The Berkeley Math Circle

Handouts 2015-2016 (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. 1

MC1

Zvezdelina Stankova

BMC Director, Mills College

Problem Solving from Different Areas of Mathematics, Part I (Beginner Level I)

334

Zvezdelina Stankova

BMC Director, Mills College

Solving Problems from Bulgarian Math Contests, Part I (Beginners Level II)

334

Zandra Vinegar

MoMath

How to Win Every Game (Intermediate Level I)

Handout Slides

332

Ted Alper

Stanford Math Circle, On Line High School Stanford

Combinatorial Games (Intermediate Level II) Handout

740

Igor Ganichev

UCB PhD in Computer Science, Vmware Inc, IMO Winner

Touring Computer Science in a MathTank (Advanced)

736

Sep. 8

Zvezdelina Stankova

BMC Director, Mills College

Problem Solving from Different Areas of Mathematics, Part II (Beginner Level I)

334

Zvezdelina Stankova

BMC Director, Mills College

Solving Problems from Bulgarian Math Contests, Part II (Beginners Level II)

334

Zandra Vinegar

MoMath

What Isn’t Changing (Intermediate Level I)

332

Norm Prokup

College Preparatory School

Mass Point Geometry (Intermediate Level II) Handout 

740

Eugenia Rosu

UC Berkeley

Some Problems in Graph Theory (Advanced)Handout

736

Sep. 15

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

More Problems in Competition Math: Counting, Probability, and Number Theory (Beginner Level I)

334

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Problems From Competition Math (Beginners Level II)

334

Zandra Vinegar

MoMath

Magic with a Half Deck (Intermediate Level I)

332

Norm Prokup

College Preparatory School

Circle Geometry (Intermediate Level II) Handout

740

Eugenia Rosu

UC Berkeley

Some problems in combinatorics and graph theory (Advanced) Handout

736

Sep. 22

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

More Problems in Competition Math: Counting, Probability, and Number Theory (Beginner Level I) Part II (Beginner Level I)

340

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

More Problems in Competition Math: Counting, Probability, and Number Theory (Beginner Level I) Part II (Beginners Level II)

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

A Peek over the Shoulders of Ancient Masters (Geometry) Part I (Intermediate Level I) Handout

332

Igor Ganichev

UCB PhD in Computer Science, Vmware Inc, IMO Winner

Vectors (Intermediate Level II)

740

Laura Pierson

BMC Participant, MC Coordinator, USAJMO Winner

Incompleteness and Provability (Advanced) Handout

736

Sep. 29

Kelli Talaska

UCB/Octopus Math

Permutations, Combinations, and Beyond Part I (Beginner Level I)

Handout

340

Kelli Talaska

UCB/Octopus Math

Permutations, Combinations, and Beyond Part I (Beginners Level II Handout
 

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

A Peek over the Shoulders of Ancient Masters (Geometry) Part II (Intermediate Level I) Handout
 

332

Igor Ganichev

UCB PhD in Computer Science, Vmware Inc, IMO Winner

Vectors (Intermediate Level II)

740

Olga Holtz

UC Berkeley

You Thought Modular Arithmetic was Boring? (Advanced)

736

MC1

Oct. 6

MC2

Kelli Talaska

UCB/Octopus Math

Permutations, Combinations, and Beyond Part II(Beginner Level I)

340

Kelli Talaska

UCB/Octopus Math

Permutations, Combinations, and Beyond Part II(Beginners Level II)

340

Norm Prokup

College Preparatory School

Geometric Constructions Handout(Intermediate Level I)

332

Tom Davis

San Jose Math Circle

Symmetry (Intermediate Level II)

740

Peter Bates

MSRI/Michigan State

And Now For SUMthing Completely Different Handout(Advanced)

736

 

Oct. 13

MC1

Kelli Talaska

UCB/Octopus Math

Permutations, Combinations, and Beyond Part III (Beginner Level I)

340

Kelli Talaska

UCB/Octopus Math

Permutations, Combinations, and Beyond Part III (Beginners Level II)

340

Norm Prokup

College Preparatory School

Similarity and Proportion (Intermediate Level I)

332

Tom Davis

San Jose Math Circle

Symmetry II (Intermediate Level II) Handout

740

Amos Fiat

Simons Institute/Tel Aviv U.

