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Undergraduate

MSci/BSc Mathematics

MSci programme: UCAS Code: G103; Route Code: UMSH4CSMM

BSc programme: UCAS Code: G100; Route Code: UBSH3CSMM

Single subject Mathematics students are registered either for the MSci degree or the BSc degree.  The MSci in Mathematics is a four-year programme whist the BSc in Mathematics is a three-year programme; the two programmes are the same for the first two years, and there are minor differences in the optional and compulsory modules in the third year.

Please remember to check the handbook for the year of your entry to see the modules available to you.  If you are unsure please contact your programme administrator.

For information about Study Abroad opportunities please see the Study Abroad page.

 

Programme Description

In the first year there are eight compulsory modules; in the second year there are five compulsory modules and students should select three further optional modules; in the third year students should select at least four (MSci) or at least two (BSc) from a list of “selected options” and there is a wide range of further optional modules available.

In the fourth year, there is again a wide range of optional modules in various areas of pure and applied mathematics. Each of these modules has a set of required or recommended prerequisite modules, and so students entering the third year must make sure they choose sufficient third year modules which will enable them to study the area(s) they are most interested in during their fourth year. Recommended third year combinations providing suitable preparation for the fourth year modules are given below; the details of recommended and required prerequisite modules are given on the modules pages.
Fourth year students must also undertake a project, worth 30 credits, which they choose at the start of the first semester.

Students may transfer between the two programmes in the first two years, but there is a deadline in early autumn in the third year for students who want to transfer from the BSc to the MSci degree. MSci students who do not perform well enough may be required to transfer to the BSc programme – details are given on the Progression and Reassessment page of the handbook.

The large majority of modules are examined in May, notable exceptions being 4CCM111a and 7CCMFM01u which are examined in January, and the project modules which have submission deadlines at the end of the second semester.

Students can also ask to take extra modules (for “additional credit”) or modules outside the department. Some details are included below, but this should always be discussed with, and agreed by the programme director.

 

Core module: must be taken and  passed

Compulsory module: must be taken

 

First Year

Programme Director:  Dr Payman Kassaei

All the modules in the first year are compulsory. Each module is worth 15 credits.

 

First semester 

Compulsory modules: 

4CCM111a Calculus I 

4CCM113a Linear Algebra and Geometry I

4CCM115a Sequences and Series

4CCM121a Introduction to Algebra


Second semester  

Compulsory modules: 

4CCM112a Calculus II

4CCM114a Linear Algebra and Geometry II

4CCM131a Introduction to Dynamical Systems

4CCM141a Probability and Statistics I

NOTE: in order to progress to the second year you must:

  • gain an overall average of at least 40%
  • no individual mark lower than 33% in mathematics modules
  • pass at least 90 credits overall

From 2014/15 onwards: In exceptional cases, these requirements may be suspended for students with mitigating circumstances at the discretion of the department.

Second Year

Programme Director:  Dr Payman Kassaei

Each module is worth 15 credits.

 

First semester

Compulsory modules: 

5CCM221a  Real Analysis

5CCM231a  Classical Dynamics 

5CCM232a Groups and Symmetries

 

Optional modules:

5CCM224a Introduction to Number Theory

5CCM241a  Probability and Statistics II

 

Second semester

Compulsory modules: 

5CCM211a Applied Differential Equations

5CCM212a Complex Analysis

 

Optional modules: 

5CCM223a Geometry of Surfaces

5CCM226a Metric Spaces and Topology

5CCM242a Statistical Modelling

5CCM251a Discrete Mathematics

 

 

Students may also take a language module for “additional credit”, in addition to their standard programme requirements. Please see the Programme Extras page for details. The additional module may be at any level, so long as it is considered appropriate by the Modern Language Centre. 

Students need the permission of their Programme Director to take additional credit and are allowed to take a maximum of additional 30 credits (normally two extra modules) during their whole degree programme. 

Third Year

Programme Director: Dr James Newton

There are two lists of modules, list A and list B. Each of these modules is worth 15 credits.

Students normally take eight modules in total (120 credits) from these two lists.

BSc students are required to take at least two modules from list A.

MSci students are required to take at least four modules from list A.

