Math 65, Spring 1999

Various assignments and special handouts may go here. They may look fuzzy at first (depending on which version of TeX I create the dvi files with from which the Acrobat files are made), but they print fine, and they look fine when shown enlarged. The first few are:

Derangements: from recurrence to summation formula

Inventions assigned 2/8/99 (small errors in the statements of problems F, G and H4)

Invention P, assigned 3/1/99 (Reproving the basic Inclusion-Exclusion formula using modern notation - summation over sets )

A Proof by Ideal Elements. A careful example of the ideal element method in graph theory. Starting from Hall's Theorem for complete matchings, we derive a necessary and sufficient condition for 2-to-1 matchings.


Writing Mathematics

Students in this course have papers to write and present. I have drafted a whole book for undergraduates on the subject of how to write mathematics, but you may want something shorter.

First, here is the 10-page guide I made on writing papers for Senior conference several years ago.

Second, here is the 21-page version I made for Math 9 in 1995.

Neither of these is quite up to date on how to use computers to produce mathematical symbolism, but for the most part you should find them helpful.


Last updated 4/1/99