Download PROGRAMME APPROVAL FORM SECTION 1 – THE PROGRAMME SPECIFICATION

Programme approval 2006/07
PROGRAMME APPROVAL FORM
SECTION 1 – THE PROGRAMME SPECIFICATION
1. Programme title and designation
Mathematics with Management and
Finance
Single honours
Joint
Major/minor
X
2. Final award
Award
Title
BSc
Mathematics with
Management and
Finance
3. Nested awards
Award
Title
N/A
N/A
4. Exit awards
Award
Title
Ordinary
Degree (BSc)
Mathematics with
Management and
Finance
Mathematics
Credit
Value
360
ECTS
equivalent
180
Credit
Value
N/A
ECTS
equivalent
N/A
Credit
Value
300
ECTS
equivalent
150
N/A
120
N/A
60
N/A
Undergraduate
240
Diploma
Undergraduate
Mathematics
120
Certificate
5. Level in the qualifications framework
Any special criteria
The normal lower limit for a
condoned failure (33% for
levels 4, 5, 6 and 40% for
level 7) does not apply to
compulsory and optional
Mathematics modules; there
is no lower limit to the mark
for a Mathematics module
which can be condoned. A
student must have attempted
an assessment before any
mark will be condoned and
can have the fail condoned
if, in the judgement of the
examiners, they have
satisfied the learning
outcomes of the programme
in respect of that module.
Any special criteria
N/A
Any special criteria
H
6. Attendance
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
1
Programme approval 2006/07
Full-time
Part-time
Mode of attendance
Full-time
No
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
13. Date of production of specification
14. Date of programme review
Distance
learning
No
King’s College London
King’s College London
Mathematics
Dr P Kassaei
Tel.: 0207 848 2107
E-mail: [email protected]
G1N2
Mathematics, Statistics and Operational
Research
Management (General)
December 2005, updated November 2006 for
College Credit Framework
2014/15 academic session
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 equip students with core concepts related to organisations, economics and marketing to
enable them to play a leading role in their professional career in organisations.
• 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 studies within the capabilities of the students admitted to the
Departments of Mathematics and Management 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
• To provide the mathematical background which will enable students to embark on
postgraduate programmes in Financial Mathematics, such as the King’s MSc in Financial
Mathematics.
17. Educational objectives of the programme/programme outcomes
The programme provides opportunities for students to develop and demonstrate knowledge
and understanding and skills in the following areas:
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
2
Programme approval 2006/07
1. Have an appreciation of the importance of mathematics and its applications and of the
excitement and satisfaction of discovery.
2. Have acquired a thorough training in the ability to think logically, to solve mathematical
problems and to present reasoned arguments clearly.
3. Have acquired the ability to work independently, pursuing meaningful independent study,
and the capacity to locate, retrieve, and analyse information from a variety of different
sources.
4. Possess an understanding of the depth of the main areas of modern mathematics at a level
comparable with that of corresponding degrees in major national mathematics departments
and at a standard comparable with three year undergraduate degree programmes in other
subjects.
5. An ability to use qualitative and quantitative skills in business related decision making and
problem solving.
6. Possess a firm mathematical foundation for embarking on postgraduate programmes in
Financial Mathematics, in particular the King’s MSc in Financial Mathematics.
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,
including the elements of Financial
Mathematics.
2. Aspects of, and interrelationships
between, organisations, their
management and the environment
within which they operate.
3. 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:
Usually solely by unseen written
examination in May (January in some
Management modules), but for some
modules also by coursework.
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.
4. Analyse, synthesise and critically
evaluate a range of business data and
theories.
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
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.
3
Programme approval 2006/07
Assessment:
Analysis and problem solving skills are
assessed through examination.
Practical skills:
1. ‘Maple’, a computer algebra package
and programming language.
2. Options are available for numerical
problem solving and the use of Excel
spreadsheets, and for developing
language skills.
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. Apply individual initiative and
enterprise.
5. Effective note taking.
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.
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 prerequisite for learning material presented
in lectures and for solving problems set.
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
and of the Benchmark for Business and Management (General).
19. Programme structure and award requirements (where relevant the information should
also differentiate the particular requirements of pathways within a programme or linked/exit
awards)
(a) numbers of compulsory and optional units to be taken in each year of the
programme
Year 1: 15 core, 105 compulsory
Year 2: 105 compulsory, 15optional
Year 3: 75 compulsory, 45 optional
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
4
Programme approval 2006/07
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
(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
In year 2 students must pass either Marketing or Accounting to progress to the third year.
(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. The normal lower limit for a
condoned failure (33% for levels 4, 5, 6 and 40% for level 7) does not apply to compulsory
and optional Mathematics modules; there is no lower limit to the mark for a Mathematics
module which can be condoned. A student must have attempted an assessment before any
mark will be condoned and can have the fail condoned if, in the judgement of the examiners,
they have satisfied the learning outcomes of the programme in respect of that module.
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) other relevant information to explain the programme structure
In year 2 students must take either Analysis I or Applied Analytic Methods
Students may be permitted to take modules from other Departments within King’s or
intercollegiate mathematics modules with academic approval.
Students may not obtain credit from courses 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 for mathematics modules.
