The Berkeley Math Circle

Handouts 2013-2014 (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. 3

MC1

Zvezdelina Stankova

(Mills/UCB)

Bulgarian Math Olympiads for Elementary and Middle School, Part I (Beginner)

330 Evans

Tom Davis

(San Jose Math Circle)

Information and Cryptography (Intermediate)

740 Evans

Piotr Achinger

(UCB)

Geometry with Complex Numbers (Advanced)

736 Evans

Sep. 10

Zvezdelina Stankova

(Mills/UCB)

Bulgarian Math Olympiads for Elementary and Middle School, Part II (Beginner)

330 Evans

Tom Davis

(San Jose Math Circle)

Information and Cryptography (Intermediate)

740 Evans

Piotr Achinger

(UCB)

Projective Geometry (Advanced)

736 Evans

Sep. 17

Olga Radko

(UCLA Math Circle)

Russian Math Olympiads for 5th and 6th Grades (Beginner)

330 Evans

Eugenia Rosu

(UCB)

Some Problems with Divisibility, Part I (Intermediate)

740 Evans

Evan Chen

(BMC)

Combinatorial Nullstellensatz (Advanced)

736 Evans

Sep. 24

Zvezdelina Stankova

(Mills/UCB)

Bulgarian Math Olympiads for Elementary and Middle School, Part IV (Beginner)

330 Evans

Eugenia Rosu

(UCB)

Some Problems with Divisibility, Part II (Intermediate)

740 Evans

Codina Catar

(MSRI/University of College, London)

Probability Theory (Advanced)

736 Evans

MC1

Oct. 1

MC2

Miklos Racz

(UCB)

Graph Theory I (Beginner)

330 Evans

Shuangjian Zhang

(MSRI/University of Toronto)

Inequalities (Intermediate)

740 Evans

Tom Davis

(San Jose Math Circle)

"Cryptography" (Advanced) 

736 Evans

 

Oct. 8

MC1

Miklos Racz

(UCB)

Graph Theory II (Beginner)

330 Evans

Brandy Wiegers

(SFSU)

Tiling (Intermediate)

740 Evans

Matthias Beck

(SFSU)

From Pick's Theorem to Ehrhart Polynomials (Advanced)

736 Evans

Oct. 15

Miklos Racz

(UCB)

Graph Theory III (Beginner)

330 Evans

Maria Colombo

(MSRI/SNS Pisa, Italy)

Problem Solving in Combinatorics: Double Counting and Other Strategies (Intermediate)

740 Evans

Lilit Martirosyan

(UCB)

Polynomial Identities (Advanced)

736 Evans

Oct. 22

Vera Serganova

(UCB)

Mathematical Induction (Beginner)

330 Evans

Zvezdelina Stankova

(Mills/UCB)

Counting Regions in the Plane, and More(Intermediate)

740 Evans

Christina Sormani

(MSRI/CUNY GC and Lehman College)

Metric Spaces and Gromov Hausdorff Convergence (Advanced)

736 Evans

MC2

Oct. 29

MC3

Paul Zeitz

(USF)

Games of Chance and Games of No Chance, Part I (Beginner)

330 Evans

Igor Ganichev

(Vmware Inc.)

Problem Solving: Circles and Angles in Plane Geometry, Part I (Intermediate)

740 Evans

Ernesto Nungesser

(MSRI/Trinity College Dublin)

Cosmology (Advanced)

736 Evans

 

Nov. 5

MC2

Paul Zeitz

(USF)

Games of Chance and Games of No Chance, Part II (Beginner)

330 Evans

Igor Ganichev

(Vmware Inc.)

