15.15 Department of Mathematics Mathematics BSc with Honours in Mathematics BSc with Honours in Mathematics and Statistics BSc in Mathematics Diploma of Higher Education in Mathematical Studies Certificate of Higher Education in Mathematical Studies Course Regulations [These regulations are to be read in conjunction with Regulation 15.1] 15.15.1 15.15.2 15.15.3 Status of the Courses All students are normally admitted in the first instance as potential Honours students in Mathematics. Transfer to the BSc with Honours in Mathematics and Statistics is possible from the end of third year, subject to satisfying the appropriate progress regulations. Transfer to the degree of MSci in Mathematics is possible at any time, subject to satisfying the appropriate progress regulations. Modes of Study The courses are available by full-time or part-time study. Curriculum (Full-time study) First Year All full-time students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 53 101 Introduction to Statistics MA 101 Mathematics 1A MA 102 Mathematics 2A MA 103 IT Skills and Mathematical Software MA 104 Introduction to Mechanics Level 1 1 1 1 1 Credits 10 20 20 10 10 1 10 1 1 10 10 Elective Classes No fewer than 20 credits Optional Classes No fewer than 10 credits chosen from: 53 104 A Beginner’s Guide to Modelling Science 53 105 Making IT Count: Data Presentation and Communication MA 105 Discrete Mathematics 15.15.4 Second Year All full-time students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes MA 200 Multi-variable Calculus MA 201 Linear Algebra MA 206 Differential Equations and if not taken in the first year MA 103 IT Skills and Mathematical Software and for students intending to proceed to Honours MA 202 Sequences and Series MA 207 Real Variable Analysis Level 2 2 2 Credits 10 10 10 1 10 2 2 10 10 For all courses Optional Classes No fewer than 50 credits chosen from: 53 201 Probability and Statistics ** 2 53 205 Statistical Graphics in Action 2 MA 202 Sequences and Series * 2 MA 203 Introduction to Numerical Analysis 2 MA 204 Newtonian Mechanics 2 MA 205 Algebraic Structures 2 MA 207 Real Variable Analysis* 2 MA 208 Vector Calculus 2 MA 209 Rigid Body Mechanics 2 * not available as an optional class for intending Honours students ** Students intending to proceed to the Honours degree in Mathematics and Statistics must include this. 20 10 10 10 10 10 10 10 10 Elective Classes Provided Elective Classes totalling at least 20 credits have been taken over the first and second years, a student may choose classes from the optional classes listed in Regulation 15.15.3 to bring the total credits to at least 120. 15.15.5 Third Year All full-time students shall undertake classes amounting to no fewer than 130 credits as follows: Compulsory Class Either MA 213 Personal Development Planning or ST 213 Personal Development Planning For students intending to gain a Bachelor degree Compulsory Classes MA 202 Sequences and Series MA 207 Real Variable Analysis if not taken in second year. For all courses Level Credits 2 10 2 10 2 2 10 10 Optional Classes No fewer than 60 credits for intending Bachelor degree students, or 120 credits for intending students for the degree with Honours, chosen from: 53 304 Stochastic Processes 1* 3 53 307 Estimation and Tests* 3 53 322 Survey Analysis* 3 53 323 Experimental Design and Analysis* 3 53 334 Regression Analysis* 3 MA 300 Complex Analysis 1 3 MA 301 Partial Differential Equations 1 3 MA 302 Vector Spaces 3 MA 303 Numerical Solution of Differential Equations 3 MA 304 Advanced Rigid Body Mechanics 3 MA 305 Abstract Algebra 3 MA 306 Fluid Mechanics 1 3 MA 307 Mathematical Analysis 1 3 MA 308 Numerical Linear Algebra 3 MA 309 Advanced Newtonian Mechanics 3 MA 310 Complex Analysis 2 3 MA 311 Partial Differential Equations 2 3 MA 312 Laplace Transforms and Linear Systems 3 MA 316 Fluid Mechanics 2 3 * Intending Honours degree in Mathematics and Statistics students must select no fewer than 40 credits of Level 3 Statistics classes and, by the end of the course, must have accumulated at least 120 credits in Statistics classes at Levels 3 and 4. 10 20 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 For students intending to gain a Bachelor degree Optional Classes No more than 40 credits, which may include Elective Classes or classes chosen from the Optional Classes listed in Regulations 15.15.3 and 15.15.4. 15.15.6 Fourth Year All full-time students shall undertake classes amounting to no fewer than 120 credits as follows: Mathematics Compulsory Class 11 405 Mathematics* Level 4 Credits 120 * 11 405 Mathematics comprises a Project (20 credits) and Level 4 classes amounting to 100 credits chosen from the lists below: Mathematics and Statistics Compulsory Class 53 488 Mathematics and Statistics** 4 120 * 53 488 Mathematics and Statistics comprises 53 410 Project (Statistics) and Statistics classes to give at least 120 credits in Statistics classes at Levels 3 and 4 together with Mathematics classes amounting to at least 40 credits chosen from the lists below: Mathematics MA 401 MA 402 MA 403 MA 404 MA 405 MA 406 MA 407 MA 408 MA 409 MA 410 MA 411 MA 412 MA 413 MA 414 MA 415 MA 416 Statistics 53 410 53 411 53 482 53 483 53 484 53 487 ST 406 15.15.7 15.15.8 15.15.9 Project (Mathematics) Hilbert Space Methods Numerical Solution of Initial Value PDEs Continuum Mechanics 1: Viscous Flow Coding Theory One-Dimensional Dynamical Systems Modern Methods for Differential Equations Mathematics of Financial Derivatives Calculus of Variations Numerical Approximation Mathematics in Medicine Applied Functional Analysis Numerical Solution of Boundary Value PDEs Continuum Mechanics 2: Elasticity Waves Higher-Dimensional Dynamical Systems 