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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