SUNY at Stony Brook MAT 319: Foundations of Analysis
Spring 2007

Projects

Every student in MAT319 will need to complete a project related to mathematical analysis (typically working in groups of two or three people). Each group will need to produce a written paper. Only one paper per group is needed; however, each member of the group should write a section of paper.

Your project paper must be written in such a way that it can be understood by other students in MAT 319. It should contain some rigorous proofs, not only descriptions or historical accounts (but feel free to include some extra mathematics without proof). The paper may be handwritten or typed.

A list of suggested projects is here. Many topics are quite flexible, so what exactly you write about is up to you. You're very welcome to suggest your own project, too.

Some relevant information for the projects can be found in our textbook; another helpful resource is the Internet, for example, Wikipedia. Many other analysis books can also be useful; I'd like to mention Principles of Mathematical Analysis by Walter Rudin (although this book is more advanced than our course). I will be happy to suggest specific references if needed.

You have to write the paper in your own words; projects copied from the textbook or Wikipedia (or anywhere else) will not be accepted. The line between plagiarism and legal borrowing is as follows: you can borrow the ideas from any sources (books, internet, discussions with other members of your group) but final writing should be your own and reflect your understanding of the material not cut-andpaste. Any sources you use (other than discussions with other members of your group) must be clearly acknowledged.

Important dates:

March 15 Decide who to work with, pick a project and tell me (in class or by email).

April 17 Project paper due.