Download THE PROGRAMME SPECIFICATION 1. Programme title and designation Mathematics

Programme Approval 2006/07
THE PROGRAMME SPECIFICATION
1. Programme title and designation
Mathematics
Single honours
Joint
Major/minor
X
2. Final award
Award
Title
BSc
Mathematics
3. Nested awards
Award
Title
N/A
N/A
4. Exit awards
Award
Title
Ordinary
Degree (BSc)
Undergraduate
Diploma
Credit
Value
360
ECTS
equivalent
180
Any special criteria
Credit
Value
N/A
ECTS
equivalent
N/A
Any special criteria
Credit
Value
300
ECTS
equivalent
150
Any special criteria
120
N/A
60
N/A
Mathematics
Natural and
240
Mathematical
Sciences
Undergraduate
Natural and
120
Certificate
Mathematical
Sciences
5. Level in the qualifications framework
6. Attendance
X
Minimum length of programme
3 years
Maximum length of programme
10 years
7. Awarding institution/body
8. Teaching institution
9. Proposing department
10. Programme organiser and contact
Details
11. UCAS code (if appropriate)
12. Relevant QAA subject benchmark/
professional and statutory body guidelines
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
N/A
N/A
H
Full-time
Mode of attendance
N/A
Part-time
N/A
Distance
learning
N/A
King’s College London
King’s College London
Mathematics
First & Second Year – Dr Giuseppe Tinaglia
Tel.: 020 7848 2981
E-mail: [email protected]
Third Year – Dr Mahesh Kakde: Room 407a,
Strand Building
Tel.: 020 7848 2852
E-mail: [email protected]
G100
Mathematics, Statistics and Operational Research
1
Programme Approval 2006/07
13. Date of production of specification
14. Date of programme review
April 2005,
Updated in November 2007 for the CF
2014/15
16. Educational aims of the programme
 To teach the broadly accepted canon of university level undergraduate mathematics.
 To develop, through the study of mathematics, habits of independent rigorous thought and skill at
solving problems, and to enable students to experience the excitement and satisfaction of discovery
and solution.
 To train students to think logically and to present reasoned arguments clearly.
 To show the power of mathematics as an intellectual activity.
 To provide demanding courses within the capabilities of the students admitted to the Department;
to give them confidence through the acquisition of technical and transferable skills and so
encourage them to develop the ability to work and think for themselves.
 To provide an environment which offers students the opportunity to become active members of the
mathematics community.
 Ensure that students acquire an understanding of their professional and ethical responsibilities.
17. Educational objectives of the programme/programme outcomes
The student should acquire:
 An understanding of the depth of the main areas of modern mathematics at a level comparable
with that of major national mathematics departments and at a standard comparable with that of the
bachelor degree in other subjects.
 An appropriate level of understanding of the compulsory material in the programme.
 An appropriate level of skill in calculation and manipulation within this body of knowledge.
 Application of core concepts and principals at least in a well defined context.
 Appreciation of the importance of mathematics and its applications, and of the excitement and
satisfaction of discovery.
 A range of transferable skills including the ability to think logically, to solve problems and to
present reasoned arguments clearly, as well as some IT skills.
 The ability to work independently, pursuing meaningful independent study.
In the final year students are expected to consolidate the understanding of year 1 and 2 compulsory
material, demonstrating ability to use this in a variety of contexts, and a critical awareness of its range
of application and validity. Students are expected to increase their knowledge in some areas of either
abstract pure mathematics or application, or both.
Knowledge and understanding
The programme provides a knowledge and
understanding of the following:
1. The fundamental principles of a selection
of key areas of pure, applicable or applied
mathematics.
2. The professional and ethical
responsibilities of mathematicians.
These are achieved through the following
teaching/learning methods and
strategies:
The main teaching method is the lecture,
but there are also tutorials, problem classes
and an optional project.
Assessment:
th
PAF Originally Approved: 26 June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
2
Programme Approval 2006/07
Usually solely by unseen written
examination in May, but for some modules
also by course work.
Skills and other attributes
Intellectual skills:
1. To formulate mathematical models of
problems and solve them.
2. To reason logically, and to present
arguments clearly.
3. To 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 via lectures
and the work the students are required to
carry out in order to understand the
material and to solve the set problems. The
questions asked by students and answers
given by the lecturer during lectures also
play an important part.
Assessment:
Analysis and problem solving skills are
assessed through examination.