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 20 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 Project (Statistics) Quantitative Risk Analysis Time Series Data Analysis 1 Data Analysis 2 Statistical Practice in Industry, Commerce and Research Medical Statistics 4 4 4 4 4 20 10 10 10 10 4 4 10 10 Curriculum (Part-time study) In each academic year, a student studying on a part-time basis shall normally undertake a curriculum of no fewer than 60 credits chosen from the appropriate full-time curriculum. Progress (Full-time study) In order to progress to the second year of the Bachelor degree course, a student must normally have accumulated at least 90 credits from the course curriculum including those for the classes MA 101 Mathematics 1A and MA 102 Mathematics 2A, and one of the classes MA 104 Introduction to Mechanics, MA 103 IT Skills and Mathematical Software or 53 101 Introduction to Statistics. In order to progress to the second year of the Honours degree course, a student must have accumulated at least 90 credits from the course curriculum including those for the classes MA 101 Mathematics 1A and MA 102 Mathematics 2A, and two of the classes MA 104 Introduction to Mechanics, MA 103 IT Skills and Mathematical Software or 53 101 Introduction to Statistics. 15.15.10 In order to progress to the third year of the Bachelor degree course, a student must normally have accumulated at least 190 credits from the course curriculum including those for all the first year compulsory classes, MA 200 Multi-variable Calculus and MA 201 Linear Algebra, and at least one of (i) MA 104 Introduction to Mechanics and MA 204 Newtonian Mechanics; or (ii) MA 103 IT Skills and Mathematical Software and MA 203 Introduction to Numerical Analysis; or (iii) 53 201 Probability and Statistics. 15.15.11 In order to progress to the third year of the Honours degree course, a student must have accumulated at least 220 credits from the course curriculum of which no fewer than 110 credits are from the first and second year compulsory classes including those for the classes MA 200 Multi-variable Calculus and MA 201 Linear Algebra, AND at least one of (i) MA 104 Introduction to Mechanics and MA 204 Newtonian Mechanics; OR (ii) MA 103 IT Skills and Mathematical Software and MA 203 Introduction to Numerical Analysis; OR (iii) 53 201 Probability and Statistics. 15.15.12 In order to progress to the fourth year of the Honours degree course in Mathematics, a student must normally have accumulated at least 360 credits from the course curriculum. In addition, a student must have achieved an approved standard of performance with regard to level of study and academic attainment. 15.15.13 In order to progress to the fourth year of the Honours degree course in Mathematics and Statistics, a student must normally have accumulated at least 360 credits from the course curriculum, including those for the class 53 201 Probability and Statistics and no fewer than 40 credits from the Level 3 Statistics classes. In addition, a student must have achieved an approved standard of performance with regard to level of study and academic attainment. 15.15.14 15.15.15 15.15.16 Progress (Part-time study) In order to progress to the next full-time equivalent year of the course, a part-time student must normally satisfy the appropriate progress requirements for full-time study. In any one academic year, a part-time student shall not normally carry more than 25 outstanding credits from one academic year to the next. Final Honours Classification On successful completion of the fourth year, a candidate will be awarded 120 Level 4 credits under the class code 11 405 or 53 488 15.15.17 15.15.18 15.15.19 15.15.20 15.15.21 15.15.22 15.15.23 The final Honours classification will normally be based on: (i) the first assessed attempt at compulsory and optional classes taken in the third and fourth years; (ii) if appropriate, an oral examination. Award BSc with Honours: In order to qualify for the award of the degree of BSc with Honours in Mathematics, a candidate must have accumulated no fewer than 480 credits from the course curriculum. These must include no fewer than 240 credits at Levels 3 and 4 or above, of which a minimum of 90 must be at Level 4. In order to qualify for the award of the degree of BSc with Honours in Mathematics and Statistics, a candidate must have accumulated no fewer than 480 credits from the course curriculum. These must include no fewer than 240 credits at Levels 3 and 4 or above, of which a minimum of 120 must be in Statistics classes. BSc: In order to qualify for the award of the degree of BSc in Mathematics, a candidate must have accumulated no fewer than 360 credits from the course curriculum. These must include no fewer than 160 credits from second and third year compulsory and optional classes of which a minimum of 60 must be at Level 3 or above. Diploma of Higher Education: In order to qualify for the award of a Diploma of Higher Education in Mathematical Studies, a candidate must have accumulated no fewer than 240 credits from the course curriculum. These must include no fewer than 90 credits at Level 2 or above. Certificate of Higher Education: In order to qualify for the award of a Certificate of Higher Education in Mathematical Studies, a candidate must have accumulated no fewer than 120 credits from the course curriculum. A candidate who meets the criteria in Regulation 15.1.42 may be awarded the degree of BSc in Mathematics or the Diploma of Higher Education or the Certificate of Higher Education in Mathematical Studies ‘with Commendation’. 