Issues in Game Theory (Advanced)

736

Oct. 20

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Triangles, and Altitudes Part I Handout(Beginner Level I)

340

Zandra Vinegar

MoMath

Sierpinski’s Sieve (Beginners Level II)

340

Norm Prokup

College Preparatory School

Similar Tringles Wrap Up (Intermediate Level I)

332

Zvezdelina Stankova

BMC Director, Mills College

Inversion in the Plane, Part I Handout (Intermediate Level II)

740

Aaron Kleinman

23andMe, a biotech company, Mountain View

Rational Rent-Splitting Handout(Advanced)

736

Oct. 27

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Triangles, and Altitudes Part II (Beginner Level I)

340

Zandra Vinegar

MoMath/Brilliant.org

Sierpinski's Sieve and Other Fractals Part II (Beginners Level II)

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Problems from Various Areas of Mathematics Handout 1 Handout 2(Intermediate Level I)

332

Zvezdelina Stankova

BMC Director, Mills College

Inversion in the Plane, Part II (Intermediate Level II)

740

Ali Gurel

Star League

Information Theory Puzzles (Advanced)

736

MC2

Nov. 3

MC3

Svetlana Roudenko

MSRI/George Washington

Turning Lies into Truth (Beginner Level I) Handout

340

Zandra Vinegar

MoMath

Sierpinski's Sieve and Other Fractals Part III (Beginners Level II)

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Problems from Various Areas of Mathematics II (Intermediate Level I) Handout 1 Handout 2

332

Andrei Tarfulea

MSRI, Princeton

Principles and Practice for the AMC 8 (Intermediate Level II) Handout

740

Dmitry Fuchs

UC Davis

Billiards (Advanced) Handout

736

 

Nov. 10

MC2

Svetlana Roudenko

MSRI/George Washington

Odd and Even Numbers (Beginner Level I) Handout

340

Zandra Vinegar

MoMath

Sierpinski's Sieve and Other Fractals Part IV (Beginners Level II)

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Problems from Various Areas of Mathematics III (Intermediate Level I) Handout

332

Zvezdelina Stankova

BMC Director, Mills College

Inversion in the Plane, Part III (Intermediate Level II)

740

Ted Courant

Bentley School

The Geometry and Algebra of Conic Sections

736

Nov. 17

Svetlana Roudenko

MSRI/George Washington

3D Geometry: Meet the Cube (Beginner Level I) Handout

340

BMC Staff

BMC Staff

AMC 8 Contest (Beginners Level II)

340

BMC Staff

BMC Staff

AMC 8 Contest (Intermediate Level I)

332

Quan Lam

UC Office of the President

Modular Arithmetic and Its Applications (Intermediate Level II)

740

Pratima Karpe

BASIS Independent School Silicon Valley

Voting theory analysis using graphs (Advanced) Handout

736

Nov. 24

Svetlana Roudenko

MSRI/George Washington

Word problems and common sense (Beginner Level I) Handout

340

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Exploding Dots (Beginners Level II)

340

Kelli Talaska

UCB/Octopus Math

KenKen Challenges (Intermediate Level I) Handout,Gaussian Integer KenKen, Slides

332

Alex Zorn

TBA

Strategies for Games of Chance Part I (Intermediate Level II) Handout

740

Elina Robeva

UC Berkeley

Polynomials (Advanced)

736

Dec. 1

 

Svetlana Roudenko

MSRI/George Washington

TBA (Beginner Level I)

340

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

TBA (Beginners Level II)

340

Kelli Talaska

UCB/Octopus Math

KenKen in Different Number Systems (Intermediate Level I)

332

Alex Zorn

TBA

Strategies for Games of Chance Part II (Intermediate Level II)

740

Bernd Sturmfels

UC Berkeley

CONVEX POLYTOPES (Advanced)

736

 MC3

 

Dec. 8

MC4

Svetlana Roudenko

MSRI/George Washington

Review Problems (Beginner Level I)

340

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Contest Problems Relating to Number Theory (Beginners Level II)

340

Kelli Talaska

UCB/Octopus Math

KenKen in Different Number Systems (Intermediate Level I)

332

Alon Amit

TBA

Fusible, ordinal and big numbers (Intermediate Level II)

740

Kim Eunjung

Simons

TBA (Advanced)

736

Dec. 16

MC3

Lior Pachter

UC Berkeley

End-of-year Party

Joint session for BMC-Upper: Mathematics and Biology

NOTE: End-of-the-year Event has been moved to WEDNESDAY, Dec 16 at Lawrence Hall of Science 6-8pm

