The Berkeley Math Circle
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.
| Instructor | Topic | Room |
|---|---|---|
| Kelli Talaska | Beginners I - Permutations, Combinations, and Fancy Counting in the Sea I |
Online |
| Kelli Talaska | Beginners II - Permutations, Combinations, and Fancy Counting in the Sea I |
Online |
| Selena Ding | Intermediate I - Data analysis and Introduction to Hypothesis Testing I |
Online |
| Ivan Matic | Intermediate II - Problems and Puzzles in Probability I PDF, PDF |
Online |
| Richard Borcherds | Advanced - P-adic numbers |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Kelli Talaska | Beginners I - Permutations, Combinations, and Fancy Counting in the Sea II |
Online |
| Kelli Talaska | Beginners II - Permutations, Combinations, and Fancy Counting in the Sea II |
Online |
| Selena Ding | Intermediate I - Hypothesis Testing II and Introduction to Matrices |
Online |
| Ivan Matic | Intermediate II - Problems and Puzzles in Probability II PDF, PDF |
Online |
| Peter Koroteev | Advanced - Partitions PDF, PDF |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Selena Ding | Beginners I - Introduction to Matrices I |
Online |
| Selena Ding | Beginners II - Introduction to Matrices I |
Online |
| Harry Main-Luu | Intermediate I - Plane Tiling and Optimal Social Distancing I |
Online |
| Nikhil Sahoo | Intermediate II - Bijective Proofs and Catalan Numbers |
Online |
| Roy Zhao | Advanced - 25 Point Geometry I |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Selena Ding | Beginners I - Introduction to Matrices II |
Online |
| Selena Ding | Beginners II - Introduction to Matrices II |
Online |
| Harry Main-Luu | Intermediate I - Plane Tiling and Optimal Social Distancing II |
Online |
| Nikhil Sahoo | Intermediate II - Bijective Proofs and Permutation Patterns |
Online |
| Roy Zhao | Advanced - 25 Point Geometry II |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Harry Main-Luu | Beginners I - Plane Tiling and Optimal Social Distancing I |
Online |
| Harry Main-Luu | Beginners II - Plane Tiling and Optimal Social Distancing I |
Online |
| Kelli Talaska | Intermediate I - Conditional Probability I |
Online |
| Chris Overton | Intermediate II - Undergraduate algebraic topology |
Online |
| Arkady Vaintrob | Advanced - Geometry and algebra of rigid motions I |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Harry Main-Luu | Beginners I - Plane Tiling and Optimal Social Distancing II |
Online |
| Harry Main-Luu | Beginners II - Plane Tiling and Optimal Social Distancing II |
Online |
| Kelli Talaska | Intermediate I - Conditional Probability II |
Online |
| Peter Koroteev | Intermediate II - Integer Partitions PDF, PDF |
Online |
| Arkady Vaintrob | Advanced - Geometry and algebra of rigid motions II |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Sarah Firestone | Beginners I - Quadratics and Area I & II |
Online |
| Sarah Firestone | Beginners II - Quadratics and Area I & II |
Online |
| Elysee Wilson-Egolf | Intermediate I - Graph Theory I |
Online |
| Vera Serganova | Intermediate II - Polyhedra, symmetry groups and spherical geometry I |
Online |
| Nikhil Sahoo | Advanced - The Topology of Surfaces |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Sarah Firestone | Beginners I - Quadratics and Area III & IV |
Online |
| Sarah Firestone | Beginners II - Quadratics and Area III & IV |
Online |
| Elysee Wilson-Egolf | Intermediate I - Graph Theory II |
Online |
| Vera Serganova | Intermediate II - Polyhedra, symmetry groups and spherical geometry II |
Online |
| Nikhil Sahoo | Advanced - Geometry of Curves and Surfaces |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Laura Pierson | Beginners I - Voting Systems I |
Online |
| Laura Pierson | Beginners II - Voting Systems I |
Online |
| Ellen Kulinsky | Intermediate I - Divisibility Rules and other Math Party Tricks I |
Online |
| Roy Zhao | Intermediate II - Invariants I: Colorings |
Online |
| Espen Slettnes | Advanced - Combigeo Problem Solving |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Laura Pierson | Beginners I - Voting Systems II |
Online |
| Laura Pierson | Beginners II - Voting Systems II |
Online |
| Ellen Kulinsky | Intermediate I - Divisibility Rules and other Math Party Tricks II |
Online |
| Roy Zhao | Intermediate II - Invariants II: Colorings PDF, PDF, PDF |
Online |
| Pratima Karpe | Advanced - Bases |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Ellen Kulinsky | Beginners I - Divisibility Rules and other Math Party Tricks I |
Online |
| Ellen Kulinsky | Beginners II - Divisibility Rules and other Math Party Tricks I |
Online |
| Christopher Lynch | Intermediate I - Math and Managing Money |
Online |
| Laura Pierson | Intermediate II - Combinatorial Games I |
Online |
| Pratima Karpe | Advanced - Bases II |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Ellen Kulinsky | Beginners I - Divisibility Rules and other Math Party Tricks II |
Online |
| Ellen Kulinsky | Beginners II - Divisibility Rules and other Math Party Tricks II |
Online |
| Christopher Lynch | Intermediate I - Inflation, investing and credit cards |
Online |