15.15.24 to 15.15.30 (Numbers not used) Mathematics and Computer Science BSc with Honours in Mathematics and Computer Science BSc in Mathematics and Computer Science Diploma of Higher Education in Mathematics and Computer Science Certificate of Higher Education in Mathematics and Computer Science Course Regulations [These regulations are to be read in conjunction with Regulation 15.1] 15.15.31 15.15.32 15.15.33 Modes of Study The courses are available by full-time study only. Status of the Courses All students are normally admitted in the first instance as potential Honours students Curriculum First Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 52 132 Applications and Implications of Computers 52 138 Computer Systems 52 141 Programming Foundations MA 101 Mathematics 1A MA 102 Mathematics 2A MA 105 Discrete Mathematics Level 1 1 1 1 1 1 Credits 10 10 20 20 20 10 Elective Classes Optional Classes No fewer than 10 credits chosen from: 52 139 Computer Organisation 53 101 Introduction to Statistics 53 105 Making IT Count: Data Presentation and Communication MA 103 IT Skills and Mathematical Software 15.15.34 20 2 1 10 10 1 1 10 10 Second Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 52 222 Programming Project 52 231 Programming Techniques CS 201 Databases CS 204 Systems Analysis CS 205 Systems Design MA 200 Multi-variable Calculus MA 201 Linear Algebra MA 202 Sequences and Series Level 2 2 2 2 2 2 2 2 Credits 10 10 10 10 10 10 10 10 Optional Classes No fewer than 40 credits of which at least 20 must be chosen from Level 2 classes in List A: List A 53 101 Introduction to Statistics 1 10 53 105 15.15.35 53 201 53 205 MA 103 MA 203 MA 205 MA 206 MA 207 Making IT Count: Data Presentation and Communication Probability and Statistics Statistical Graphics in Action IT Skills and Mathematical Software Introduction to Numerical Analysis Algebraic Structures Differential Equations Real Variable Analysis 1 2 2 1 2 2 2 2 10 20 10 10 10 10 10 10 List B 52 139 52 223 52 236 CS 202 CS 206 Computer Organisation Low Level Programming Algorithms and Complexity Logic and Machines Human Computer Interaction 2 2 2 2 2 10 10 10 10 10 Third Year All students shall undertake classes amounting to no fewer than 130 credits as follows: Compulsory Classes (All courses) 52 354 Communications CS 302 Professional Issues CS 307 Web Applications Engineering either MA 213 Personal Development Planning or ST 213 Personal Development Planning and for students intending to gain a Bachelor degree 52 362 Individual Project in Computer Science Level 3 3 3 Credits 15 15 15 2 10 2 10 3 15 For all courses Optional Classes (All courses) No fewer than 40 credits for intending Bachelor degree students, or 80 credits for intending students for the degree with Honours. For all students, at least 40 must be chosen from List A: List A MA 300 MA 301 MA 302 MA 303 MA 305 MA 307 MA 308 MA 310 MA 311 MA 312 Complex Analysis 1 Partial Differential Equations 1 Vector Spaces Numerical Solution of Differential Equations Abstract Algebra Mathematical Analysis 1 Numerical Linear Algebra Complex Analysis 2 Partial Differential Equations 2 Laplace Transforms and Linear Systems 3 3 3 3 3 3 3 3 3 3 10 10 10 10 10 10 10 10 10 10 List B 52 359 CS 303 CS 304 CS 305 CS 306 Graphics Programming Language Definition and Implementation Operating Systems and Systems Software Computer Architecture Foundations of Artificial Intelligence 3 15 3 3 3 3 15 15 15 15 For students intending to gain a Bachelor degree Elective Classes and/or Optional Classes listed in Regulation 15.15.34 not exceeding 25 credits. 15.15.36 Fourth Year All Honours students shall take classes amounting to no fewer than 120 credits as follows: Compulsory Class 11 406 Mathematics and Computer Science* Level 4 Credits 120 * 11 406 Mathematics and Computer Science comprises a project in either Mathematics or Computer Science and Level 4 classes chosen from the lists of classes in Regulations 15.13.26 and 15.15.6. The curriculum must include at least 45 credits of classes from each regulation. 15.15.37 15.15.38 15.15.39 15.15.40 15.15.41 15.15.42 15.15.43 15.15.44 15.15.45 Progress In order to progress to the second year of the course, a student must normally have accumulated at least 90 credits from the course curriculum including those for the classes MA 105 Discrete Mathematics, 52 138 Computer Systems, 52 141 Programming Foundations, and either MA 101 Mathematics 1A or MA 102 Mathematics 2A. In order to progress to the third year of the Bachelor degree course, a student must normally have accumulated at least 190 credits from the course curriculum including those for the classes MA 105 Discrete Mathematics, MA 101 Mathematics 1A, MA 102 Mathematics 2A, MA 200 Multi-variable Calculus, MA 201 Linear Algebra, 52 138 Computer Systems, 52 141 Programming Foundations, 52 222 Programming Project, CS 204 Systems Analysis and CS 205 Systems Design. In order to progress to the third year of the Honours degree course, a student must have accumulated at least 220 credits from the course curriculum, including those for all the first and second year compulsory classes. In order to progress to the fourth year of the course, a student must normally have accumulated at least 360 credits from the course curriculum. In addition, a student must have achieved an approved standard of performance with regard to level of study and academic attainment. Final Honours Classification On successful completion of the fourth year, a candidate will be awarded 120 Level 4 credits under the class code 11 406. The final Honours classification will normally be based on: (i) the first assessed attempt at compulsory and optional classes taken in the third and fourth years; (ii) if appropriate, an oral examination. Award BSc with Honours: In order to qualify for the award of the