Archive for the ‘Notes’ Category

The Seven Colour Theorem

Wednesday, January 14, 2009 17:29
Posted in category Combinatorics, Notes

Here are the slides from Chris Tuffley’s talk on the seven colour theorem at the 2009 camp. These weren’t really intended as a stand alone document, so you’ll have to fill in some of the gaps yourselves!

Basic Counting Principles

Tuesday, January 13, 2009 11:42
Posted in category Combinatorics, Notes

Notes on the basic rules of counting, used at various camps.

Basic graph theory

Tuesday, January 13, 2009 11:39
Posted in category Combinatorics, Notes

Introductory notes on graph theory handed out at the 2009 camp.

Pigeon Hole Principle

Tuesday, January 13, 2009 11:36
Posted in category Combinatorics

Some notes on the pigeonhole principle, one of the most fundamental and useful results from discrete mathematics.

Inequalities bible

Tuesday, December 16, 2008 19:28
Posted in category Algebra

These notes by Dr. Arkadii Slinko provide a very thorough grounding in the skills needed to solve Olympiad inequality problems. They also include a number of nice examples.

An orthogonality lemma

Tuesday, December 16, 2008 17:30
Posted in category Geometry

These notes by Heather Macbeth discuss a useful criterion for the orthogonality of two line segments.  They’ll also give you some practice using vectors for geometry.