Mathcamp

David Savitt

I am the Deputy Director of Canada/USA Mathcamp, a five-week summer program for mathematically gifted high school students. Here is an article on Mathcamp 2003 from the Toronto Globe and Mail.

Teaching:

I have taught at Mathcamp since 1996. Here are handouts, problem sets, and references from some of my classes:

The Mathematics of Gauss -- lecture notes (pdf ps)
Field Theory
- Problem Set 1 (pdf ps)
- Problem Set 2 (pdf ps)
- Problem Set 3 (pdf ps)
Finite Fields -- problem set (pdf ps)
Imaginary Quadratic Fields -- unique factorization notes (pdf ps)
Diophantine Equations -- handout on passing from rational to integer solutions (pdf ps)
Basic Number Theory
- Notes on the Euclidean algorithm and GCDs (pdf ps)
- Notes on primitive roots (pdf ps)
- Problem Set 1 (pdf ps)
- Problem Set 2 (pdf ps)
- Problem Set 3 (pdf ps)
- Problem Set 4 (pdf ps)
- Problem Set 5 (pdf ps)

Pell's Equation -- taught from Ed Barbeau's book using the Moore Method
Abel's Theorem -- co-taught using the Moore Method from a translation of a problem book by V. Alexeev (e-mail if interested)
Differential Fields -- taught from these notes by Matthew Wiener and maintained by Dave Rusin

In addition, I have taught courses on continued factions, elliptic curves, p-adic numbers, lattices and Minkowski's Theorem, finite fields in combinatorics, knot theory, and finite groups of small order.

Team Problem Solving contests:

Here are many of the Team Problem Solving contests from 2003 and 2004. Almost all problems were proposed by Dorin Andrica.

2003, Contest 2: (pdf ps)
2003, Contest 3: (pdf ps)
2003, Contest 4: (pdf ps)
2003, Contest 5: (pdf ps)

2004, Contest 1: (pdf ps)
2004, Contest 2: (pdf ps)
2004, Contest 3: (pdf ps)
2004, Contest 4: (pdf ps)
2004, Contest 5: (pdf ps)

Some friends of Mathcamp:

Mathcamp is run by the Mathematics Foundation of America, a 501(c)3 nonprofit organization.