The choice of modules is subject to the agreement of the Programme Director and timetabling issues.

MSci students entering the third year must make sure that they choose sufficient third year modules to enable them to study the area(s) they are most interested in during their fourth year. Recommended third year combinations providing suitable preparation for the fourth year modules as well as the details of recommended and required prerequisite modules are given in the fourth year section, under ‘Module groupings'.

First semester

List A:

6CCM314a Mathematical theory of collective behaviour   

6CCM321a Real Analysis II (not available in 2019/20)

6CCM327a Topology

6CCM331a Special Relativity and Electromagnetism

6CCM332a Introductory Quantum Theory

6CCM341a Fundamentals of Probability Theory

6CCM350a Rings and Modules

6CCM388a Mathematical Finance I: Discrete Time

6CCM436a Advanced Quantum Mechanics

6CCMCS02 Theory of Complex Networks

List B:  

6CCM224b Introduction to Number Theory

6CCM241b Probability and Statistics II

6CCM345a Third Year Project*

6CCM359a Numerical and Computational Methods

 

 

Second semester

List A:

6CCM212b Complex Analysis

6CCM226b Metric Spaces and Topology

6CCM318a Fourier Analysis

6CCM326a Galois Theory

6CCM338a Mathematical Finance II: Continuous Time

6CCM334a Space-Time Geometry and General Relativity

List B:

6CCM242b Statistical Modelling

6CCM251b Discrete Mathematics

6SSEQ002 University Ambassador Scheme

6CCM342a Statistical Inference

6CCM344a Time Series Analysis

6CCM345a Third Year Project*

6CCM351a Representation Theory of Finite Groups

6CCMCS05 Mathematical Biology

*6CCM345a (Third Year Project) is a 15 credit modules, taken over the two semesters.

 

Other options may also be permitted subject to the agreement of the Programme Director and timetable issues.

 

Students may also take a language module in addition to their standard programme requirements. Please see the Programme Extras page for details. The additional module may be at any level, so long as it is considered appropriate by the Modern Language Centre.

Alternatively, a language module of level 5 or above can be taken in the place of one of the standard options. Students need the permission of their Programme Director for this and are allowed to take a maximum of 30 additional credits (normally two extra modules) during their whole degree programme.

 

You may, subject to the approval of the Programme Director, also take modules at other colleges of the University of London - normally no more than two modules

Please note however that should you select Intercollegiate modules and fail them, you may not be able to re-sit them until the following year in accordance to other colleges of the University of London rules and regulations.

Fourth Year (MSci)

Programme Director: Professor Jürgen Berndt

The precise number of level 7 modules you need to take and pass depend on the year in which you started.  These details are given on the Regulations page.

Many of the optional modules fall naturally into different areas of Mathematics. You are strongly advised to take complimentary sets of modules, as studying modules in related areas can reinforce your understanding, both of the separate modules and also of the area as a whole. It can also make choosing a project topic easier. For each of these areas there is a set of recommended third year options, some of which are formal pre-requisites. Not only is it essential to take the necessary pre-requisite modules, but it is very helpful to have studied any specifically recommended modules in the third year in order to ensure a successful fourth year.

The project module is a very important part of your final year; it involves a written report and giving a seminar to staff and fellow students.

Further details of the project module including registration and submission are available on the KEATS page.

 

Module groupings:

 

Algebra

7CCMMS01 Lie Groups and Lie Algebras

7CCMMS03 Algebraic Number Theory

7CCMMS20U Algebraic Geometry

7CCM351b Representation theory of finite groups (if 6CCM351a/7CCM351b not taken in the third year)

Recommended/prerequisite third year options:

6CCM327a Galois Theory

6CCM350a Rings and Modules

6CCM351a Representation theory of finite groups

Analysis

7CCMMS05U Metric and Banach Spaces

7CCMMS08U Operator Theory

7CCMMS22U Nonlinear Analysis

7CCMFM01U Probability Theory

7CCM327b Topology (if 6CCM327a/7CCM327b not taken in the third year)

Recommended/prerequisite third year options:

6CCM318a Fourier Analysis

6CCM321a Real Analysis II (not available in 2019/20)

6CCM322a Complex Analysis (not available in 2019/20)

6CCM327a Galois Theory

Complex Systems

(See the note below on how to select these options)

7CCMCS02 Theory of Complex Networks (if 6CCMCS02 is not taken in the 3rd year - note permission from the programme director is not needed.)

