution awarding the degree King's College London Partner institution Both institutions Type of Collaboration Programme has access/feeder programme entry into it Programme has an articulation/progression agreement for entry in it Franchised programme Partnership programme Placements Recognition for Study or Award of credit through off-campus study or placement Staff and Student exchange Provision of learning support, resources or specialist facilities Validation provision Distance learning and online delivery involving work with deliver organisations or support providers List of Partner Institutions Collaborating institution type No collaborating organisation Large private company Small or Medium (SME) Enterprise Overseas Education Provider Other UK Education Provider – private Other UK Education Provider – public sector NHS Other public sector organisation Charity Other Multiple collaborators of different types Off-campus study or placement type Year Abroad Year in Employment Internship Placement Other Nature of study of off-campus study or placement (how time is spent, length of time out and the number of times during the programme) Is the collaborative activity compulsory? Number of credits obtained Year(s) in which the study or placement takes place (Full Time)

PAF originally approved: June 2007 4 Skills and other attributes Intellectual skills:

1. To formulate mathematical problems and

solve them.

2. Reason logically.

3. Develop a fluency in using mathematical

techniques.

4. Be self-directed in solving problems and

understanding new material. These are achieved through the following teaching/learning methods and strategies : Intellectual skills are developed through the lectures and the work the students are required to carry out in order to understand the material and solve the set problems. The questions asked by the students and answers given by the lecturer during the lectures play an important role. Assessment: Analysis and problem-solving skills are assessed through unseen written work, examination and the written project. Practical skills :

  1. Learn advanced mathematics from lectures and reading literature.
  2. Write notes on modules studied.
  3. Plan and undertake a project and write up the understanding gained of the chosen topic. These are achieved through the following teaching/learning methods and strategies : The practical skills are developed through the lectures and project work. In particular, in the process of understanding of the material required to correctly answer examination questions. Assessment: The practical skills are assessed as a by- product of the examination and the grading of the written project. Generic/transferable skills :
  4. Apply mathematical skills to problems.
  5. Use information technology and library resources.
  6. Manage time and plan workload.
  7. Learn independently with a spirit of actual enquiry.
  8. Communicate effectively.
  9. Calculate reliably.
  10. Effective note-taking These are achieved through the following teaching/learning methods and strategies : Skills 1, 3, 4, 6 and 7 are essential by- products of learning the material given in the lectures and solving the set problems. Skills 2 and 5 are particularly acquired during the project work. Assessment: These skills are effectively assessed by the examination and grading of the written project.

PAF originally approved: June 2007 5

QAA Benchmarking

Relevant QAA subject benchmark/ professional and statutory body guidelines How the programme has been informed by the relevant subject benchmark statements(s) and/or professional and statutory body guidelines There are no specific benchmark statements for this programme. However, the proposal is fully in line with current thinking concerning MSc in the Framework for Higher Education Qualifications and the subject benchmark statements for undergraduate degrees in Mathematics, Statistics and Operations Research. Programme accredited by PSRB? Date of PSRB accreditation Frequency of validation Date of next accreditation validation

Department contribution to teaching

Department Contribution (%) Department Mathematics 100% Nature of the contribution of each Department Rationale for particular subject combination in the case of Joint Honour Programmes

N/A

Programme Structure and Curriculum

Credits taken in each year of the programme Year Full-time Part-time Year 1 180 60 Year 2 N/A 120 Pattern of Study Number of compulsory and optional modules to be taken in each year of the programme Full time students Year 1: 60 credits core, 120 credits from optional modules. Part time students Year 1: at least 3, and at most 5 optional modules of 15 credits each, or equivalent Year 2: at least 3, and at most 5, optional modules of 15 credits each, or equivalent, so that the total value of modules taken in year one and two is 120 credits. Students must also complete the core project, 60 credits. When selecting optional modules, students can take at most 3 from 7CCMCSxx or 7CCMFMxx modules – please see module list in the handbook. Any modules taken at other University of London institutions in the areas of Complex Systems or Financial Mathematics count towards this total of 3 modules. If a Master’s programme, are level 6 credits permitted within the programme? Yes May be permitted to take level 6 modules with academic approval Maximum credits for a condoned fail? 30 Condoned fails are permitted, at the discretion of the Assessment Board, for marks in the range of 33 - 39% for level 4 and compulsory level 5 and 6 modules, 1-39% for optional level 5 and 6 modules

PAF originally approved: June 2007 7

Module List

Title Credit level Credit value Status Pre-requisite / Co-requisite Assessment 7CCMMS50 Mathematics MSc project 7 60 Cr Dissertation 7CCM334B Space-time Geometry and General Relativity

7 15 O

Exam 7CCMMS40 Supersymmetry and Conformal Field Theory

7 15 O

Exam 7CCMMS31 Advanced Quantum Mechanics 7 15 O Exam 7CCM326B Galois Theory [Extended version] 7 15 O Exam 7CCM350B Rings and Modules [Extended version] 7 15 O Exam and coursework 7CCM314B Mathematical Aspects of Statistical Mechanics

7 15 O

7CCMMS01 Lie groups and Lie Algebras 7 15 O Exam 7CCMMS03 Algebraic Number Theory 7 15 O Exam 7CCMMS05 Infinite Dimensional Vector Spaces 7 15 O Exam 7CCMMS11 Fourier Analysis 7 15 O Exam 7CCMMS18 Manifolds 7 15 O Exam 7CCMMS20 Algebraic Geometry 7 15 O Exam 7CCMMS32 Quantum Field Theory 7 15 O Exam 7CCMMS34 Strings,Branes and Quantum Gravity 7 15 O Exam 7CCMMS38 Space-time Structure of Black Holes and the Universe

7 15 O

Exam 7CCMMS43 Gauge Theory and Renormalisation 7 15 O Exam Students can select at most three of their optional modules from the following: 7CCMFM01 Probability Theory 7 15 O Exam and class test 7CCMFM02 Risk Neutral Valuation 7 15 O Exam 7CCMFM03 Financial Markets 7 15 O Exam 7CCMFM04 Stochastic Analysis 7 15 O Exam and class test 7CCMFM05 Statistics in Finance 7 15 O Exam 7CCMFM06 Numerical and Computational methods in Finance

7 15 O

Coursework

PAF originally approved: June 2007 8 7CCMFM13 C++ for Financial Mathematics 7 15 O Exam 7CCMFM18 Machine Learning 7 15 O Exam 7CCMCS02 Theory of Complex Networks 7 15 O Exam 7CCMCS03 Equilibrium Analysis of Complex Systems 7 15 O Exam 7CCMCS04 Dynamical Analysis of Complex Systems 7 15 O Exam 7CCMCS05 Mathematical Biology 7 15 O Exam 7CCMCS06 Elements of Statistical Learning 7 15 O Exam Exceptionally students may be able to undertake modules at level 6 or modules from the Other Departments within King’s with the approval of the programme director. 6, 7 15,30 O In addition up to 30 credits from any Mathematics MSc programme running in the University of London with the approval of the programme director 7 15,30 O