Circle Archives
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) |