degree of BSc with Honours in Mathematics and Computer Science, a candidate must have accumulated no fewer than 480 credits from the course curriculum. These must include no fewer than 240 credits at Level 3 and 4 of which a minimum of 90 must be at Level 4. BSc: In order to qualify for the award of the degree of BSc in Mathematics and Computer Science, a candidate must have accumulated no fewer than 360 credits from the course curriculum. These must include no fewer than 160 credits from second and third year classes of which a minimum of 60 must be at Level 3 or above and must include those for the class 52 362 Individual Project. In the case of an Honours student transferring during the year to the Bachelor degree, a pass in 52 222 Programming Project and an additional Level 3 Computer Science class will exceptionally be accepted in lieu of a pass in 52 362 Individual Project. Diploma of Higher Education: In order to qualify for the award of a Diploma of Higher Education in Mathematics and Computer Science, a 15.15.46 15.15.47 candidate must have accumulated no fewer than 240 credits from the course curriculum. These must include no fewer than 90 credits at Level 2 or above. Certificate of Higher Education: In order to qualify for the award of a Certificate of Higher Education in Mathematics and Computer Science, a candidate must have accumulated no fewer than 120 credits from the course curriculum. A candidate who meets the criteria in Regulation 15.1.42 may be awarded the degree of BSc or the Diploma of Higher Education or the Certificate of Higher Education in Mathematics and Computer Science, ‘with Commendation’. 15.15.48 to 15.15.50 (Numbers not used) Mathematics and Physics BSc with Honours in Mathematics and Physics BSc in Mathematics and Physics Diploma of Higher Education in Mathematics and Physics Certificate of Higher Education in Mathematics and Physics Course Regulations [These regulations are to be read in conjunction with Regulation 15.1] 15.15.51 15.15.52 15.15.53 15.15.54 Mode of Study The courses are available by full-time or part-time study. Status of the Courses All students are normally admitted in the first instance as potential Honours students. Curriculum (Full-time study) During the first two years of study, students must take optional Mathematics classes amounting to at least 30 credits, optional Physics classes amounting to at least 10 credits, and elective classes amounting to at least 20 credits. First Year All full-time students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 12 128 Modern Physics 12 156 Classical Physics MA 101 Mathematics 1A MA 102 Mathematics 2A PH 101 Instrumentation Optional Classes Level 1 1 1 1 1 Credits 20 20 20 20 20 No fewer than 20 credits chosen from: Mathematics 53 101 MA 103 MA 105 Physics 12 133 15.15.55 Introduction to Statistics IT Skills and Mathematical Software Discrete Mathematics 1 1 1 10 10 10 General Physics 1 1 10 Second Year All full-time students shall undertake classes amounting to at least 120 credits, including no fewer than 90 credits of Level 2 classes, as follows: Compulsory Classes (All courses) 12 222 Waves and Optics 12 224 Vectors and Electromagnetism 12 229 Quantum Physics 12 230 Dynamics and Relativity MA 200 Multi-variable Calculus MA 201 Linear Algebra MA 206 Differential Equations MA 208 Vector Calculus Level 2 2 2 2 2 2 2 2 Credits 10 10 10 10 10 10 10 10 Elective Classes 20 Optional Classes No fewer than 20 credits chosen from classes listed in Regulations 15.15.54, 15.15.4 (Mathematics)* and 15.17.5 (Physics) to satisfy Regulation 15.15.53. (*except MA 204 Newtonian Mechanics) 15.15.56 Third Year All full-time students shall undertake classes amounting to no fewer than 130 credits as follows: Intending Honours degree students shall take the compulsory class 12 320 Thermal and Statistical Physics, classes amounting to at least 40 credits chosen from List A and at least 30 credits chosen from List B, together with other classes chosen from Lists A, B and C. Intending Bachelor degree students shall take classes amounting to at least 40 credits chosen from List A and at least 40 credits from Lists B or C, together with other classes chosen from Lists A, B and C or further Elective Classes or optional classes chosen from the classes listed in Regulations 15.15.54 and 15.15.55. Compulsory Class (All courses) Either MA 213 Personal Development Planning Level Credits 2 10 or ST 213 15.15.57 Personal Development Planning 2 10 Compulsory Class (Honours degree students) 12 320 Thermal and Statistical Physics 3 10 List A MA 300 MA 301 MA 302 MA 303 MA 304 MA 305 MA 306 MA 307 MA 308 MA 309 MA 310 MA 311 MA 312 MA 316 Complex Analysis 1 Partial Differential Equations 1 Vector Spaces Numerical Solution of Differential Equations Advanced Rigid Body Mechanics Abstract Algebra Fluid Mechanics 1 Mathematical Analysis 1 Numerical Linear Algebra Advanced Newtonian Mechanics Complex Analysis 2 Partial Differential Equations 2 Laplace Transforms and Linear Systems Fluid Mechanics 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 10 10 10 10 10 10 10 10 10 10 10 10 10 10 List B 12 321 12 322 12 328 12 376 Quantum Physics Solid State Physics Electromagnetic Theory Nonlinear Physics 3 3 3 3 10 10 10 10 List C 12 320 12 332 12 336 12 338 PH 301 Thermal and Statistical Physics Instrumentation Experimental Physics Project Training Computational and Visualisation Physics 2 3 3 3 3 3 10 20 30 10 10 Fourth Year All Honours students shall take classes amounting to no fewer than 120 credits as follows: Compulsory Class 11 407 Mathematics and Physics* Level 4 Credits 120 * 11 407 Mathematics and Physics comprises a project in either Mathematics or Physics and Level 