The Berkeley Math Circle

Handouts 2014-2015 (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. 2

MC1

Zvezdelina Stankova

BMC Director

Problem Solving I (Math Kangaroo Answer Table) (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Combinatorics I: An Unsolved Tiling Puzzle (An Unsolved Tiling PuzzleCounting TrianglesBorder Patterns) (Intermediate Level I)

332

Ian Le

U. of Chicago

Regular and Semi-Regular Polyhedra (Intermediate Level II)

740

Paul Zeitz

USF

If Gauss Did It, You Can Too! (Advanced)

736

Sep. 9

Zvezdelina Stankova

BMC Director

Problem Solving II (Math Kangaroo Instructions) (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Combinatorics II: An Unsolved Tiling Puzzle Continued (Intermediate Level I)

332

Alexander Shapiro

UCB

Frieze Patterns (Intermediate Level II)

740

Frank Sottile

Simons Institute/Texas A&M

Tartaglia/Cardano Solution of the Cubic Equation (Advanced)

736

Sep. 16

Zvezdelina Stankova

BMC Director

Problem Solving III (Math Kangaroo Instructions) (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Combinatorics III: Combinatorial Geometry with Stars and Hypercubes (Star CountingDefining ConvexityHigh Dimensional F-vectors,Hyperplanar Cross-Sections) (Intermediate Level I)

332

Tom Davis

San Jose Math Circle/Silicon Graphics

Projective Geometry and Computer Graphics I(Intermediate Level II)

740

Alexander Shapiro

UCB

Frieze Patterns (Advanced)

736

Sep. 23

Nadya Gurevich

MSRI/Ben-Gurion University of the Negev, Israel

Venn Diagrams: Problem Solving (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Combinatorics IV: Combinatorial Geometry with Stars and Hypercubes Continued (Intermediate Level I)

332

Tom Davis

San Jose Math Circle, Silicon Graphics

Projective Geometry and Computer Graphics II(Intermediate Level II)

740

Piotr Achinger

UCB

The Mathematics of Set (Advanced)

736

Sep. 30

Zandra Vinegar

MoMath/Proof School Incubator

Graph Theory I: Eulerian and Hamiltonian Paths(Star-CountingEulerian/Hamiltonian Paths/Cycles) (Beginner)

330

Zvezdelina Stankova

BMC Director

Geometry I (Session 1: Handout/Answers, Session 2: Handout, Session 3: Handout, Session 4: Handout/Answers, Session 5: Handout/Answers) (Intermediate Level I)

332

Cornelia Anna Van Cott

USF

Sometimes pi is 4: An investigation of non-Euclidean Metrics I (Intermediate Level II)

740

Daniel Disegni

MSRI/McGill University

Sequences (Advanced)

736

MC1

Oct. 7

MC2

Zandra Vinegar

MoMath/Proof School Incubator

Graph Theory II: Eulerian and Hamiltonian Paths Continued (Beginner)

330

Zvezdelina Stankova

BMC Director

Geometry I (Session 6: Handout/Answers, Session 7: Handout/Answers, Session 8: Handout/Answers, Session 9: Handout/Answers) (Intermediate Level I)

332

Cornelia Anna Van Cott

USF

Sometimes pi is 4: An investigation of non-Euclidean Metrics II (Intermediate Level II)

740

Gregorio Malajovich

Simons Institute/Universidade Federal do Rio de Janeiro, Brazil

Solving Polynomials of Degree > 4 (Advanced)

736

 

Oct. 14

MC1

Zandra Vinegar

MoMath/Proof School Incubator

Graph Theory III: Trees, Planar Graphs and Polytopes (Beginner)

330

Zvezdelina Stankova

BMC Director

Geometry III (Intermediate Level I)

332

Quan Lam

Office of UC President/WTMC

Number Theory - Divisibility (Intermediate Level II)

740

Jonathan Shi

Simons Institute/Cornell University

Path Problems on Graphs (Advanced)

