To demonstrate a critical understanding and historical appreciation of some branch of mathematics by means of directed reading and preparation of a report.

The MATH490 project should treat its subject at a more advanced level and in greater depth than the MATH399 or MATH499 projects. Working on this year-long project can provide a good base to continue mathematical studies through PhD.

After researching and preparing the report the student should have:

- gained a greater 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.

- gained familiarity with a scientific word-processing pakage such as LaTeX or TeX.

The student selects a supervisor and topic after consultation.

During weekly consultations, the supervisor directs the progress of the project. Initially, the sessions will normally focus on directed reading and discussion of basic concepts.

As the project progresses, the student is encouraged to initiate further literature searches and exercise individual choice in the selection of material.

Towards the end of the project, the student is given explicit guidance on report writing and oral presentation.

The final report should be typed using LaTeX or TeX, the standard scientific word-processing packages.

Written notes on possible topics and on detailed submission requirements are given to st udents in advance.