Practical skills:
1. Use of `Maple’, a computer algebra
package and programming language.
2. Verbal communication
These are achieved through the following
teaching/learning methods and
strategies:
supervised teaching sessions in computer
laboratories.
Assessment: First year students are
required to pass a test in the use of Maple.
Verbal communication is assessed by
student presentations of a mathematical
topic.
Generic/transferable skills:
1. Apply mathematical skills to problems
2. Manage time and plan work load.
3. Learn independently with a spirit of actual
enquiry.
4. Effective note taking.
These are achieved through the following
teaching/learning methods and
strategies:
These skills are essential by-products of
learning the material given in lectures and
solving the problems set.
Assessment: 1 is assessed by means of the
unseen May examinations in each module.
The other skills are not directly assessed
but are a necessary pre-requisite for
learning material presented in lectures and
for solving problems set.
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
3
Programme Approval 2006/07
18. Statement of how the programme has been informed by the relevant subject benchmark
statement(s)/professional and statutory body guidelines
The programme is consistent with the relevant heading (‘theory based as opposed to practice based
Mathematics) of the benchmark for Mathematics, Statistics and Operational Research.
19. Programme structure and award requirements
(a) numbers of compulsory and optional modules to be taken in each year of the programme
Year 1: 120 credit compulsory modules
Year 2: 6 x 15 credit compulsory modules, plus 30 optional credits
Year 3: 120 optional credits.
Students may be permitted to take additional modules up to a maximum value of 30 credits with academic
approval.
(b) range of credit levels permitted within the programme
4, 5, 6, exceptionally students may be permitted to take a level 7 module
(c) maximum number of credits permitted at the lowest level
150 at level 4 (where students have been permitted to take additional credits)
(d) minimum number of credits required at the highest level
90 at level 6 (or above)
(e) progression and award requirements (if different from the standard)
To progress from Year 1 to Year 2 a student must gain an average mark of at least 40% in level 4
mathematics modules, with no mark lower than 33% and 90 credits passed overall.
(f) maximum number of credits permitted with a condoned fail (core modules excluded)
45 credits at level 4, 5, 6 or 30 at level 4, 5, 6 plus 15 at level 7.
In all cases, the condoning of failed marks will be at the discretion of the programme examination board
and in accordance with the College regulations, excepting the above
(g) are students permitted to take a substitute module, as per regulation A3, 20.7?
no
(g) other relevant information to explain the programme structure

In year 3 students must include at least 2 modules from the list:
6CCM318A (CM481Z)
Fourier Analysis
6CCM321A (CM321A)
Real Analysis II
6CCM322A (CM322C)
Complex Analysis
6CCM326A (CM326Z)
Galois Theory
6CCM327A (CM327Z)
Topology
6CCM331A (CM331A)
Special Relativity and Electromagnetism
6CCM332A (CM332C)
Introductory Quantum Theory
6CCM338A (CM338Z)
Mathematical Finance II: Continuous Time
6CCM350A (CM350Z)
Rings and Modules
6CCM388A (CM388A)
Mathematical Finance I: Discrete Time

Students may be permitted to take modules from other Departments within King’s or intercollegiate
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
4
Programme Approval 2006/07



mathematics modules with academic approval.
Students who transfer between BSc and MSci Mathematics can do so until the end of year 2. Students
transferring from BSc to MSci in year three will normally have to conform to compulsory year three
modules.
Students may not obtain credit from modules based on largely overlapping content (See below for
details of modules).
Where mathematics modules contain summative coursework, the coursework will only be used in
calculating the overall mark at the first attempt. Resit students will be judged solely on their
examination performance in level 4, 5 and 6 mathematics modules.