4 classes chosen from Regulations 15.15.6 and 15.17.8. The curriculum must include at least 50 credits of classes from each regulation. Curriculum (Part-time study) 15.15.58 15.15.59 15.15.60 15.15.61 15.15.62 15.15.63 15.15.64 15.15.65 15.15.66 15.15.67 15.15.68 In each academic year, students studying on a part-time basis shall normally undertake a curriculum of at least 60 credits chosen from the appropriate full-time curriculum. Progress (Full-time study) In order to progress to the second year of the course, a student must normally have accumulated at least 90 credits from the course curriculum, including those for the classes MA 101 Mathematics 1A and MA 102 Mathematics 2A, and no fewer than 40 credits in Physics classes. In order to progress to the third year of the Bachelor degree course, a student must normally have accumulated at least 190 credits from the course curriculum. In order to progress to the third year of the Honours degree course, a student must have accumulated at least 220 credits from the course curriculum. In order to progress to the fourth year of the course, a student must normally have accumulated at least 360 credits from the course curriculum In addition a student must normally have achieved an approved standard of performance with regard to level of study and academic attainment. Progress (Part-time study) In order to progress to the next full-time equivalent year of the course, a part-time student must normally satisfy the appropriate progress requirements for full-time study. In any one academic year, a part-time student shall not normally carry more than 25 outstanding credits from one academic year to the next. Final Honours Classification On successful completion of the fourth year, a candidate will be awarded 120 Level 4 credits under the class code 11 407. The final Honours classification will normally be based on: (i) the first assessed attempt at compulsory and optional classes taken in the third and fourth years; (ii) if appropriate, an oral examination. Award BSc with Honours: In order to qualify for the award of the degree of BSc with Honours in Mathematics and Physics, a candidate must have accumulated no fewer than 480 credits from the course curriculum. These must include no fewer than 180 credits at Level 3 and 4 or above of which a minimum of 90 must be at Level 4 and must include those for all the third and fourth year compulsory and optional Mathematics and Physics classes. BSc: In order to qualify for the award of the degree of BSc in Mathematics and Physics, a candidate must have accumulated no fewer than 360 credits from the course curriculum. These must include no fewer than 160 credits from second and third year compulsory and 15.15.69 15.15.70 15.15.71 optional Mathematics and Physics classes of which a minimum of 60 must be at Level 3 or above. Diploma of Higher Education: In order to qualify for the award of a Diploma of Higher Education in Mathematics and Physics, a candidate must have accumulated no fewer than 240 credits from the course curriculum. These must include no fewer than 90 credits at Level 2 or above. Certificate of Higher Education: In order to qualify for the award of a Certificate of Higher Education in Mathematics and Physics, a candidate must have accumulated no fewer than 120 credits from the course curriculum. A candidate who meets the criteria in Regulation 15.1.42 may be awarded the degree of BSc or the Diploma of Higher Education or the Certificate of Higher Education in Mathematics and Physics, ‘with Commendation’. 15.15.72 to 15.15.80 (Numbers not used) Mathematics, Statistics and (a Business Subject) BSc with Honours in Mathematics, Statistics and (a Business Subject) BSc in Mathematics, Statistics and (a Business Subject) Diploma of Higher Education in Mathematics, Statistics and (a Business Subject) Certificate of Higher Education in Mathematics, Statistics and (a Business Subject) Course Regulations [These regulations are to be read in conjunction with Regulation 15.1] 15.15.81 15.15.82 15.15.83 Status of the Courses All students are normally admitted in the first instance as potential Honours students. The Business Subject may be Accounting, Economics, Finance or Management Science. Mode of Study The courses are available by full-time study. Part-time study is also possible for Mathematics, Statistics and Economics. Curriculum (Full-time study) First Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 53 101 Introduction to Statistics 53 105 Making IT Count: Data Presentation and Communication MA 101 Mathematics 1A MA 102 Mathematics 2A Level 1 Credits 10 1 1 1 10 20 20 together with classes appropriate to the chosen Business specialisation: Accounting AG 101 Accounting Fundamentals 1 25 Economics EC 100 Economics 1 1 25 Finance AG 102 EC 100 Finance Fundamentals Economics 1 1 1 25 25 1 25 Management Science MS 105 Introduction to Management Science 1 Elective Classes 20 Optional Classes (for Accounting, Economics or Management Science) No fewer than 20 credits chosen from: 53 104 A Beginner’s Guide to Modelling Science 1 10 MA 103 IT Skills and Mathematical Software 1 10 or other approved Level 1 classes offered by the Strathclyde Business School. 