The Berkeley Math Circle

Handouts 2009-2010 (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

Date

Instructor

University or Affiliation

Topic

Room Number

Sep. 8

Zvezdelina Stankova

Mills College

Before and Beyond IMO? (Joint)

Read "Session 4. Number Theory I" from the BMC book.

Evans 740

Sep. 15

Zvezdelina Stankova

Mills College

Introduction to Number Theory (Beginner)

For more, read "Session 4. Number Theory I" from the BMC book.

Evans 740

Ian Le

Northwestern University

Equilateral Triangles, Fermat, Napoleon, Miquel and Simson (Advanced)

Evans 736

Sep. 22

Ivan Matic

UC Berkeley

Introduction to Geometry (Beginner)

Read "Session 11. Favorite problems from the BMC, Circle Geometry" from the BMC book.

Evans 740

Ted Courant

Bentley School

Geometric Transformations with an Introduction to Techniques from Projective Geometry, Part I(Advanced)

Evans 736

Sep. 29

Linda Green

Mills College

Euler Number of Spheres (Beginner)

Evans 740

Ted Courant

Bentley School

Geometric Transformations with an Introduction to Techniques from Projective Geometry, Part II(Advanced)

Evans 736

Oct. 6

Linda Green

Mills College

Tic-Tac-Toe on a Torus and other Diversions in Topology (Beginner)

Evans 60

Evan O'Dorney

BMC Student, IMO Participant

Olympiad Problems for the Diehard (Advanced)

Evans 75

Oct. 13

Joshua Zucker

MSRI, BAMO director

Coins in Twoland (Beginner)

Evans 60

Zvezdelina Stankova

Mills College

Grinding out the Bulgarian Olympiad Problems: the Beauty and the Background (advanced)

Evans 75

Oct. 20

Paul Zeitz

University of San Francisco, SFMC Director

Graph Theory for Beginners (Beginner)

Evans 740

Ivan Matic

UC Berkeley

Complex Generating Functions (Advanced)

Evans 736

Oct. 27

Quan Lam

Office of the UC President

AMC 8 Preparation(Beginner)

Evans 740

Paul Zeitz

University of San Francisco, SFMC Director

Graph Theory and Ramsey Theory, Part II(Advanced)

Evans 736

Nov. 3

Quan Lam

Office of UC President

AMC 8 Preparation (Beginner)

Evans 740

Paul Zeitz

University of San Francisco, SFMC Director

Van der Waerden's Theorem (Advanced)

Evans 736

Nov. 10

Vera Serganova

UC Berkeley

Problems (Beginner)

Read "Session 5. A Few Words about Proofs, Part I" from the BMC book.

Evans 740

David Auckly

MSRI

Solving Higher Degree Polynomial Equations(Advanced)

Read "Session 9. Complex Numbers" from the BMC book.

Evans 736

Nov. 17

BMC Staff

AMC 8 Competition for Grades 8 and Below

Evans 740

Dan Asimov

UC Berkeley

The Wonderful Complex Numbers (Advanced)

Evans 736

Nov. 24

Alexander Givental

UC Berkeley

Geometry of Surfaces (Beginner)

Evans 740

Dimitri Zvonkine

MSRI

Generating Series and Nice Number Sequences(Advanced)

Evans 736

Dec. 1

Alexander Givental

UC Berkeley

Mathematics of Musical Chords(Beginner)

Evans 740

Maia Averett

Mills College

Knot Theory (Advanced) (article coming soon in BMC book volume 2)

Evans 736

Dec. 8

Quan Lam

Office of the UC President

Chinese Math Competition Problems (Joint)/ New Year's Party

MSRI

Dec. 15

Michael Pejic

UC Berkeley

Again and Again: Iteration (Beginner)

Evans 740

Mikael Passare

University of Stockholm

Solving Triangles and Computing Infinite Sums(Advanced)

Evans 736

Dec. 22

Winter and New Year Break

Dec. 29

Winter and New Year's Break

Jan. 5

Alon Amit

FaceBook

Problems about Squares (Beginner)

Evans 939

Tom Rike

Oakland High School

Heptadecagon (Advanced)

Practice Problems

Evans 736

Jan. 12

Vera Vertesi

MSRI

Mathematical Games (Beginner)

Evans 740

Olga Holtz

UC Berkeley

Markov Chains (Advanced)

Hold mouse over the link for more information.