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
5
Programme Approval 2006/07
Prohibited module combinations
In general
PCCMXXXa
In particular
4CCM115a
4CCM121a
4CCM122a
4CCM131a
4CCM131a
4CCM141a
5CCM211a
5CCM222a
5CCM223a
5CCM224a
5CCM232a
5CCM241a
5CCM251a
5CCM328b
6CCM320a
6CCM321a
6CCM322a
6CCM326a
6CCM327a
6CCM330a
6CCM334a
(CM334Z)
6CCM335a
6CCM338a
(CM338Z)
6CCM350a
6CCM352a
6CCM356a
7CCM359b
6CCM436a
6CCM451b
7CCM467a
Numbers and Functions (CM115A)
Introduction to Abstract Algebra (CM121A)
Geometry I (CM122A)
Introduction to Dynamical Systems (CM131A)
Introduction to Dynamical Systems (CM131A)
Probability and Statistics I (CM141A)
PDEs and Complex Variable (CM211A)
Linear Algebra (CM222A)
Geometry of Surfaces (CM223A)
Elementary Number Theory (CM224X)
Groups and Symmetries (CM232A)
Probability and Statistics II (CM241X)
Discrete Mathematics (CM251X)
Logic
Topics in Mathematics (CM320X)
Real Analysis II (CM321A)
Complex Analysis (CM322C)
Galois Theory (CM326Z)
Topology (CM327Z)
Maths Education and Communication (CM330X)
Space-time Geometry & General Relativity
Non-Linear Dynamics (CM335Z)
Mathematical Finance II: Continuous Time
Rings and Modules (CM350Z)
Chaotic Dynamics (CM352Y)
Linear Systems with Control Theory (CM356Y)
Numerical Methods
Quantum Mechanics II (CM436Z)
Neural Networks (CM451Z)
Applied Probability and Stochastics (CM467Z)
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
And
QCCMXXXb
And
And
And
And
And
And
And
And
And
And
And
And
And
And
And
And
And
And
And
And
5CCM115b
5CCM121b
5CCM122b
5CCM131b
6CCM357a
5CCM141b
6CCM211b
6CCM222b
6CCM223b
6CCM224b
6CCM232b
6CCM241b
6CCM251b
6CCM328a
7CCM320b
7CCM321b
7CCM322b
7CCM326b
7CCM327b
7CCM330b
And
And
7CCM334b
7CCM335b
And
And
And
And
And
And
And
And
7CCM338b
7CCM350b
7CCM352b
6CCM357a
6CCM359a
7CCMMS31
7CCM451b
7CCMFM01
6
Programme Approval 2006/07
Programme Structure
Title
4CCM111a Calculus I
4CCM112a Calculus II
4CCM122a Geometry I
4CCM121a Introduction to Abstract Algebra
4CCM131a Introduction to Dynamical Systems
4CCM113a Linear Methods
4CCM115a Numbers and Functions
4CCM141a Probability & Statistics I
5CCM221a Analysis I
5CCM251a Discrete Mathematics
5CCM224a Elementary Number Theory
5CCM223a Geometry of Surfaces
5CCM232a Groups & Symmetries
5CCM231a Intermediate Dynamics
5CCM222a Linear Algebra
5CCM211a Partial Differential Equations & Complex Variable
5CCM241a Probability & Statistics II
6CCM322a Complex Analysis
6CCM251b Discrete Mathematics
6CCM224b Elementary Number Theory
6CCM318A Fourier Analysis
6CCM326a Galois Theory
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
Credit
level
4
4
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
6
6
6
6
6
Credit
value
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
15
Status (I, Cr, Cp, O) for
each type of programme
Major/
Single Joint
minor
Cp
Cp
Cp
Cp
Cp
Cp
Cp
Cp
Cp
O
O
Cp
Cp
Cp
Cp
Cp
O
Cp/O*
O
O
Cp/O*
Cp/O*
Progression
Single
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
Joint
Assessment
Major/
minor
Examination
Examination
Examination & tests
Examination & tests
Examination & tests
Examination
Examination
Examination & tests
Examination
Examination
Examination
Examination
Examination
Examination
Examination & tests
Examination
Examination
Examination
Examination
Examination
Examination
Examination
7
Programme Approval 2006/07
6CCM360a History and Development of Mathematics
6CCM332a Introductory Quantum Theory
6CCM222b Linear Algebra
6CCMCS05 Mathematical Biology
6CCM388a Mathematical Finance I: Discrete Time
6CCM338a Mathematical Finance II: Continuous Time
6CCM314A Mathematical Theory of Collective Behaviour
6CCM330a Mathematics Education and Communication
6CCM241b Probability and Statistics II
6CCM345a The Project Option
6CCM321a Real Analysis II
6CCM351a Representation theory of finite groups
6CCM350a Rings and Modules
6CCM334a Space-time Geometry & General Relativity
6CCM331a Special Relativity and Electromagnetism
6CCMCS02 Theory of Complex Networks
6CCM320a Topics in Mathematics
6CCM327a Topology
Other optional modules may be taken where the timetable
allows, subject to the approval of the Programme Director
* In year 3 students must take at least 4 of the compulsory modules
6
6
6
6
6
6
6
15
15
15
15
15
15
15
O
Cp/O*
O
O
Cp/O*
Cp/O*
O
NO
NO
NO
NO
NO
NO
NO
6
6
6
6
6
6
6
6
6
6
6
15
15
15
15
15
15
15
15
15
15
15
O
O
O
Cp/O*
O
Cp/O*
O
Cp/O*
O
O
Cp/O*
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
Examination &
coursework
Examination
Examination
Examination
Examination
Examination
Examination
Report, assessment &
presentation
Examination
Project
Examination
Examination
Examination
Examination
Examination
Examination
Examination
Examination
O
NO
Various
5,6
20. Marking criteria
The marking scheme for this programme follows the College generic criteria and additionally those in the School of Natural and Mathematical Sciences
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
8
Programme Approval 2006/07
PROGRAMME APPROVAL FORM
SECTION 2 – SUPPLEMENTARY INFORMATION
1. Programme name
BSc Mathematics
2. If the programme is a joint award with an institution outwith the University of London has
the necessary approval been sought from Academic Board?