15.15.84 Second Year All full-time students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 53 201 Probability and Statistics MA 200 Multi-variable Calculus MA 201 Linear Algebra Level 2 2 2 Credits 20 10 10 together with classes appropriate to the chosen Business specialisation: Accounting AG 200 AG 201 AG 202 AG 203 Regulation of Accounting Disclosure Cost Accounting Business Finance (Accounting) Value Theories 2 2 2 2 15 15 15 15 Economics EC 207 EC 208 Microeconomics 2 Macroeconomics 2 2 2 20 20 Finance AG 204 AG 206 Portfolio Theory Business Finance 2 2 15 15 2 2 15 15 Management Science 48 205 Management Science 2 48 207 Modelling Operations using Simulation Optional Classes Accounting No fewer than 20 credits chosen from List A. Economics No fewer than 40 credits chosen from Lists A and B of which at least 30 credits must be chosen from List A. Finance, or Management Science No fewer than 50 credits chosen from Lists A and B of which at least 20 credits must be chosen from List A. List A 53 104 53 205 MA 103 MA 105 MA 202 MA 203 MA 205 MA 206 MA 207 A Beginner's Guide to Modelling Science Statistical Graphics in Action IT Skills and Mathematical Software Discrete Mathematics Sequences and Series Introduction to Numerical Analysis Algebraic Structures Differential Equations Real Variable Analysis* 1 2 1 1 2 2 2 2 2 10 10 10 10 10 10 10 10 10 Financial Analysis * 2 Information Systems in the Knowledge Economy * 2 AG 205 Financial Modelling * 2 EC 205 Industrial Economics 2 EC 206 Economic Thought and Method 2 Such other classes as may be approved by the Course Director * has prerequisite class(es) in first year. 15 List B 40 234 48 206 15.15.85 15 15 10 10 Third Year All full-time students shall undertake classes amounting to no fewer than 130 credits as follows: Compulsory Classes Either MA 213 Personal Development Planning or ST 213 Personal Development Planning Level Credits 2 10 2 10 Management Decision-Making and Control Advanced Financial Accounting 3 3 15 15 Estimation and Tests Regression Analysis Introductory Econometrics 3 3 3 20 10 10 Microeconomics 3 3 20 Macroeconomics 3 3 20 Topics in Corporate Finance 3 15 together with classes appropriate to the chosen Business specialisation: Accounting AG 300 AG 301 Economics 53 307 53 334 EC 306 and either EC 307 or EC 308 Finance 40 335 AG 302 Security Analysis Management Science 48 312 Management Science 3 48 313 Optimum Resource Management 3 15 3 3 15 15 Optional Classes (for intending Honours students) Accounting, Finance, or Management Science No fewer than 90 credits chosen from the following lists of classes including at least 20 from each of Lists A and B, and no more than 30 from List C (in the relevant Business subject). Economics No fewer than 60 credits chosen from the following lists of classes including at least 20 from Lists A, at least 10 from List B, and no more than 30 from List C (Economics). List A MA 300 MA 301 MA 302 MA 303 MA 305 MA 307 MA 308 MA 310 MA 311 MA 312 Complex Analysis 1 Partial Differential Equations 1 Vector Spaces Numerical Solution of Differential Equations Abstract Algebra Mathematical Analysis 1 Numerical Linear Algebra Complex Analysis 2 Partial Differential Equations 2 Laplace Transforms and Linear Systems 3 3 3 3 3 3 3 3 3 3 10 10 10 10 10 10 10 10 10 10 List B 53 304 53 307 53 322 53 323 53 334 Stochastic Processes 1 Estimation and Tests Survey Analysis Experimental Design and Analysis Regression Analysis 3 3 3 3 3 10 20 10 10 10 List C Accounting 40 234 40 311 40 318 40 320 40 335 Financial Analysis Taxation Accounting Systems Auditing Topics in Corporate Finance 2 3 3 3 3 15 15 15 15 15 3 3 3 20 20 10 3 3 3 15 15 15 Economics EC 307 Microeconomics 3 EC 308 Macroeconomics 3 EC 309 International Trade or other approved classes in Economics Finance 40 334 40 361 AG 303 Financial Markets Treasury Management Empirical Methods in Finance Management Science 48 311 Modelling and Managing Uncertainty in Operations 3 MS 301 Information Systems Support for Managers 3 Such other classes as may be approved by the Course Director. 15 15 Optional Classes (for intending Bachelor degree students) Accounting, Finance, or Management Science No fewer than 70 credits chosen from the above lists of classes including at least 20 from each of Lists A and B, and no more than 30 from List C (in the relevant Business subject). A student may choose Elective Classes to bring the total credits to at least 130. Economics No fewer than 60 credits chosen from the above lists of classes including at least 20 from Lists A, at least 10 from List B, and no more than 30 from List C (Economics). 15.15.86 Fourth Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes either MA 401 Project (Mathematics) or 53 410 Project (Statistics) or 40 480 Project (Accounting – BSc) or 31 490 Project (Economics – BSc) or 40 490 Project (Finance – BSc) or 48 490 Project (Management Science – BSc) Level Credits 4 20 4 20 4 20 4 20 4 20 4 20 together with classes appropriate to the chosen Business specialisation: Accounting 11 461 Mathematics, Statistics and Accounting* 4 100 * 11 461 Mathematics, Statistics and Accounting comprises classes chosen from Regulations 15.15.6 and 15.80.44. At least 20 credits must be chosen in Accounting, and at least 10 in each of Mathematics and Statistics. Economics 11 410 Mathematics, Statistics and Economics* 4 100 * 11 410 Mathematics, Statistics and Economics comprises classes chosen from Regulations 15.15.6 and 15.80.75. These must include the classes 31468 Econometric Theory and EC408 Topics in Applied Econometrics, and at least 10 credits chosen in each of Mathematics and Statistics. Finance 11 463 Mathematics, Statistics and Finance* 4 100 * 11 463 Mathematics, Statistics and Finance comprises classes chosen from Regulations 15.15.6 and 15.80.85. At least 20 credits must be chosen in Finance, and at least 10 in each of Mathematics and Statistics. 11 917 Mathematics, Statistics and Management Science*4 100 * 11 917 Mathematics, Statistics and Management Science comprises classes chosen from Regulations 15.15.6 and 15.80.114. At least 20 credits must be chosen in Management Science, and at least 10 in each of Mathematics and Statistics. 