736

Oct. 21

Zandra Vinegar

MoMath/Proof School Incubator

Graph Theory IV: Trees, Planar Graphs and Polytopes (Beginner)

330

Zsuzsanna Dansco and Stephen Morgan

MSRI/Fields Institute for Research in the Mathematical Sciences, Toronto, Canada

Constructions with straight-edge and compass and origami (Intermediate Level I)

332

Zvezdelina Stankova

BMC Director

AMC 8 Preparation (Areas of MathAnswer Table(Intermediate Level II)

740

Madhusudan Manjunath

UC Berkeley

Fun with algebraic structures (Advanced)

736

Oct. 28

Alex Zorn

UC Berkeley

Symmetry Group in 2- and 3-Dimensions, Part I(Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Human Knots and Star Braids (Intermediate Level I)

332

Lior Pachter

UC Berkeley

Erdos' Happy Ending Problem (Intermediate Level II)

740

Jarek Buczynski

Simons Institute/Institute of Mathematics of Polish Academy of Sciences

Decomposing polynomials into sums of powers(Advanced)

736

MC2

Nov. 4

MC3

Alex Zorn

UC Berkeley

Symmetry Groups in 2- and 3-Dimensions, Part II(Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Knots and Twisted Surfaces (Intermediate I)

332

Zsuzsanna Dansco

MSRI/Fields Institute for Research in the Mathematical Sciences, Toronto, Canada

Knot Theory (Intermediate Level II)

740

Paul Zeitz

University of San Francisco

If Abel did it, You can too! (Advanced)

736

 

Nov. 11

MC2

Alex Zorn

UC Berkeley

Symmetry Groups in 2- and 3-Dimensions, Part III(Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Origami and Geometric Constructions (Intermediate Level I)

332

Sam Hopkins

Simons Institute/Cornell University

AMC 8/10 Preparation (Handout #1Handout #2) (Intermediate Level II)

740

Ioannis Emiris

Simons Institute/University of Athens, Greece

Minkowski addition and Minkowski decomposition of convex lattice polygons in the plane (Advanced)

736

Nov. 18

Zandra Vinegar

MoMath/Proof School Incubator

Introduction to Cryptography (Beginner)

330

BMC Staff

BMC Staff

AMC 8 (Intermediate Level I and II)

TBA

Ted Courant

Bentley High School

Pushing the Envelope: Families of Curves in the Plane (Advanced)

736

Nov. 25

Zandra Vinegar

MoMath/Proof School Incubator

Mad Hatter Math (Beginner)

330

Vera Serganova

UC Berkeley

Topics in Number Theory (Intermediate Level I)

332

Ted Courant

Bentley High School

Pushing the Envelope: Families of Curves in the Plane (Intermediate Level II)

740

Pratima Karpe

Saint Mary's College

Bertrand's Postulate and Its Applications (Advanced)

736

MC3

Dec. 2

MC4

Zandra Vinegar

MoMath/Proof School Incubator

Counting past 1000 on your fingers (Beginner)

330

Paul Zeitz

University of San Francisco

Density I (Intermediate I)

332

Chris Overton

Ayasdi

Number Theory (Intermediate Level II)

740

Iryna Kashuba

University of Sao Paulo, Brazil

Combinatorics (Advanced)

736

 

Dec. 9

MC3

Zandra Vinegar

MoMath/Proof School Incubator

Code Combos (Beginner)

330

Paul Zeitz

University of San Francisco

Density II (Intermediate Level I)

332

Po-Shen Loh

CMU

Probability (Intermediate Level II)

740

Daniel Juteau

MSRI/Caen University

Mathematics of Peg Solitare (Boards) (Advanced)

736

Dec. 16

Frank Sottile

Simons Institute/Texas A&M

End-of-year Party: The Shape of Space

Joint session for BMC-Beginners, Intermediate I, Intermediate II, and Advanced.