7CCMCS03 Equilibrium analysis of complex systems

7CCMCS04 Dynamical Analysis of complex systems

7CCMCS05U Mathematical Biology (if 6CCMCS05 is not taken in the 3rd year - note permission from the programme director is not needed.)

7CCMCS06 Elements of Statistical Learning

Recommended/prerequisite third year options:

6CCM314a Mathematical Theory of Collective Behaviour

6CCMCS02 Theory of Complex Networks

6CCMCS05 Mathematical Biology

Geometry

7CCMMS01U Lie Groups and Lie Algebras

7CCMMS16U Algebraic Curves

7CCMMS18U Manifolds

7CCMMS20U Algebraic Geometry

7CCM327b Topology (if 6CCM327a/7CCM327b not taken in the third year)

Recommended/prerequisite third year options:

6CCM322a  Complex Analysis (not available in 2019/20)

6CCM327a Topology

6CCM350a Rings and Modules

Theoretical Physics

7CCM334BU Spacetime Geometry and General Relativity

7CCMMS01U Lie Groups and Lie Algebras

7CCMMS18U Manifolds

7CCMS31U Advanced Quantum Mechanics

7CCMMS32U Quantum Field Theory

7CCMMS34U Strings and Branes

7CCMMS38U Advanced General Relativity

7CCMMS40U Supersymmetry

 

Recommended/prerequisite third year options:

6CCM331a Special Relativity and Electromagnetism

6CCM332a Introduction to Quantum Theory

6CCM334a Spacetime Geometry and General Relativity

 

Modules by Semester:

Note: You may also take selected third year modules in the fourth year if they are available as a level 7 option. 

First semester

Core module: 

7CCM461a Project (taken over both semesters)

Standard options: 

7CCM321b Real Analysis II (not available in 2019/20)

7CCM350b Rings and Modules

7CCMMS01 Lie Groups & Lie Algebras

7CCMMS05 Metric and Banach Spaces

7CCMMS16U  Algebraic Curves 

7CCMMS18 Manifolds 

7CCMMS31 Advanced Quantum Mechanics

7CCMMS32 Quantum Field Theory

7CCMCS02U Theory of Complex Networks

7CCMFM01U Probability Theory

Additional options (not available online)*:

7CCMCS04 Dynamical Analysis of Complex Systems

7CCMCS06 Elements of Statistical Learning


Second semester

Core module: 

7CCM461a Project (taken over both semesters)

Standard options: 

7CCM326b Galois Theory

7CCM334b Space-time Geometry and General Relativity

7CCM351b Representation Theory of Finite Groups

7CCMCS05U Mathematical Biology

7CCMMS03 Algebraic Number Theory

7CCMMS08 Operator Theory

7CCMMS11 Fourier Analysis

7CCMMS20 Algebraic Geometry

7CCMMS22 Nonlinear Analysis

7CCMMS34 String Theory and Branes

7CCMMS38 Advanced General Relativity

7CCMMS40 Supersymmetry

Additional options*:

7CCMCS03 Equilibrium analysis of Complex Systems

* Additional options: Please note that these modules will not be available to select on Student Records. If you would like to take one or more of these modules, you will need to seek approval from the module lecturer and then final approval from your Programme Director. Undergraduate students are prohibited from taking Financial Maths modules (those commencing with 7CCMFM) except 7CCMFM01U.

  • Students may also take a language module in addition to their standard programme requirements. Please see the Programme Extras page for details. The additional module may be at any level, so long as it is considered appropriate by the Modern Language Centre. Students need the permission of their Programme Director to take additional credit
  • You may, subject to the approval of the Programme Director, also take modules at other colleges of the University of London - normally no more than two modules
  • Please note however that should you select Intercollegiate modules and fail them, you may not be able to re-sit them until the following year in accordance with other colleges of the University of London rules and regulations.



 

18 March 2019

 

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