15.15.87 15.15.88 15.15.89 15.15.90 15.15.91 15.15.92 15.15.93 Curriculum (Part-time study) In each academic year, students studying on a part-time basis shall normally undertake a curriculum of no fewer than 60 credits chosen from the appropriate full-time curriculum. Progress (Full-time study) In order to progress to the second year of the course, a student must normally have accumulated at least 90 credits from the relevant course curriculum including those for the classes MA 101 Mathematics 1A, MA 102 Mathematics 2A, 53 101 Introduction to Statistics and the appropriate compulsory Business subject. In order to progress to the third year of the Bachelor degree, a student must normally have accumulated at least 190 credits from the relevant course curriculum including at least 50 credits from the appropriate second year compulsory classes. In order to progress to the third year of the Honours degree, a student must normally have accumulated at least 220 credits from the relevant course curriculum including those for all the appropriate second year compulsory classes. In order to progress to the fourth year of the course, a student must normally have accumulated at least 360 credits from the relevant course curriculum. In addition, a student must have achieved an approved standard of performance with regard to level of study and academic attainment. Progress (Part-time study) Students studying on a part-time basis must normally satisfy the appropriate progress requirements for full-time study on completion of each equivalent year of full-time study. Within each year of study, a student shall not normally carry more than 40 outstanding credits from one academic year to the next. Final Honours Classification 15.15.94 15.15.95 On successful completion of the fourth year, a candidate will be awarded 120 Level 4 credits under the class code ST 402 or ST 403 or ST 404 or ST 405. The final Honours classification will normally be based on: (i) the first assessed attempt at compulsory and specified optional classes taken in the third and fourth years; (ii) if appropriate, an oral examination. 15.16 Award BSc with Honours: In order to qualify for the award of the degree of BSc with Honours in Mathematics, Statistics and the appropriate Business Subject, a candidate must have accumulated no fewer than 480 credits from the relevant course curriculum. These must include no fewer than 240 credits at Levels 3 and 4 or above of which a minimum of 90 must be at Level 4 and must include those for all compulsory classes taken in the appropriate Business Subject. BSc: In order to qualify for the award of the degree of BSc in Mathematics, Statistics and the appropriate Business Subject, a candidate must have accumulated no fewer than 360 credits from the relevant course curriculum. These must include no fewer than 160 credits from the second and third year compulsory and optional classes of which a minimum of 60 credits must be at Level 3 or above, and must include those for all the compulsory classes taken in the appropriate Business Subject. Diploma of Higher Education: In order to qualify for the award of a Diploma of Higher Education in Mathematics, Statistics and the appropriate Business Subject, a candidate must have accumulated no fewer than 240 credits from the relevant course curriculum. These must include no fewer than 90 credits at Level 2 or above and those for all the compulsory first and second year classes in the appropriate Business Subject. Certificate of Higher Education: In order to qualify for the award of a Certificate of Higher Education in Mathematics, Statistics and the appropriate Business Subject, a candidate must have accumulated no fewer than 120 credits from the relevant course curriculum including all the first year classes in the appropriate Business subject. A candidate who meets the criteria in Regulation 15.1.42 may be awarded the degree of BSc or the Diploma of Higher Education or the Certificate of Higher Education in Mathematics, Statistics and the appropriate Business Subject ‘with Commendation’. (Number not used) 16.15 Department of Mathematics 15.15.96 15.15.97 15.15.98 15.15.99 15.15.100 Mathematics MMath in Mathematics Course Regulations [These regulations are to be read in conjunction with Regulation 16.1] 16.15.1 16.15.2 Status of Course The course is at Integrated Masters level. Transfer to the BSc with Honours in Mathematics is possible at any time subject to satisfying the appropriate progress regulations. Mode of Study The course is available by full-time study only. 16.15.3 16.15.4 Place of Study The fifth year project may be undertaken as part of an industrial placement. Curriculum First Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes 53 101 Introduction to Statistics MA 101 Mathematics 1A MA 102 Mathematics 2A MA 103 IT Skills and Mathematical Software MA 104 Introduction to Mechanics Level 1 1 1 1 1 Credits 10 20 20 10 10 1 10 1 1 10 10 Elective Classes No fewer than 20 credits Optional Classes No fewer than 10 credits chosen from 53 104 A Beginner’s Guide to Modelling Science 53 105 Making IT Count: Data Presentation and Communication MA 105 Discrete Mathematics 16.15.5 Second Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Classes MA 200 Multi-variable Calculus MA 201 Linear Algebra MA 202 Sequences and Series MA 206 Differential Equations MA 207 Real Variable Analysis and MA 103 IT Skills and Mathematical Software which is a compulsory extra class if not taken previously. Optional Classes No fewer than 50 credits chosen from 53 201 Probability and Statistics 53 205 Graphical Statistics in Action MA 203 Introduction to Numerical Analysis MA 204 Newtonian Mechanics MA 205 Algebraic Structures MA 208 Vector Calculus MA 209 Rigid Body Mechanics Level 2 2 2 2 2 Credits 10 10 10 10 10 1 10 2 2 2 2 2 2 2 20 10 10 10 10 10 10 Elective Classes Provided Elective Classes totalling at least 20 credits have been taken over the first and second years, a student may choose classes from the Optional Classes listed in Regulation 16.15.4 to bring the total credits to at least 120. 