Yes
No
Not applicable
X
Please attach a copy of the request to Academic Board
3. In cases of joint honours programmes please provide a rationale for the particular subject
combination, either educational or academic
N/A
4. If the programme involves time outside the College longer than a term, please indicate how
the time will be spent, the length of time out and whether it is a compulsory or optional part of
the programme
N/A
Year abroad
Year in employment
Placement
Other (please
specify)
Time spent …………………………..
Compulsory/optional ……………………….
5. Please provide a rationale for any such time outside the College, other than that which is a
requirement of a professional or statutory body
N/A
6. Please give details if the programme requires validation or accreditation by a professional or
statutory body
N/A
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
9
Programme Approval 2006/07
7. In cases where parts or all of the programme (other than those in box 4 above) are delivered
either away from one of the College campuses and/or by a body or bodies external to the College
please provide the following details
Name and address of the off-campus location and/or external body
There is no requirement for students to take modules at colleges of the University of London outside
King’s, but subject to the approval of the relevant Programme Director permission may be granted to
students in their Final Year to take modules at:
Imperial College
University College (University of London)
Queen Mary College (University of London)
Royal Holloway College (University of London)
Percentage/amount of the programme delivered off-campus or by external body
The vast majority of students take all their modules at King’s. However, subject to the approval of
the relevant Programme Director permission may be granted to students in their Final Year to take
modules at other colleges of the University of London (as specified above) or at Imperial College; in
practice students exercising this option will take not normally more than 30 credits outside King’s.
Nature of the involvement of external body
All the colleges listed above are major colleges of London University or of equally high standing and
run their own Mathematics programmes.
Description of the learning resources available at the off-campus location
They offer the same high quality resources as are available at King’s.
What mechanisms will be put in place to ensure the ongoing monitoring of the delivery of the
programme, to include monitoring of learning resources off-site or by the external body?
All the colleges which are listed above have their own procedures for ensuring that a high quality
programme is delivered.
Additionally, for Undergraduate Ambassador Scheme 6CCM330a (CM330X):
Name and address of the off-campus location and/or external body
The Undergraduate Ambassador Scheme: London secondary schools
Percentage/amount of the programme delivered off-campus or by external body
Up to 2% (optional 3rd year 15 credit module)
Nature of the involvement of external body
Students spend a few hours per week in a Mathematics Department of a London secondary School,
supervised by the staff of that school, assisting in the teaching of Mathematics.
Description of the learning resources available at the off-campus location
Normal secondary school resources
What mechanisms will be put in place to ensure the ongoing monitoring of the delivery of the
programme, to include monitoring of learning resources off-site or by the external body?
All schools are visited by KCL Mathematics Department staff, and an individual teacher is
responsible for the student in the school. A member of KCL staff monitors the students while they are
in the Undergraduate Ambassador Scheme.
PAF Originally Approved: 26th June 2007
PAF Modified for 2010/11 by ASQ: 5th May 2010
PAF finalised for 2010/11: 18 October 2010
PAF modified by ASQ for 2011/12: 28th February 2011
PAF finalised for 2011/12: 5 September 2011
PAF modified re exit award title: 29 March 2012
PAF finalised for 2012/13: 20 September 2012
10