19.15 Department of Mathematics and Statistics Mathematics and Statistics MSc in Mathematical Sciences Postgraduate Diploma in Mathematical Sciences Postgraduate Certificate in Mathematical Sciences Course Regulations [These regulations are to be read in conjunction with Regulation 19.1] 19.15.1 Admission Regulation 19.1.1 shall apply subject to the following requirements. Applicants shall possess (i) a degree (or in the case of direct entry to the degree of MSc, a first or second class Honours degree) from a United Kingdom university (in Mathematics or a closely related subject); or (ii) a qualification deemed by the Course Director acting on behalf of Senate to be equivalent to (i) above. In all cases, applicants whose first language is not English, shall be required to demonstrate an appropriate level of English. 19.15.2 Mode of Study The courses are available by full-time and part-time study. 19.15.3 Curriculum All students shall undertake an approved curriculum as follows for the Postgraduate Certificate – no fewer than 60 credits for the Postgraduate Diploma – no fewer than 120 credits for the degree of MSc – no fewer than 180 credits including a project. Optional Classes No fewer than 60 credits chosen from List A List A* MM 552 Applied Analysis and PDEs 1 MM 554 Applied Mathematics Methods 1 MM 556 Mathematical Models 1 MM 558 Pure Analysis 1 MM 560 Statistics 1 MM 562 Probability 1 List B* MM 553 MM 555 MM 557 MM 559 MM 561 MM 563 Applied Analysis and PDEs 2 Applied Mathematics Methods 2 Mathematical Models 2 Pure Analysis 2 Statistics 2 Probability 2 Level Credits 5 5 5 5 5 5 15 15 15 15 15 15 5 5 5 5 5 5 15 15 15 15 15 15 * Such other Level 5 classes chosen from Regulations 16.15.8 as may be approved by the Course. Students for the degree of Postgraduate Diploma and MSc only in addition shall undertake a further 60 credits chosen from the lists above of which at least 45 credits shall be chosen from List B. Students for the degree of MSc only: MM 550 MSc Project 19.15.4 19.15.5 19.15.6 19.15.7 19.15.8 5 Examination, Progress and Final Assessment Regulations 19.1.25 – 19.1.33 shall apply. The final assessment will be based on performance in the examinations, coursework, the Project where undertaken and, if required, in an oral examination. Award Degree of MSc: In order to qualify for the award of the degree of MSc in Mathematical Sciences, a candidate must normally have accumulated no fewer than 180 credits from the course curriculum, of which 60 must have been awarded in respect of the Project. Postgraduate Diploma: In order to qualify for the award of the Postgraduate Diploma in Mathematical Sciences, a candidate must normally have accumulated no fewer than 120 credits from the taught classes of the course. Postgraduate Certificate: In order to qualify for the award of the Postgraduate Certificate in Mathematical Sciences, a candidate must normally have accumulated no fewer than 60 credits from the taught classes of the course. 19.16 Transfer A candidate who has performed in the taught classes at the level specified for the degree of MRes in Mathematical Sciences may be considered for transfer to the MRes, subject to the approval of the Board of Study, acting on behalf of Senate, and on the recommendation of the Course Director. (Number not used) 20.15 Department of Mathematics and Statistics 19.15.9 Mathematical Sciences MRes in Mathematical Sciences Course Regulations [These regulations are to be read in conjunction with Regulations 20.4] Admission 60 20.15.1 Regulation 20.4.1 shall apply subject to the following requirements. Applicants shall possess (i) a first or second class Honours degree from a United Kingdom university (in Mathematics or a closely related subject ); or (ii) a qualification deemed by the Course Director acting on behalf of Senate to be equivalent to (i) above. In all cases, applicants whose first language is not English, shall be required to demonstrate an appropriate level of English. 20.15.2 Duration of Study Regulations 20.4.5 and 20.4.6 shall apply. 20.15.3 Mode of Study The course is available by full-time and part-time study. 20.15.4 Curriculum All students shall undertake an approved curriculum as follows: Compulsory Class MM 551 MRes Research Project Level 5 Credits 120 Optional Classes* No fewer than 60 credits chosen from MM 552 Applied Analysis and PDEs 1 5 MM 553 Applied Analysis and PDEs 2 5 MM 554 Applied Mathematics Methods 1 5 MM 555 Applied Mathematics Methods 2 5 MM 556 Mathematical Models 1 5 MM 557 Mathematical Models 2 5 MM 558 Pure Analysis 1 5 MM 559 Pure Analysis 2 5 MM 560 Statistics 1 5 MM 561 Statistics 2 5 MM 562 Probability 1 5 MM 563 Probability 2 5 * Such other Level 5 classes chosen from Regulations 16.15.8 as may be approved by the Course Director. 20.15.5 20.15.6 20.15.7 Examination, Progress and Final Assessment Regulations 20.4.21 and 20.4.27 shall apply. The final assessment will be based on performance in the written examinations, the coursework, the Research Skills Training, Project and, if required, in an oral examination. Award Degree of MRes: In order to qualify for the degree of MRes, a candidate must have performed to the satisfaction of the Examiners and must normally have accumulated no fewer than 180 credits, of 15 15 15 15 15 15 15 15 15 15 15 15 which 120 must have been awarded in respect of the Research Project. 20.15.8 20.16 to 20.17 Transfer A candidate who fails to satisfy the progress or award requirements for the degree of MRes in Mathematical Sciences may be transferred to the Postgraduate Diploma or the Postgraduate Certificate in Mathematical Sciences provided the appropriate performance in taught elements. (Numbers not used)