Lawrence Hall of Science

Dec. 23

Winter and New Year's Break

Dec. 30

Winter and New Year's Break

MC4

Jan. 13

MC5

Ted Courant

Bentley High School

Mathematical Induction (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Cryptoanalysis ( Handout #1Handout #2Handout #3) (Intermediate I)

332

Evan Chen

Harvard University, BMC Alumnus

Set Theory (Intermediate Level II)

740

Evan O'Dorney

Harvard University, BMC Alumnus

Quadratic Forms, Ideals, and Bhargava Cubes (Advanced)

736

 

Jan. 20

MC4

Zvezdelina Stankova

BMC Director

Freedom of the Clones, Part I ( HandoutGrid #1,Grid #2) (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Cryptoanalysis, Part II ( Handout #1Handout #2,Handout #3) (Intermediate Level I)

332

Evan Chen

Harvard University, BMC Alumnus

Triangle Centers (Intermediate Level II)

740

Austin Shapiro

Quarry Lane School, BMC Alumnus

Area Dissection and the Sweeping Tangent Theorem (Advanced)

736

Jan. 27

Zvezdelina Stankova

BMC Director

Freedom of the Clones, Part II ( HandoutGrid #1,Grid #2) (Youtube: Part IPart II) (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Cryptoanalysis, Part III (Intermediate Level I)

332

Bernt Wahl

UC Berkeley

Fractals In Between Dimensions: A Gallery of Monsters (Intermediate Level II)

740

Aaron Kleinman

UC Berkeley

Bidding Games (Advanced)

736

MC5

Feb. 3

MC6

Zandra Vinegar

MoMath/Proof School Incubator

Making your own Luck: Mathematical Game Theory and Designing AI, Part I (Beginner)

330

Alex Zorn

UC Berkeley

Combinatorics and Recurrence, Part I (Intermediate I)

332

BMC Staff

BMC Staff

AMC 10/12 Contest (Intermediate II and Advanced)

TBA

 

Feb. 10

MC5

Zandra Vinegar

MoMath/Proof School Incubator

Making your own Luck: Mathematical Game Theory and Designing AI, Part II (Beginner)

330

Alex Zorn

UC Berkeley

Combinatorics and Recurrence Part II: Catalan Numbers (Intermediate Level I)

332

Zvezdelina Stankova

BMC Director

Invariants and Monovariants, Part I ( HandoutGrid #1Grid #2) (Intermediate Level II)

740

Dmitry Kleinbock

MSRI/Brandeis University

Irrationality and Equidistribution (Advanced)

736

Feb. 17

Zandra Vinegar

MoMath/Proof School Incubator

Making your own Luck: Mathematical Game Theory and Designing AI, Part III (Beginner)

330

Alex Zorn

UC Berkeley

Combinatorics and Recurrence Part III(Intermediate Level I)

332

Zvezdelina Stankova

BMC Director

Invariants and Monovariants, Part II ( HandoutGrid #1Grid #2)(Intermediate Level II)

740

Eugenia Rosu

UC Berkeley

Mixed Problems (Advanced)

736

Feb. 24

Staff

Staff

BAMO 8/12 Contest

TBA

MC6

Mar. 3

MC7

Zandra Vinegar

MoMath/Proof School Incubator

Making your own Luck: Mathematical Game Theory and Designing AI, Part IV (Beginner)

330

Dimitar Grantcharov

Univ. Of Texas Arlington

BAMO Aftermath (Intermediate I)

332

Piotr Achinger

UC Berkeley

BAMO Aftermath (Intermediate Level II)

740

Austin Shapiro

Quarry Lane School/BMC Alumnus

BAMO Aftermath (Advanced)

736

 

Mar. 10

MC6

Zvezdelina Stankova

BMC Director

Plane Geometry: Three Squares and Shortest Paths, Part I ( Handout #1Handout #2) (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Winning Games with Artificial Intelligence, Part I (Intermediate Level I)

