The Berkeley Math Circle

Handouts 1998-1999 (Archives)

Welcome to the BMC Archives. This section of the site was created to archive the session handouts and Monthly Contests from the Circle since 1998. To navigate this page, simply select the desired year you wish to view under either Session Handouts or Monthly Contests. The info for that year will be displayed underneath your selection.

Session Handouts:

Monthly Contests:

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)