Berkeley Math Circle

Handouts 2010/2011 (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:

1998-1999	1999-2000	2000-2001	2001-2002	2002-2003
2003-2004	2004-2005	2005-2006	2006-2007	2007-2008
2008-2009	2009-2010	2010-2011	2011-2012

Monthly Contests:

1999-2000	2000-2001	2001-2002	2002-2003	2003-2004
2004-2005	2005-2006	2006-2007	2007-2008	2008-2009
2010-2011	2011-2012

For information on the schedule of the Berkeley Math Circle (BMC) Elementary sessions, please go to BMC Elementary.

The sessions for the BMC Beginner, Intermediate, and Advanced will be held on Tuesdays on the UC Berkeley Campus, with BMC Beginner running from 6:30pm to 8pm and BMC Intermediate and Advanced running from 6pm to 8pm. The starting times are sharp and parking is limited, so please plan on arriving 10 to 15 minutes earlier. Late arrivals are discouraged since they cause distraction to the sessions.

Regarding the Monthly Contest schedule, you'll find little symbols in the left hand column. The symbol denotes when a Monthly Contest will be distributed. The symbol stands for when a Monthly Contest is due. Finally, the symbol represents when the awards for that Monthly Contest will be held.

To jump quickly to a particular month, select from the following:
September	February
October	March
November	April
December	May
January

