| Instructor |
Topic |
Notes |
| Zvezdelina Stankova |
Inversion in the Plane. Part I |
(PDF) |
| Paul Zeitz |
Combinatorics. Part I |
(PDF) |
| Quan Lam |
Proofs in Mathematics. Part I |
(PDF) |
| Dmitry Fuchs |
Can a number be approximately rational? |
(PDF) |
| Bjorn Poonen |
Linear Recursive Sequences |
(PDF) |
| Zvezdelina Stankova |
Inversion in the Plane. Part II |
(PDF) |
| Vera Serganova and Alexander Givental |
Arithmetics |
(PDF) |
| Vera Serganova |
Diophantine Equations |
(PDF) |
| Paul Zeitz |
Combinatorics. Part II |
(PDF) |
| Quan Lam |
Proofs, Part II |
(PDF) |
| Dmitri Fuchs |
Cubic Equations |
Look at the article "Surprises of the Cubic Formula" by Dmitry Fuchs and Irene Klumova, Quantum, May/June 1996 (publ. by Springer-Verlag.) |
| Zvezdelina Stankova |
Inversion, Part III: Geometry, the Complex Plane |
(PDF) |
| Alexander Givental |
Three Points in the Plane |
No handout. Homework problems given in class. Look at the article "The Euler Line and Nine-Point-Circle Theorems" by Frank Eccles, The Mathematics Teacher, January 1999. |
| |
Rookies-Veterans Contest |
(PDF) |
| John McCuan |
Plane Geometry |
(PDF) |
| Quan Lam |
Proofs: Pigeonhole Principle and Infinite Descent |
(PDF) |
| Dmitri Fuchs |
The Geometry of a Piece of Paper |
Look at the article "Bend this sheet, but do not fold, staple, or mutilate" by Dmitry Fuchs, Quantum, Jan. 1990 (publ. by Springer-Verlag.) |
| Paul Zeitz |
Probability |
(PDF) |
| Bjorn Poonen |
Infinity: Cardinal Numbers |
(PDF) |
| Eugene Mukhin |
Problems of Marriage |
(PDF) |
| Zvezdelina Stankova |
Practice Session for BAMO |
Practice Problems. Set I: (PDF)
Solutions to Set I: (PDF
Practice Problems. Set II: (PDF)
Solutions to Set II: (PDF) |
| Bjorn Poonen |
Discussion of BAMO'99 |
Problem Set of the 1st Bay Area Math Olympiad (PDF)
Solutions of the 1st Bay Area Math Olympiad
(PDF) |
| Alexander Givental |
Kepler's Laws |
No handout. Homework problems given in class. |
| Vera Serganova |
Projective geometry, or where parallel lines meet |
|
| Paul Zeitz |
Graph Theory |
(PDF) |
| Vera Serganova |
Geometry, Part II |
|
| Zvezdelina Stankova |
Multiplicative Functions, Part I |
(PDF) |
| Bjorn Poonen |
Game Theory |
|
| Dmitry Fuchs |
Dynamical Systems: Determinism versus Chaos |
|
| John McCuan |
More on measuring lengths and areas. Problems, Part II |
|
| Zvezdelina Stankova |
Multiplicative Functions, Part II |
(PDF) |