Problem Solving: Circles and Angles in Plane Geometry, Part II (Intermediate)

740 Evans

Emanuel Indrei

(MSRI/University of Texas at Austin)

Solving polynomial equations with circulant matrix theory (ExercisesAdditional Reading) (Advanced)

736 Evans

Nov. 12

Paul Zeitz

(USF)

Games of Chance and Games of No Chance, Part III (Beginner)

330 Evans

Alexander Givental

(UCB)

To Infinity and Beyond: Set Theory (Intermediate)

740 Evans

Olga Holtz

(UCB)

Generating Functions (Advanced)

736 Evans

Nov. 19

Alex Zorn

(UCB)

Probability and Random Walks, Part I (Beginner)

330 Evans

BMC Staff

AMC 8 (Intermediate)

740 Evans

Austin Shapiro

(BMC)

The Stern-Brocot Tree, Rational Approximations, and Quadratic Forms (Advanced)

736 Evans

Nov. 26

Alex Zorn

(UCB)

Probability and Random Walks, Park II (Beginner)

330 Evans

Suresh Venkatasubramanian

(Simons Institute/University of Utah)

How to cut a cake (Intermediate)

740 Evans

Zvezdelina Stankova

(Mills/UCB)

Restricted Patterns: Results and Open Questions (Advanced) - Handouts: Short Ver.Long Ver.,Exercise

736 Evans

MC3

Dec. 3

MC4

Alex Zorn

(UCB)

"Probability and Random Walks, Part III" (Beginner)

330 Evans

Yi Wu

(Simons Institute/Purdue University)

Recursion (Intermediate)

740 Evans

Elwyn Berlekamp

(UCB)

Congruences (Advanced)

736 Evans

 

Dec. 10

MC3

Alexander Shapiro

(UCB)

Encryption (Beginners) 

330 Evans

Zvezdelina Stankova

(Mills/UCB)

Freedom for the Clones and Conway Checkers: Invariants and Monovariants (Intermediate) (YoutubeWeb Applet

740 Evans

Po-Shen Loh

(CMU)

Counting (Advanced)

736 Evans

Dec. 18

Winter and New Year Break

Dec. 25

Winter and New Year's Break

Jan. 1

Winter and New Year's Break

MC4

Jan. 7

MC5

Roseanna Pealatere

(Mills)

Equivalence Relations and Quotient Spaces(Beginner)

330 Evans

Aaron Kleinman

(UCB)

Secret Sharing (Intermediate)

740 Evans

Evan O'Dorney

(Harvard University)

Putnam Aftermath I (Advanced)

736 Evans

 

Jan. 14

MC4

Ted Courant

(Bentley)

Counting is tricky. Some examples of combinatorics from geometry and algebra(Beginner)

330 Evans

Evan Chen

(BMC)

Parallelograms (Intermediate)

740 Evans

Evan O'Dorney

(Harvard University)

Putnam Aftermath II (Advanced)

736 Evans

Jan. 21

Ted Courant

(Bentley)

Patterns, Geometry, and Induction: Part II(Beginner)

330 Evans

Chris Overton

(BMC)

Feel the heat - partial differential equations for heat and finite ways to approximate them(Intermediate)

740 Evans

Cliff Stoll

(Tehiyah)

Mobius Strip and Klein Bottles (Advanced)

736 Evans

Jan. 28

Ted Courant

(Bentley)

Patterns, Geometry, and Induction: Part III(Beginner)

330 Evans

Chris Overton

(BMC)

The Central Limit Theorem: a beautiful theory, and some ugly things that can happen when it doesn't apply (Intermediate)

740 Evans

Elina Robeva

(UCB)

Chip-Firing Games on Graphs (Advanced)

736 Evans

Feb. 4

Eugenia Rosu

(UCB)

A bit of Number Theory (Beginner)

330 Evans

BMC Staff

AMC 10/12 Contest (Intermediate/Advanced)

736 and 740 Evans

MC5

Feb. 11

MC6

Zvezdelina Stankova

(Mills/UCB)

BAMO Prep (Beginner)

330 Evans

Evan Chen

(BMC)

BAMO Prep (Intermediate)

740 Evans

Eugenia Rosu

(UCB)

BAMO Prep (Advanced) (Handout #1Handout #2)

736 Evans

Feb. 18MC5

Brandy Wiegers

(SFSU)

Organizing our Mathematical Thoughts! (Beginner)

330 Evans

Maryanthe Malliaris

(MSRI/University of Chicago)

Sally and Sally "Trimathlon" and More (Intermediate)