16.15.6 Third Year All students shall undertake classes amounting to no fewer than 130 credits chosen from: Compulsory Class Either MA 213 Personal Development Planning or ST 213 Personal Development Planning Optional Classes 53 304 Stochastic Processes 1 53 307 Estimation and Tests 53 322 Survey Analysis 53 323 Experimental Design and Analysis 53 334 Regression Analysis MA 300 Complex Analysis 1 MA 301 Partial Differential Equations 1 MA 302 Vector Spaces MA 303 Numerical Solution of Differential Equations MA 304 Advanced Rigid Body Mechanics MA 305 Abstract Algebra MA 306 Fluid Mechanics 1 MA 307 Mathematical Analysis 1 MA 308 Numerical Linear Algebra MA 309 Advanced Newtonian Mechanics MA 310 Complex Analysis 2 MA 311 Partial Differential Equations 2 MA 312 Laplace Transforms and Linear Systems MA 316 Fluid Mechanics 2 16.15.7 Level Credits 2 10 2 10 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 10 20 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 Fourth Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Class 11 405 Mathematics* Level 4 Credits 120 * 11 405 Mathematics comprises a project (20 credits) and Level 4 classes amounting to 100 credits chosen from the list in Regulation 15.15.6] 16.15.8 Fifth Year All students shall undertake classes amounting to no fewer than 120 credits as follows: Compulsory Class MA 500 Mathematics Level 5 Credits 120 * MA 500 Mathematics comprises a project* (MA540 or MA541) and Level 5 classes chosen from: MA 506 Advanced Fluid Mechanics 5 15 MA 509 Semigroups of Operators 5 15 MA 511 Mathematical Modelling 5 15 MA 514 Computational Fluid Dynamics 5 15 MA 517 Fractals 5 15 MA 518 Heat and Mass Transfer 5 15 MA 519 Soft Matter Modelling 5 15 MA 520 Advanced Topics in Numerical Analysis 5 15 MA 521 Asymptotic Methods 5 15 MA 522 Hilbert Space Methods^ 5 15 MA 523 Numerical Solution of Initial Value PDEs^ 5 15 MA 524 Continuum Mechanics 1: Viscous Flow^ 5 15 MA 525 Coding Theory^ 5 15 MA 526 One-Dimensional Dynamical Systems^ 5 15 MA 527 Modern Methods for Differential Equations^ 5 15 MA 528 Mathematics of Financial Derivatives^ 5 15 MA 529 Calculus of Variations^ 5 15 MA 530 Numerical Approximation^ 5 15 MA 531 Mathematics in Medicine^ 5 15 MA 532 Applied Functional Analysis^ 5 15 MA 533 Numerical Solution of Boundary Value PDEs^ 5 15 MA 534 Continuum Mechanics 2: Elasticity^ 5 15 MA 535 Waves^ 5 15 MA 536 Higher-Dimensional Dynamical Systems^ 5 15 MA 537 Environmental Modelling (An Introduction) 5 15 MA 538 Control Theory 5 15 MA 540 Project* 5 45 MA 541 Placement Project* 5 60 MM 540 Project* 5 15 MM 541 Placement Project* 5 15 MM 552 Applied Analysis and PDEs 1 5 15 MM 553 Applied Analysis and PDEs 2 5 15 MM 554 Applied Mathematics Methods 1 5 15 MM 555 Applied Mathematics Methods 2 5 15 MM 556 Mathematical Models 1 5 15 MM 557 Mathematical Models 2 5 15 MM 558 Pure Analysis 1 5 15 MM 559 Pure Analysis 2 5 15 MM 560 Statistics 1 5 15 MM 561 Statistics 2 5 15 MM 562 MM 563 MM 564 MM 565 MM 566 MM 567 MM 568 MM 569 Probability 1 Probability 2 Geophysical Fluid Dynamics Nonlinear Elasticity Mathematical Epidemiology Modern Theory for Complex Networks Modelling and Computation for Complex Networks Numerical Methods in Fluid Mechanics 5 5 5 5 5 5 15 15 15 15 15 15 5 5 15 15 ^ This class may only be undertaken if the corresponding Level 4 class has not been taken previously. * The Project may be undertaken at an industrial placement (MA 541) normally lasting a minimum of 4 months. In exceptional circumstances the Project MA 540 may be replaced by further classes at Level 5. 16.15.9 16.15.10 16.15.11 16.15.12 16.15.13 16.15.14 16.15.15 16.15.16 Progress At all stages of the course, a student must normally have achieved an approved standard of performance with regard to level of study and academic attainment. In order to progress to the second year of the course, a candidate must normally have accumulated at least 120 credits from the course curriculum. In order to progress to the third year of the course, a candidate must normally have accumulated at least 240 credits from the course curriculum. In order to progress to the fourth year of the course, a candidate must normally have accumulated at least 360 credits from the course curriculum. In order to progress to the fifth year of the course, a candidate must normally have accumulated at least 480 credits from the course curriculum. Final Assessment On successful completion of the class MA 500 a candidate will be awarded 120 credits. The final classification for the degree of MMath in Mathematics will normally be based on: (i) the first assessed attempt at compulsory and optional classes taken in the fourth and fifth years; (ii) if appropriate, an oral examination. Award MMath: In order to qualify for the award of the degree of MMath in Mathematics, a candidate must have accumulated no fewer than 600 credits from the course curriculum. These must include no fewer than 210 credits at Levels 4 and 5 of which a minimum of 90 must be at Level 5 and must include 240 credits from compulsory and optional classes taken in the fourth and fifth years. 16.15.17 16.16 Transfer A candidate who fails to satisfy the progress or award requirements for the degree of MMath in Mathematics may be transferred to the degree of BSc with Honours in Mathematics. (Numbers not used)