Lawrence Hall of Science

Dec. 22

Winter and New Year's Break

Dec. 29

Winter and New Year's Break

Jan. 5

Winter and New Year's Break

MC4

Jan. 12

MC5

Kelli Talaska

UCB/Octopus Math

Expected Value and Games of Chance Part I (Beginner Level I) Handout

340

Zandra Vinegar

MoMath

From Light Bulbs and Switches to Talking with Satellites Part I (Beginners Level II)

340

Norm Prokup

College Preparatory School

TBA (Intermediate Level I)

332

Bernt Wahl

UC Berkeley/UC Santa Cruz

Fractals and Chaos Theory (Intermediate Level II)

740

Chris Overton

Ayasdi

TBA (Advanced)

736

 

Jan. 19

MC4

Kelli Talaska

UCB/Octopus Math

Expected Value and Games of Chance Part II (Beginner Level I) Handout

340

Zandra Vinegar

MoMath

From Light Bulbs and Switches to Talking with Satellites Part II (Beginners Level II)

340

Norm Prokup

College Preparatory School

Number Sequences, Differences, and Sums (Intermediate Level I)

332

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

AMC 10 Preparation (Intermediate Level II) Handout

740

Alexander Shapiro

UC Berkeley

Algorithms and Strategies (Advanced)

736

Jan. 26

Kelli Talaska

UCB/Octopus Math

Expected Value and Games of Chance (Beginner Level I)

340

Zandra Vinegar

MoMath

From Light Bulbs and Switches to Talking with Satellites Part III (Beginners Level II)

340

Norm Prokup

College Preparatory School

More Number Sequences, Differences, and Sums (Intermediate Level I)

334

Robert Kusner

MSRI/U. Massachusetts at Amherst

Electrons on the Sphere (Intermediate Level II)

740

Dmitry Fuchs

UC Davis

AROUND $(1+\sqrt2)^n$. (Advanced) Handout

736

Feb. 2

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Seven Bridges of Königsberg. (Beginner Level I) Handout

340

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Seven Bridges of Königsberg. (Beginners Level II)

Handout

340

Kelli Talaska

MSRI/UC Irvine

Spherical Geometry (Intermediate Level I) Handout

334

BMC Staff

BMC Staff

AMC 10A/12A Contest (Intermediate Level II)

740

BMC Staff

BMC Staff

AMC 10A/12A Contest (Advanced)

736

 

MC5

Feb. 9

MC6

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Valentine's Day Contest Problems (Beginner Level I) Handout

340

Natalya St. Clair

Harvey Mudd College and University of Wisconsin–Madison

Valentine's Day Contest Problems (Beginners Level II) Handout
 

340

Zvezdelina Stankova

BMC Director, Mills College

Multiplicative Functions, Part I (Intermediate Level I) A Decade of the Berkeley Math Circle Vol 2

334

Ted Courant

Bentley School

Patterns and Connections (Intermediate Level II) Handout
 

740

Maria Monks Gillespie

UC Berkeley

Generating Functions and Q-analogs (Advanced) Handout
 

736

Feb. 16

MC5

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Balancing scales and a selection of problems (Beginner Level I) Handout

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Balancing scales and a selection of problems (Beginners Level II) Handout

340

Zvezdelina Stankova

BMC Director, Mills College

Multiplicative Functions, Part II (Intermediate Level I)

334

Kelli Talaska

MSRI/UC Irvine

BAMO prep (Intermediate Level II)

740

Laura Pierson

BMC Participant, MC Coordinator, USAJMO Winner

Dissections and Decompositions (Advanced)

Handout

736

Feb. 23

BMC Staff

BMC Staff

BAMO 8/12 Contest BAMO 12 BAMO 8

 
MC6

Mar. 1

MC7

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Balancing Scales (Beginner Level I) Handout

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

Balancing Scales (Beginners Level II) Handout
 

340

Zandra Vinegar

MoMath

TBA (Intermediate Level I) Handout Handout

334

Norm Prokup

College Preparatory School

Review of the 2016 AMC 10 (Intermediate Level II)

740

Alex Shapiro

UC Berkeley

Euler’s Function (Advanced)

736

Mar. 3 (Thurs)

BMC Staff

BMC Staff

AIME I for Qualifiers

TBA

 

Mar. 8

MC6

Zvezdelina Stankova

BMC Director, Mills College

Freedom for the Clones, Part I (Beginner Level I)

340

Zvezdelina Stankova

BMC Director, Mills College

Freedom for the Clones, Part I (Beginners Level II)

340

Zandra Vinegar

MoMath

TBA (Intermediate Level I)

334

Norm Prokup

College Preparatory School

Review of 2016 AMC 10B Exam (Intermediate Level II)

740

Pratima Karpe

BASIS Independent School, Silicon Valley

Questions involving the Card Game SET". (Advanced)

736

Mar. 15

Zvezdelina Stankova

BMC Director, Mills College

Freedom for the Clones, Part II (Beginner Level I) Main Video

340

Zvezdelina Stankova

BMC Director, Mills College

Freedom for the Clones, Part II (Beginners Level II) Continuation And Even More!