740 Evans

Austin Shapiro

(UCB)

BAMO Prep (Advanced)

736 Evans

Feb. 25

Staff

BAMO 8/12 Contest

740, 1015

MC6

Mar. 4

MC7

Alexander Shapiro

(UCB)

Math Tricks Everyone Should Know, Part I (Beginner)

330 Evans

Zvezdelina Stankova

(Mills/UCB)

BAMO Aftermath (Intermediate)

740 Evans

Andre Henriques

(MSRI/Utrecht University)

Regular Polyhedra in Four Dimensions (Advanced)

736 Evans

MC6

Mar. 11

 

Alexander Shapiro

(UCB)

Math Tricks Everyone Should Know, Part II(Beginner)

330 Evans

Po-Shen Loh

(CMU)

Counting (Intermediate)

740 Evans

Sean Tilson

(MSRI/Wayne State University)

Moduli Spaces: What Object do all of the Conic Sections make? (Advanced)

736 Evans

Mar. 13
(Thurs.)

Staff

AIME I for qualifiers

740

Mar. 18

 

Alexander Shapiro

(UCB)

Math Tricks Everyone Should Know, Part III(Beginner)

330 Evans

Michael Larson

(MSRI/Indiana University, Bloomington Math Circle)

The Pigeonhole Principle (Intermediate)

740 Evans

Joseph Hirsh

(MSRI/MIT)

Arrow's Impossibility Theorem, or Voting Paradoxes (Advanced)

736 Evans

Mar. 25

Spring Break

Apr. 1

 

Laura Ball

(Williams College)

Hexagonal Lattices (Beginner)

330 Evans

Paul Zeitz

(USF)

Random Walks and Gambling, Part I(Intermediate)

740 Evans

Piotr Achinger

(BMC)

Fun with Boxes (Advanced)

736 Evans

MC7

Apr. 8

MC8

Ayelet Lindenstrauss

(MSRI/Indiana University, Bloomington Math Circle)

Modular Arithmetic Equations and the Euclidean Algorithm (Beginner)

330 Evans

Paul Zeitz

(USF)

Random Walks and Gambling, Part II(Intermediate)

740 Evans

Thomas Wasserman

(MSRI/University of Oxford)

Topology and the Fundamental Group (Advanced)

736 Evans

Apr. 15

MC7

Dimitar Grantcharov

(UTA)

Games (Beginner)

330 Evans

Quan Lam

(Office of UC President)

Exploring Mathematics Through Problem Solving, Part I (Intermediate)

740 Evans

Matthias Beck

(SFSU)

Hyperplane Arrangements, Part I (Advanced)

736 Evans

Apr. 22

Zvezdelina Stankova

(Mills/UCB)

My Favorite Geometry Problems, Part I(Beginner)

330 Evans

Quan Lam

(Office of UC President)

Exploring Mathematics Through Problem Solving, Part II (Intermediate)

740 Evans

Matthias Beck

(SFSU)

Hyperplane Arrangements, Part II (Advanced)

736 Evans

Apr. 29

Zvezdelina Stankova

(Mills/UCB)

My Favorite Geometry Problems, Part II(Beginner)

330 Evans

Emily Riehl

(MSRI/Harvard)

Stable Marriage Problem (Worksheet) (Intermediate)

740 Evans

Richard Borcherds

(UCB)

Continued Fractions (Advanced)

736 Evans

April 29-30

 

BMC Staff

USAMO for qualifiers

TBA

MC8

May 6

 

Zvezdelina Stankova

(Mills/UCB)

My Favorite Geometry Problems, Part III(Beginner)

330 Evans

Tatiana Shubin

(SJSU)

Chromatic Numbers and Other Geometric Combinatorics Delights (Intermediate)

740 Evans

Paul Zeitz

(USF)

Random Walks (Advanced)

736 Evans

 

May 13

MC8

Alon Amit

(Facebook/Origami Logic)

End-of-the-year Event at Lawrence Hall of Science from 6:00 PM - 7:30 PM 

Joint session for BMC-Beginners, Intermediate and Advanced students

TBA