a) To study in depth an area of pure mathematics and report on it; or

b) To construct and study mathematical models of a chosen problem;
or

c) To demonstrate a critical understanding and historical appreciation of some branch of mathematics by means of directed reading and preparation of a report.; or d) To study in depth a particular problem in statistics, probability or operational research.

(LO1) a) (Pure Maths)After completing the report with suitable guidance the student should have · gained a greater understanding of the chosen mathematical topic · gained experience in applying his/her mathematical skills · had experience in consulting relevant literature · learned how to construct a written project report · had experience in making an oral presentation b) (Applied Mathematics)After completing the project with suitable guidance the students should have: - learned strategies for simple model building - gained experience in choosing and using appropriate mathematics - understood the nature of approximations used - made critical appraisal of results - had experience in consulting related relevant literature - learned how to construct a written project report - had experience in making an oral presentation. c) (Applied Maths/Theoretical Physics)After researching and preparing the mathematical essay the student should have: · gained a greate r understanding of the chosen mathematical topic · gained an appreciation of the historical context · learned how to abstract mathematical concepts and explain them · had experience in consulting related relevant literature · learned how to construct a written project report · had experience in making an oral presentation. d) (Statistics, Probability and Operational Research) After completing the project the student should have: · gained an in-depth understanding of the chosen topic · had experience in consulting relevant literature · learned how to construct a written project report; · had experience in making an oral presentation.

(S1) Problem solving skills

(S2) Numeracy

(S3) Adaptability

(S4) Organisational skills

(S5) Communication skills

(S6) IT skills

a) (Pure Maths) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year. During weekly consultations, the supervisor directs the progress of the project. Initially, the sessions will normally focus on direct reading and discussions of basic concepts. As the project progresses, the student is encouraged to initiate further literature searches and exercise individual choice in selection of material. Towards the end of the project, the student is given explicit guidance on report writing and oral presentation. Written notes on possible project topics and on detailed submission requirements are given to students in advance. b) (Applied Maths) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online th at is, before the end of the previous academic year. During weekly consultations, the supervisor directs the progress of the modelling project. Initially, the sessions will normally focus on directed reading and exploratory calculations. As the project progresses, the student is given a strategy for further model refinement and development, using real data and observations wherever possible. Towards the end of the project, the student is given explicit guidance on report writing and oral presentation. Written notes on possible project topics and on detailed submission requirements are given to students in advance. c) (Applied Maths, Theoretical Physics)  Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year. During weekly consultations, the supervisor directs the progress of the project. Initially, the sessio ns will normally focus on directed reading and discussions of basic concepts. As the project progresses, the student is encouraged to initiate further literature searches and exercise individual choice in selection of material. Towards the end of the project, the student is given explicit guidance on report writing and oral presentation. Written notes on possible essay topics and on detailed submission requirements are given to students in advance. d) (Statistics and Probability) Student must select themselves a supervisor and a project from a list of suggested topics. It is highly advisable to do this at the same time as registering the module online that is, before the end of the previous academic year. During weekly consultations, the supervisor directs the progress of the project. Depending upon the topic, the project may involve obtaining and analysing real data, understanding an area of statistical theory, and use of appropriate computer packages. The student is encouraged to exe rcise individual choice in selection of material. Written notes on possible topics and on the basis on which the project report will be assessed are given to students in advance.