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
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
(CM330X)
6CCM334a
(CM334Z)
6CCM335a
6CCM338a
(CM338Z)
6CCM350a
6CCM352a
6CCM356a
(CM356Y)
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
And
QCCMXXXb
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
And
7CCM330b
And
And
7CCM334b
7CCM335b
And
And
And
7CCM338b
7CCM350b
7CCM352b
And
And
And
And
And
6CCM357a
6CCM359a
7CCMMS31
7CCM451b
7CCMFM01
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
Numerical Methods
Quantum Mechanics II (CM436Z)
Neural Networks (CM451Z)
Applied Probability and Stochastics (CM467Z)
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
6
Programme approval 2010/11
Programme Structure
Title
Credit
level
Credit
value
Status (I, Cr, Cp, O) for
each type of programme
Major/
Single
Joint
minor
Cp
Assessment
Progression
Single
Joint
Major/
minor
N
4CCYM110 Economics
4
15
4CCYM129 Organisational Behaviour
4
15
Cp
N
4CCM111a Calculus I
4
15
Cp
N
Exam and coursework
Exam
4CCM112a Calculus II
4
15
Cp
N
Exam
4CCM121a Introduction to Abstract Algebra
4
15
Cp
N
Exam
4CCM113a Linear Methods
4
15
Cp
N
Exam
4CCM115a Numbers and Functions
4
15
Cp
N
4CCM141a Probability and Statistics I
5CCYM212 Marketing
4
15
Cp
N
Exam
Exam and Coursework
5
15
Cp/Cr ***
Y/N
Exam and coursework
5CCYM210 Accounting
5
15
Cp/Cr ***
Y/N
Exam and coursework
5CCM221aAnalysis I
5
15
Cp/O*
N
Exam
5CCM250a Applied Analytic Methods
5
15
Cp/O*
N
Exam
5CCM251a Discrete Mathematics
5
15
Cp
N
Exam
5CCM232a Groups and Symmetries
5
15
Cp
N
Exam
5CCM222a Linear Algebra
5
15
Cp
N
Exam and class tests
5CCM211a PDEs and Complex Variable
5
15
Cp
N
5CCM241a Probability and Statistics II
6CCYM325Business Strategy and Operations Management
5
15
Cp
N
Exam
Exam
6
15
Cp
N
Exam and coursework
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
Exam and coursework
7
Programme approval 2010/11
6CCYM339Human Resource Management
6
15
Cp
N
Exam and coursework
6CCM388a Mathematical Finance I: Discrete Time
6
15
Cp
N
Exam
6CCM338a Mathematical Finance II: Continuous Time
6
15
Cp
N
Exam
6CCM320A Topics in Mathematics
6
15
Cp
N
Exam
6CCM322a Complex Analysis
6
15
O
N
Exam
6CCM326a Galois Theory
6
15
O
N
Exam
6CCM223b Geometry of Surfaces
6
15
O
N
Exam
6CCM360a History and Dev of Mathematics
6
15
O
N
Exam and coursework
6CCMCS05 Mathematical Biology
6
15
O
N
Exam
6CCM314A Mathematical Theory of Collective Behaviour
6
15
O
6CCM330a Maths Education and Communication
6
15
O
N
Exam and coursework
6CCM359a Numerical Methods
6
15
O
N
Exam
6CCM345a The Project Option
6
15
O
N
coursework
6CCM321a Real Analysis II
6
15
O
N
Exam
6CCM351aRepresentation theory of finite groups
6
15
O
N
Exam
6CCM224b Elementary Number Theory
6
15
O
N
Exam
6CCMCS02 Theory of Complex Networks
Other level 5 and 6 modules and level 5 or 6 (or equivalent) modules
at other colleges of the University of London, or at Imperial College subject to the approval of the Third Year Programme Director.
Other optional modules may be taken where the timetable allows,
subject to the approval of the Programme Director
6
15
O
N
Exam
O
N
O
N
5, 6
5,6,7
15, 30
Exam
Various
* = In year 2 students must take either Analysis I or Applied Analytic Methods;
*** = In year 2 students must pass either Marketing or Accounting to progress to the third year.
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
8
Programme approval 2010/11
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 Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
9
Programme approval 2010/11
PROGRAMME APPROVAL FORM
SECTION 2 – SUPPLEMENTARY INFORMATION
Not all of the information in this section will be relevant for all programmes and for some
programmes this section will not be relevant at all
1. Programme name
BSc Mathematics with Management and Finance
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
Year abroad
Year in employment
Time spent …………………………..
Placement
Other (please
specify)
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
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 Mathematics modules at colleges of the
University of London outside King’s or at Imperial College but, subject to the approval of the
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
10
Programme approval 2010/11
relevant Programme Director, permission may be granted to students in their Final Year to
take modules at:
University College (University of London)
Queen Mary College (University of London)
Royal Holloway College (University of London)
London School of Economics (University of London)
Imperial College
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); 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 comparable
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 London colleges which are listed above have their own procedures for ensuring that a
high quality programme is delivered.
Please attach the report of the visit to the off-campus location - N/A
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?
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
11
Programme approval 2010/11
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.
Please attach the report of the visit to the off-campus location
Not applicable
PAF Originally Approved: 26th June 2007
PAF Amended for 2010-11 by ASQ: 5th May 2010
PAF modified by ASQ re: exit awards: 11th 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
12