MSc Pure Mathematics and Mathematical Logic

A list of possible project titles and supervisors will be circulated early in semester one. Students may substitute an alternative title, subject to a member of staff being willing to supervise it. The project supervisor will provide a description of the project, and a partial list of library references. It is then the responsibility of the student to read up on the topic, and (eventually) to write a report on it. Project supervisors will give some guidance on the early chapters, but otherwise supervision is expected to be minimal.

The project gives you the experience of working independently providing useful practice for later life. The skills developed are regarded highly by employers and this is useful when you apply for jobs. The experience of preparing the project will also provide useful training for writing the dissertation (and, for those who go on to study for a PhD, writing a doctoral thesis).

To allow the student to personally research a particular mathematics topic and to produce his/her own expository description of it.

Learning outcomes: At the end of the course unit the student will:

• have successfully located information regarding a chosen mathematical topic;
• used independent learning skills to read and research the chosen topic;
• acquired some factual knowledge of the chosen topic;
• written an expository account of the chosen topic, showing an appreciation of the subject area.

10 credits will be awarded for the mini-project and 20 credits will be awarded for the main-project.

For both projects 80% of the marks for the project will be awarded for the quality of the written report. The examiners will look for:

Structure

• Clear definition of aims and objectives
• Selection of material
• Organisation and ordering of material

Presentation

• Precise and effective communication
• Clarity of writing and exposition

Accuracy

• Correctness of arguments
• Factual accuracy
• Mathematical precision

Initiative

Originality

• Independent thinking and individual expression
• Critical writing (as opposed to routine copying)
• Independent use of library and external sources

Understanding

• Appreciation of the meaning, context and significance of the work

The remaining 20% in each project will be awarded based on performance in an oral exam.