340

Zandra Vinegar

MoMath

TBA (Intermediate Level I)

334

Vera Serganova

UC Berkeley

Cutting a Square (Intermediate Level II)

740

Dimitar Grantcharov

U. Texas at Arlington

Inequalities (Advanced)

736

Mar. 22

Spring Break

Mar. 29

Zvezdelina Stankova

BMC Director, Mills College

Freedom for the Clones Part III (Beginner Level I)

340

Zvezdelina Stankova

BMC Director, Mills College

Freedom for the Clones Part III (Beginners Level II)

340

Zandra Vinegar

MoMath

TBA (Intermediate Level I)

334

Ted Courant

Bentley School

Tantalizing Triangles (Intermediate Level II) Handout

740

Eleonora Di Nezza

MSRI/Imperial College, London

The Euler characteristic and the Gauss Bonnet theorem (Advanced)

736

MC7

Apr. 5

MC7

Ali Gurel

Star League

Math Games & Puzzles (Beginner Level I)

340

Kelli Talaska

UCB/Octopus Math

Partitions and Number Puzzles (Beginners Level II)

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

TBA (Intermediate Level I) Handout

334

Elina Robeva

UC Berkeley

USAJMO Preparation (Intermediate Level II) Handout

740

Alexander Shapiro

UC Berkeley

Chebyshev Polynomials (Advanced)

736

 

Apr. 12

MC7

Ali Gurel

Star League

Math Games & Puzzles Part II (Beginner Level I)

340

Kelli Talaska

UCB/Octopus Math

Partitions and Number Puzzles Part II (Beginners Level II)

340

Petra Munih

PhD Biophysics/Structural Biology, Brandeis/Harvard U.

TBA (Intermediate Level I)

334

Andrea Jedwab

Tehiyah Day School/Saint Mary's College

Groups and symmetry (Intermediate Level II)

740

Austin Shapiro

Proof School

Lattices and the Geometry of Numbers (Advanced)

736

Apr. 19

Ali Gurel

Star League

Math Games & Puzzles Part III (Beginner Level I)

340

Zandra Vinegar

MoMath

Proofs and Visualizations (Beginners Level II)

340

Norm Prokup

College Preparatory School

Vedic Math and Gems from Geometry (Intermediate Level I)

334

Andrea Jedwab

Tehiyah Day School/Saint Mary's College

Groups and Symmetry (Intermediate Level II)

740

Hong Chen

PhD Physics, Toronto/Radiation Oncology, Keiser

A Taste of Monte Carlo and Radiation Transport - treating cancer with radiation therapy (Advanced)

736

Apr. 19-20

BMC Staff

BMC Staff

USAMO/USAJMO for Qualifiers

TBA

Apr. 26

Roseanna Paleatere

Tulane University

A Taste of Topology (Beginners I)

340

Zandra Vinegar

MoMath

Proofs and Visualizations Part II (Beginners Level II)

340

Norm Prokup

College Preparatory School

Gems of Geometry, Part 2 (Intermediate Level I)

334

Tatiana Shubin

San Jose State U.

Combinatorics+Geometry+Algebra=Fun (Intermediate Level II)

740

Paul Zeitz

U. San Francisco

Probability, Expectation, and Random Walks Part I (Advanced) Handout

736

MC8

May. 3

 

Roseanna Paleatere

Tulane University

A Taste of Topology Part II (Beginner Level I)

340

Zandra Vinegar

MoMath

Proofs and Visualizations Part III (Beginners Level II)

340

Norm Prokup

College Preparatory School

Gems of Geometry, Part 3 (Intermediate Level I)

334

Quan Lam

UC Office of the President

Algebra, Puzzles, and Angle Trisection (Intermediate Level II)

740

Paul Zeitz

U. San Francisco

Probability, Expectation, and Random Walks Part II (Advanced) Handout

736

 

May 10

MC8

Richard Borcherds

UC Berkeley

Monster Groups Handout

Joint session for BMC-Upper

LHS