332

Jayadev Athreya

MSRI/Illinois Geometry Lab, University of Illinois

Corners, Sides, Faces, and Holes: An Introduction to Combinatorial Topology (Intermediate Level II)

740

Lei Yang

MSRI/Ohio State University

Expressing Primes by Quadratic Forms and Quadratic Residues (Advanced)

736

Mar. 17

Zvezdelina Stankova

BMC Director

Plane Geometry: Three Squares and Shortest Paths, Part II (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Winning Games with Artificial Intelligence, Part II (Intermediate Level I)

332

Piotr Achinger

UC Berkeley

Continued Fractions (Intermediate Level II)

740

Elina Robeva

UC Berkeley

AIME Preparation (Advanced)

736

Mar. 19 (Thurs)

BMC Staff

BMC Staff

AIME I for Qualifiers

TBA

Mar. 24

Spring Break

Mar. 31

Zvezdelina Stankova

BMC Director

Plane Geometry: Three Squares and Shortest Paths, Part III (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Winning Games with Artificial Intelligence, Part III (Intermediate Level I)

332

Alon Amit

Origami Logic

Probability Paradoxes (Intermediate Level II)

740

Alexander Shapiro

UCB

Group Theory in Combinatorics (Advanced)

736

MC7

Apr. 7

MC7

Zvezdelina Stankova

BMC Director

Plane Geometry: Three Squares and Shortest Paths, Part IV (Beginner)

330

Zandra Vinegar

MoMath/Proof School Incubator

Winning Games with Artificial Intelligence, Part IV (Intermediate I)

332

Piotr Achinger

UC Berkeley

Pell's Equation (Intermediate Level II)

740

Chris Overton

Ayasdi

Algebraic Topology - how doing algebra on shapes helps you understand your data (Advanced)

736

 

Apr. 14

MC7

Zandra Vinegar

MoMath/Proof School Incubator

Computational Origami, Part I (Beginner)

330

Miklos Racz

UC Berkeley

Combinatorial Games, Part I (Intermediate Level I)

332

Ted Alper

EPGY/Stanford Math Circle

Stable Matching Theorem ( Handout #1Handout #2) (Intermediate Level II)

740

Elwyn Berlekamp

UC Berkeley

Hat Problems & Elementary Error-Correcting Codes (Advanced)

736

Apr. 21

Zandra Vinegar

MoMath/Proof School Incubator

Computational Origami, Part II (Beginner)

330

Miklos Racz

UC Berkeley

Combinatorial Games, Part II (Intermediate Level I)

332

Ali Gurel

Star League A-Star

Geometric Constructions (Intermediate Level II)

740

Richard Borcherds

UC Berkeley

Counting things up to Symmetry (Advanced)

736

Apr. 28

Zandra Vinegar

MoMath/Proof School Incubator

Computational Origami, Part III (Beginner)

330

Quan Lam

Office of UC President/WTMC

Proofs and Induction (Intermediate Level I)

332

Zvezdelina Stankova

BMC Director

Reconstructing Half of Mona Lisa...or...Extra Construction Problems in Geometry (Handout #1,Handout #2) (Intermediate Level II)

740

Nicolas Saxce

MSRI/Hebrew University

TBA (Advanced)

736

Apr. 28-29

BMC Staff

BMC Staff

USAMO/USAJMO for Qualifiers

TBA

MC8

May. 5

 

Zandra Vinegar

MoMath/Proof School Incubator

Game Theory (Beginner)

330

Bernt Wahl

UC Berkeley

Fractals In Between Dimensions: A Gallery of Monsters (Intermediate I)

332

Zvezdelina Stankova

BMC Director

TBA (Intermediate Level II)

740

Gabriel Carroll

Stanford University

Allocating Objects to People (Advanced)

736

 

May 12

MC8

Michael Luby

Simons Institute/EECS at UCB

End-of-the-year Session: A two fingered mad hatter approach to coding theory

Joint session for BMC-beginners, intermediate and advanced students

TBA