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Undergraduate

BA Mathematics and Philosophy

*From September 2017 these programmes will be closed to admissions**

UCAS code: GV15 / Route Code: UBAH3AJMMPL

Maths Programme Director: Professor Vladimir Dokchitser

Philosophy Department Education Lead: Dr Maria Alvarez

Please note that the information on these pages refers to the Mathematics modules only.  Please see the Philosophy Handbook for the most up to date information on the Philosophy modules.

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. 

The BA in Mathematics and Philosophy is a three year joint honours programme with students normally spending equal time on modules from Mathematics and Philosophy.  Students on this programme have programme directors in both departments, whilst the Philosophy department in the Faculty of Arts and Humanities is in overall charge of the programme, module selection and registration deadlines, etc.

Programme Description

Philosophy Modules: For course descriptions and assessments details on specific modules see the information provided on Department of Philosophy webpages.

Mathematics Modules: The majority of Mathematics modules taken by Joint Honours students are the same as the ones taken by Single Subject mathematicians. However, some modules have been devised with the special needs of the Joint Honours student in mind.

In the first year students must take four mathematics and four philosophy modules. There are three compulsory mathematics modules and students must choose the fourth from three options.

In the second year students must again take at least four mathematics modules, with three compulsory modules and the fourth allows some possibility of choice.

In the third and final year, students must again take at least four modules approved by the mathematics programme director with a wide range of options available.  Some of these options are only possible if the appropriate pre-requisites are taken in the first and second year, and these are highlighted in the sections on each year.  Please see the section below for the range of options in each year.

The majority of mathematics modules are examined in May, notable exceptions being 4CCM111a which is examined in January and the project module which has a submission deadline at the end of the second semester.

Students can also ask to take extra modules (for additional credit) or modules outside of 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

In the first year students must take 5 mathematics modules and 3 philosophy modules.  Each of these modules is worth 15 credits.  There are 4 compulsory mathematics modules and students must choose the fifth from two options.  The choice of modules in the second and third year will depend on this third option, so please think carefully; if you already know that there are topics that interest you in later years it is important to make an appropriate choice now.

 

Mathematics Modules:


First semester

Compulsory modules: 

4CCM111a Calculus I

4CCM113a Linear Methods

4CCM115a Numbers and Functions


Second semester

Compulsory modules: 

4CCM112a Calculus II

Standard Options:

4CCM121a Introduction to Abstract Algebra*

This module is a pre-requisite for Linear Algebra in the second year and consequently for Galois Theory in the third year.  This topic must be taken in either the first or second year.

4CCM131A Introduction to Dynamical Systems 

This module is a pre-requisite for Intermediate Dynamics in the second year and consequently for Introductory Quantum Theory in the third year.

*Students must choose to do one of 4CCM121a and 4CCM131a in year one.  The level 5 version of the remaining modules must be taken in year two.

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

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

 In exceptional cases, these requirements may be suspended for students with mitigating circumstances at the discretion of the department.

Second Year

In the second year, students must take at least 4 mathematics modules and 4 philosophy modules worth 15 credits each.  By the end of the second year you must have taken both Numbers and Functions and Introduction to Abstract Algebra.  

You must also take either Analysis I (a course in Mathematical Analysis having a high level of mathematical rigour in the style of pure mathematics) or Applied Analytic Methods (a course less oriented on mathematical rigour but including many applications and covering many of the same topics). 

You should then choose other options modules to make up the requirement of 60 credits/4 mathematics modules in year 2.

Very well prepared students may choose to take one further module for additional credit bringing the total of maths modules to 5, or 75 credits.  You may take no more than 30 additional credits throughout your whole degree programme. Please discuss this with your programme director if you are interested.