Date	Instructor________ University or Affiliation	Topic	Room Number
Sep. 7 MC1	Zvezdelina Stankova Mills College	Geometry I(Beginner)	939
	Matt Beck San Francisco State University	Number Theory I(Intermediate)	740
	Igor Ganichev UC Berkeley	Functional Equations(Advanced)	736
Sep. 14	Zvezdelina Stankova Mills College	Geometry II(same handout as Geometry I) (Beginner)	939
	Matt Beck San Francisco State University	Number Theory II(Intermediate)	740
	Brian Conrad Stanford University	Elliptic curves: theory and application(Advanced)	736
Sep. 21	Zvezdelina Stankova Mills College	Geometry III (same handout as Geometry I)(Beginner)	939
	Yael Degany UC Berkeley	Functions I: Get real(Intermediate)	740
	Olga Holtz UC Berkeley	Invariants and semi-invariants(Advanced)	736
Sep. 28	Zvezdelina Stankova Mills College	Geometry IV(same handout as Geometry I)(Beginner) Summary for Geometry	939
	Yael Degany UC Berkeley	Functions II: Get Real(Intermediate)	740
	Vera Serganova UC Berkeley	Infinite series and generating functions(Advanced)	736
MC1 Oct. 5 MC2	Paul Zeitz University of San Francisco	Algebra I(Beginner)	939
	Chris Overton	Introduction to Sound Analysis(Intermediate)	740
	Robert Bryant MSRI	Poncelet's Theorem(Advanced)	736
Oct. 12 MC1	Yael Degany UC Berkeley	TBA(Beginner)	939
	John Schulman UC Berkeley	Probability I: Bayes' Rule(Intermediate)	740
	Chris Overton	Sound and Harmonic Analysis(Advanced)	736
Oct. 19	Paul Zeitz University of San Francisco	Algebra II(Beginner)(same handout as Algebra I)	939
	John Schulman UC Berkeley	Probability II(Intermediate)(same handout as Probability I)	740
	Evan O'Dorney IMO Participant	IMO Aftermath(Advanced)	736
Oct. 26	Paul Zeitz University of San Francisco	Algebra III(Beginner) (same handout as Algebra I)	939
	Zvezdelina Stankova Mills College	Geometry I(Intermediate)	740
	Dimitri Zvonkine Stanford University	Mathematical Games for Two Players(Advanced)	736
MC2 Nov. 2 MC3	Alon Amit Facebook	Combinatorics I(Beginner)	939
	Zvezdelina Stankova Mills College	Geometry II(Intermediate)(same handout as Geometry I)	740
	Sergei Ovchinnikov San Francisco State University	Piecewise Linear Functions(Advanced)	736
Nov. 9 MC2	Alon Amit Facebook	Combinatorics II(Beginner)	939
	Dana Paquin EPGY Head of Math Prog., Stanford Math Circle Director	AMC 8 Preparation(Intermediate) Prime Factorization	740
	Dave Auckly MSRI	Area, volume and curved triangles(Advanced)	736
Nov. 16	Alon Amit Facebook	Combinatorics III(Beginner)	939
	Staff	AMC 8 (Intermediate)	141 McCone
	Evan O'Dorney IMO Participant	Complex Numbers in Geometry(Advanced) Formulas	740
Nov. 23	Joshua Zucker MSRI	Numbers and Sequences I(Beginner)	939
	Tom Davis Silicon Graphics	Catalan Numbers (Intermediate)	740
	Zvezdelina Stankova Mills College	Geometry I(Advanced)	736
Nov. 30	Joshua Zucker MSRI	Numbers and Sequences II(Beginner)(same handout as Numbers and Sequences I)	939
	Tom Davis Silicon Graphics	Huffman Encoding (Intermediate)	740
	Elwyn Berlekamp UC Berkeley	TBA (Advanced)	736
MC3 Dec. 7 MC4	Joshua Zucker MSRI	Numbers and Sequences III (Beginner)(same handout as Numbers and Sequences I)	939
	Dimitri Zvonkine Stanford University	Voting Schemes (Intermediate)	740
	Alexander Givental UC Berkeley	How do physicists solve equations? (Advanced)	736
Dec. 14 MC3	Joshua Zucker MSRI	Numbers and Sequences IV (Beginner)(same handout as Numbers and Sequences I)	939
	Alexander Givental UC Berkeley	To Infinity and Beyond (Intermediate)	740
	Dave Auckly MSRI	Math Rocks (Advanced)	736
Dec. 21	Winter and New Year Break
Dec. 28	Winter and New Year's Break
Jan. 4	Winter and New Year's Break
MC4 Jan. 11 MC5	Paul Zeitz University of San Francisco	Algebra IV (Beginner)	939
	Ted Courant Bently School	Euclidean Algorithm from a Geometric Viewpoint (Intermediate)	740
	Cliff Stoll	Slide Rules (Advanced)	736
Jan. 18 MC4	Paul Zeitz University of San Francisco	Algebra V (Beginner)	939
	Ted Courant Bently School	Continued Fractions from a Geometric Viewpoint (Intermediate)	740
	Zvezdelina Stankova Mills College	Geometry II (Advanced) (same handout as Geometry 1)	736
Jan. 25	Paul Zeitz University of San Francisco	Algebra VI (Beginner)	939
	David Auckly MSRI	(K)not Symmetry (Intermediate) Click here for the second handout.	740
	Keith Conrad Univ. of Conn./UC Berkeley	Gaussian Integers (Advanced)	736
Feb. 1	Paul Zeitz University of San Francisco	Algebra VII (Beginner)	939
	Dana Paquin CalPoly	AMC 10 Preparation: Working with Polynomials (Intermediate) Click here for the 2006 AMC10A test.	740
	Michael Pejic UC Berkeley	AMC 12 Preparation (Advanced)	736
MC5 Feb. 8 MC6	Linda Green Mills College	Combinatorics IV - Pigeonhole Principle(Beginner)	939
MC5 Feb. 8 MC6	Staff	AMC 10/12 (Intermediate/Advanced)	141 McCone
Feb. 15 MC5	Linda Green Mills College	Combinatorics V (Beginner)	939
	Aaron Kleinman UC Berkeley	BAMO Preparation (Intermediate)	740
	Andrew Dudzik UC Berkeley	BAMO Preparation (Advanced)	736
Feb. 22	Staff	BAMO 8/12	TBA
Mar. 1	Joshua Zucker MSRI	BAMO Aftermath (Beginner)	939
	Michael Pejic UC Berkeley	BAMO Aftermath (Intermediate)	740
	Miklos Racz UC Berkeley	BAMO Aftermath (Advanced)	736
MC6 Mar. 8 MC7	Linda Green Mills College	Combinatorics VI (Beginner)	939
	Maia Averett Mills College	Topology I (Intermediate)	740
	Ngoc Tran UC Berkeley	AIME Preparation (Advanced)	736
Mar. 15 MC6	Linda Green Mills College	Combinatorics VII (Beginner)	939
	Zvezdelina Stankova Mills College	The Brilliancy Solution at BAMO-2011 to Problem 4 (Intermediate)	740
	Dimitar Grantcharov University of Texas	Inequalities (Advanced)	736
Mar. 17	Staff	AIME for qualifiers	31 Evans
Mar. 22	Spring Break
Mar. 29	Zvezdelina Stankova Mills College	Geometry V (Beginner) (handout is augmented with HW 1)	939
	Tatiana Shubin San Jose State University	Geometric Combinatorics: Chromatic Numbers and More (Intermediate)	740
	Igor Ganichev UC Berkeley	Problems on Systems of Geometrical Structures (Advanced)	736
MC7 Apr. 5 MC8	Zvezdelina Stankova Mills College	Geometry in the Plane VI (Beginner) (handout is augmented with HW1)	939
	Tatiana Shubin San Jose State University	Geometric Combinatorics: Putnam and Beyond (Intermediate)	740
	Claudiu Raicu UC Berkeley	Generating Functions (Advanced)	736
Apr. 12 MC7	Zvezdelina Stankova Mills College	Geometry in the Plane VII (Beginner)	939
	Joshua Zucker MSRI	Numbers and Sequences I (Intermediate)	740
	Dan Asimov UC Berkeley	The beauty of surfaces (Advanced) Handout 1 Handout 2	736
Apr. 19	Zvezdelina Stankova Mills College	Geometry in the Plane VIII (Beginner)	939
	Joshua Zucker MSRI	Numbers and Sequences II (Intermediate)	740
	Dan Asimov UC Berkeley	Higher-dimensional mysteries (Advanced)	736
Apr. 26 ** 961 N/A	Brandy Wiegers MSRI	Numbers and Sequences V (Beginner)	939
	Zack Judson UC Berkeley	Dysfunctional Functions AKA Relations (Intermediate) Handout 1 Handout 2	740
	Maia Averett Mills College	Gluing Diagrams and Topology (Advanced)	736
Apr. 27-28	Staff	USAMO/USAJMO for qualifiers	TBA
MC8 May 3	Brandy Wiegers MSRI	Numbers and Sequences VI (Beginner) (same handout as last week)	939
	Zvezdelina Stankova Mills College	Geometry III (Intermediate)	740
	Alon Amit Facebook	TBA (Advanced)	736
May 10 MC8	Evan O'Dorney IMO Participant Zvezdelina Stankova BMC Director	Tilings with 45 Degree Symmetry (Joint session for BMC-beginners, intermediate and advanced students) Dictionary	MSRI

BMC-Elementary Lesson Archive

Fall 2010

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

Spring 2011

Lesson 1	Lesson 2	Lesson 3	Lesson 4	Lesson 5
Lesson 6	Lesson 7	Lesson 8	Lesson 9-10
Lesson 11	Lesson 12	Lesson 13	Lesson 14	Lesson 15