Evans 736

Jan.14

Who Wants to Be a Mathematician? at the Moscone Center in San Francisco

Jan.16

SIGMAA on Math Circles for Students and Teachers at the Moscone Center in San Francisco

Jan. 19

Tatiana Shubin

San Jose State University

Introduction to Group Theory I (Beginner)

Evans 740

Maksim Maydanskiy

Stanford University

What Is a Tropical Line? (Advanced)

Evans 736

Jan. 26

Valentin Tonita

UC Berkeley

More About Proofs (Beginner)

Evans 740

Robin Hartshorne

UC Berkeley

History of Imaginary Numbers (Advanced) (a good textbook by V. Katz related to the lecture: "The mathematics of Egypt, Mesopotamia, China, India, and Islam")

Evans 736

Feb. 2

Michael Pejic

UC Berkeley

AMC Preparation (Beginner)

Evans 740

Paul Melvin

Bryn Mawr College

Linking (Advanced)

Evans 736

Feb. 9

Ivan Matic

UC Berkeley

BAMO Preparation (Beginner)

Evans 939

BMC Staff

AMC 10 Competition/
AMC 12 Competition

Evans 740/736

Feb. 16

Andrew Dudzik

UC Berkeley

BAMO Preparation (Beginner)

Evans 740

Evan O'Dorney

BMC Student, IMO Participant

The Dynamics of Continued Fractions (Advanced)

Evans 736

Feb. 23

BAMO Staff

BAMO Competition (no regular session)

Evans 1015 and 740

Feb. 28

BAMO 2008 Grading

Mar. 2

Joshua Zucker

MSRI, BAMO Director

BAMO Aftermath (Beginner)

Evans 740

Dimitri Zvonkine

MSRI

Mountain climbing with your enemy: several problems with a rope and a couple of nails(Advanced)

Evans 736

Mar. 7

BAMO Awards at MSRI

Mar. 9

Matt Beck

San Francisco State

Graph Coloring (Beginner)

Evans 740

Ivan Matic

UC Berkeley

AIME Preparation (Advanced)

Evans 736

Mar. 16

Yael Degany

UC Berkeley

Equivalent or Not? (Beginner)

Evans 740

Cliff Stoll

Johnson Solids (Advanced)

Evans 736

BMC Staff

AIME Competition for Qualifiers

TBA

Mar. 23

Spring Break

Mar. 30

Tom Rike

Oakland High School

The Sums of Powers and the Bernoulli Numbers(Beginner)

Evans 740

Vera Serganova

UC Berkeley

On p-adic Numbers (Advanced)

Evans 736

Apr. 6

Tom Davis

Silicon Graphics (Co-Founder), SJMC Coordinator

The Mathematics of Kenken (Beginner)

Evans 740

Igor Ganichev

UC Berkeley

USAMO Preparation solutions (Advanced)

Evans 736

Apr. 13

Tatiana Shubin

San Jose State University

Introduction to Group Theory II (Beginner)

Evans 740

Tom Davis

Silicon Graphics (Co-Founder), SJMC Coordinator

Iterated Functions (advanced)

Evans 736

Apr. 20

Brandy Wiegers

MSRI, OMC Director

Beautiful mathematics in nature (Beginner)

Evans 740

Lenhard Ng

Duke University

The Topology of Surfaces (Advanced)

Evans 736

Apr. 27

Zvezdelina Stankova

Mills College

Medians surrender at the Olympics (Beginner)

Evans 740

Claudiu Raicu

UC Berkeley

Irreducibility of Polynomials over Z (Advanced)

Evans 736

BMC Staff

USAMO Competition for Qualifiers

TBA

May 2

End of the Year Party

May 4

Alon Amit

Facebook

Probability Paradoxes (Beginner)

Evans 740

Michael Pejic

UC Berkeley

Dynamical Systems (Advanced) 
additional material

Evans 736

BMC Elementary

For handouts from the Fall 2009 lessons, please click on following links.

Lesson 1

Lesson 2

Lesson 3

Lesson 4

Lesson 5

Lesson 6

Lesson 7

Lesson 8

Lesson 9

Lesson 10

Lesson 11

Lesson 12

Lesson 13

Lesson 14

Lesson 15

For handouts from the Spring 2010 lessons, please click on following links.

Lesson 1

Lesson 2

Lesson 3

Lesson 4

 

Lesson 5-6

Lesson 7

Lesson 8

Lesson 9

Lesson 10

Lesson 11

Lesson 12

Lesson 13

Lesson 14

Lesson 15