Notes from the 2012 Canada/USA Mathcamp:
Proof Techniques:
Latin Squares:
- Lecture 1: An introduction to Latin squares.
- Lecture 2: Mutually orthogonal Latin squares and finite fields.
- Lecture 3: Latin squares and groups.
- Lecture 4: Latin squares and geometry.
- Lecture 5: Latin squares and magic squares.
- Lecture 6: Latin squares and the n-queens problem.
- Lecture 7: Latin squares and error-correcting codes, part 1/2.
- Lecture 8: Latin squares and error-correcting codes, part 2/2.
- Homework sets: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Many Campers Sort Piles:
Random and Quasirandom Graphs:
The Only Random Graph:
A Quick Guide to Malbolge:
The Unit Distance Graph and the Axiom of Choice: