Notes from the 2010 Canada/USA Mathcamp:
Generating Functions:
- Lecture 1: How to Count. (class notes) (homework)
- Lecture 2: Binomial Coefficients and Stirling Numbers. (class notes) (homework)
- Lecture 3: Nonstandard Dice. (class notes) (homework)
- Lecture 4: Sieves. (class notes) (homework)
Graph Theory (introduction):
- Lectures 3 and 4: Trees and Art Galleries. (class notes) (homework)
Graph Theory (colorings):
- Lecture 2: The Chromatic Polynomial (homework)
- Lecture 3: Marriage and the Edge-Chromatic Number. (class notes) (homework)
- Lecture 4: Snarks! (class notes) (homework)
- Lecture 5: Ramsey Theory. (class notes) (homework)
Graph Theory (probabilistic methods):
- Lecture 1: Ramsey Theory (with Probabilistic Methods!) (class notes) (homework)
- Lectures 2 and 3: Graphs of Arbitarily High Girth and Chromatic Number. (class notes) (homework)
- Lectures 4 and 5: The Only Random Graph. (class notes) (homework 1)(homework 2)
Latin Squares:
- Lecture 1: An Introduction to Latin Squares. (class notes) (homework)
- Lecture 2: A Proof of Evans's Conjecture, part 1/2. (class notes) (homework)
- Lecture 3: A Proof of Evans's Conjecture, part 2/2. (class notes) (homework)
Model Theory (from the Skolem's Paradox class):
- Lecture 1: An Introduction to Model Theory. (class notes) (homework)
The Unit Distance Graph:
- Lecture 1: The Unit Distance Graph Problem; Konig's Lemma. (class notes) (homework)
- Lecture 2: Coloring the Rational Plane. (class notes) (homework)
- Lecture 3: The UDG and the Axiom of Choice. (class notes) (homework)
- Lectures 4 and 5: Thomassen's Seven-Color Theorem. (class notes) (homework)