Mathematics Modules:

 

First Semester 

Compulsory Options:

5CCM221a  Analysis I *

5CCM250a Applied Analytic Methods* (not available in 2019/20)

 

Standard options: 

5CCM122b Geometry 1

5CCM222a Linear Algebra

5CCM224a Introduction to Number Theory

5CCM231a Intermediate Dynamics (new version for 2019/20 - Classical Dynamics)

*See above for the rules on Analysis modules

 

Second Semester

Compulsory modules:

5CCM121b Introduction to Algebra** 

5CCM131b Introduction to Dynamical Systems**

** Students should select the module that has not been taken in the first year of study.

 

Standard options: 

5CCM141b Probability and Statistics I

5CCM211a PDEs and Complex Variables (new version for 2019/20 - Applied Differential Equations)

5CCM223a Geometry of Surfaces

5CCM232a Groups and Symmetries (taught in semester 1 in 2019/20)

5CCM251a Discrete Mathematics

 

Philosophy Modules:


Note: Students choosing to take level 6 Philosophy options in the second year, if allowed by the Programme Director, may experience timetable clashes which cannot be resolved.

NB: You must ensure that between your philosophy selections and your maths selections that you have chosen at lease 90 credits at level 6 during your degree.  You need to pass at least 90 credits at level 6 in order to gain a BA (Hons) degree.

Third Year

Students starting before September 2016: 

Students must take 60 credits from each department in the third year.

Students starting from September 2016 onwards:

Students to take a minimum of 45 credits, and at most 75 credits, from each department.  

Students also have the option to take additional credit modules. You may take no more than 30 additional credits throughout your whole degree programme. Please discuss this with your programme director if you are interested.

NB: You must ensure that between your philosophy selections and your maths selections that you have chosen at lease 90 credits at level 6 during your degree.  You need to pass at least 90 credits at level 6 in order to gain a BA (Hons) degree.

Mathematics Modules: 


First Semester

Standard options: 

6CCM222b Linear Algebra (not available in 2019/20)

6CCM212b Complex Analysis

6CCM224b Introduction to Number Theory

6CCM231b Intermediate Dynamics (new version for 2019/20 - Classical Dynamics)

6CCM241b Probability and Statistics II

6CCM314a Mathematical Theory of Collective Behaviour 

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

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

6CCM327a Topology

6CCM331a Special Relativity & Electromagnetism

6CCM332a Introductory Quantum Theory

6CCM345a Third Year Project [this module runs over both semesters]

6CCM350a Rings and Modules 

6CCM359a Numerical and Computational Methods

6CCM388a Mathematical Finance I: Discrete Time 

6CCMCS02 Theory of Complex Networks


Second Semester 

Standard options: 

6CCM211b PDEs and Complex Variables (new version for 2019/20 - Applied Differential Equations)

6CCM223b Geometry of Surfaces

6CCM226b Metric Spaces and Topology

6CCM232b Groups and Symmetries (taught in semester 2 in 2019/20)

6CCM242b Statistical Modelling

6CCM251b Discrete Mathematics

6CCM326a Galois Theory 

6SSEQ002 University Ambassador Scheme

6CCM334a Space-time Geometry & General Relativity

6CCM345a Third Year Project  [this module runs over both semesters]

6CCM338a Mathematical Finance II: Continuous Time

6CCM351a Representation Theory of Finite Groups

6CCMCS05 Mathematical Biology

 

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 the rules and regulations of other colleges of the University of London.

You may choose to take a language module from the Modern Language Centre at level 5 or higher as one of your standard options, subject to the approval of the programme director.  This can be taken as a part of the mathematics or the philosophy credits.

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

 

Philosophy Modules:

 

You will take at most 75 credits worth of philosophy modules (depending on year of entry - please see details at the top of the section about which rule applies) approved by the philosophy department, at least 45 of which must be at level 6. The remaining credits may be at level 5 or 6.

You may choose to take credits from other departments in King's (up to 15 credits in the course of your degree), or from other philosophy departments in the University of London, subject to approval from the Director of Undergraduate Studies.

 

 


 

21 May 2019

 

 

 

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