| Laura Pierson | Intermediate II - Combinatorial Games II |
Online |
| Michelle Chu | Advanced - King chicken theorems |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Elysee Wilson-Egolf | Beginners I - Odd & Even Numbers I |
Online |
| Elysee Wilson-Egolf | Beginners II - Odd & Even Numbers I |
Online |
| Sarah Firestone | Intermediate I - Information, Number Systems, and Computers |
Online |
| Arkady Vaintrob | Intermediate II - How many points are in a plane? |
Online |
| Charles Doran | Advanced - From Polygons to String Theory |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Elysee Wilson-Egolf | Beginners I - Odd & Even Numbers II |
Online |
| Elysee Wilson-Egolf | Beginners II - Odd & Even Numbers II |
Online |
| Sarah Firestone | Intermediate I - Information, Number Systems, and Computers II |
Online |
| Arkady Vaintrob | Intermediate II - How many points are in a plane? |
Online |
| Charles Doran | Advanced - Elliptic Curves |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Paul Zeitz | End-of-the-semester colloquium for all BMC-Upper groups
Topic: Counting Connections and the Second-Meanest Math Question of the 20th Century We start with an innocent and easy problem about cutting pizza, but then dive deeper and use this to create a truly mean-spirited multiple-choice question, one that stumped some very talented young people. We, however, will learn how to answer it correctly! Bio: Paul Zeitz has been leading math circles in Berkeley and elsewhere for over 20 years. He was a member of the first USA team to participate in the IMO, and has helped to train several IMO teams. He taught at the University of San Francisco for almost 30 years, and is one of the founders of Proof School. Approximate schedule:
The event is open to current BMC-Upper and MTRW students. Thus, only students and room-parents should log-in to the online event. Any other parents, siblings and family members who would like to join the event should watch the event through their BMC/MTRW student's account. |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Selena Ding | Beginners I - DNA: Sequence and topology I |
Online |
| Selena Ding | Beginners II - DNA: Sequence and topology I |
Online |
| Ellen Kulinsky | Intermediate I - Decimal Representations of Rational Numbers I |
Online |
| Roy Zhao | Intermediate II - Finite Plane Geometry I |
Online |
| Chris Overton | Advanced - "Groupdocu": Puzzles in group theory I |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Selena Ding | Beginners I - DNA: Sequence and topology II |
Online |
| Selena Ding | Beginners II - DNA: Sequence and topology II |
Online |
| Ellen Kulinsky | Intermediate I - Decimal Representations of Rational Numbers II |
Online |
| Roy Zhao | Intermediate II - Finite Plane Geometry II |
Online |
| Chris Overton | Advanced - "Groupdocu": Puzzles in group theory II |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Kelli Talaska | Beginners I - Expected Value I |
Online |
| Kelli Talaska | Beginners II - Expected Value I |
Online |
| Selena Ding | Intermediate I - DNA: Sequence and topology I |
Online |
| Elysee Wilson-Egolf | Intermediate II - King Chicken PDF, PDF |
Online |
| Espen Slettnes | Advanced - Cayley’s formula |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Kelli Talaska | Beginners I - Expected Value II |
Online |
| Kelli Talaska | Beginners II - Expected Value II |
Online |
| Selena Ding | Intermediate I - DNA: Sequence and topology II |
Online |
| Nikhil Sahoo | Intermediate II - Planar Graphs and Colorability I |
Online |
| Laura Pierson | Advanced - Combinatorial game theory I |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Ellen Kulinsky | Beginners I - Decimal Representations of Rational Numbers |
Online |
| Ellen Kulinsky | Beginners II - Decimal Representations of Rational Numbers |
Online |
| Zvezda Stankova | Intermediate I - Solving the 15-puzzle and Other Abstractions Part I |
Online |
| Nikhil Sahoo | Intermediate II - Planar Graphs and Colorability II |
Online |
| Laura Pierson | Advanced - Combinatorial game theory II |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Ellen Kulinsky | Beginners I - Decimal Representations of Rational Numbers II |
Online |
| Ellen Kulinsky | Beginners II - Decimal Representations of Rational Numbers II |
Online |
| Zvezda Stankova | Intermediate I - Solving the 15-puzzle and Other Abstractions Part II |
Online |
| Pratima Karpe | Intermediate II - Bases |
Online |
| Elysee Wilson-Egolf | Advanced - Generating functions |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Harry Main-Luu | Beginners I - Math Behind Transformers |
Online |
| Harry Main-Luu | Beginners II - Math Behind Transformers |
Online |
| Zvezda Stankova | Intermediate I - Solving the 15-puzzle and Other Abstractions Part III |
Online |
| Pratima Karpe | Intermediate II - Bases |
Online |
| Ivan Matic | Advanced - Problems and puzzles in probability and combinatorics |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Harry Main-Luu | Beginners I - Math Behind Transformers |
Online |
| Harry Main-Luu | Beginners II - Math Behind Transformers |
Online |
| Peter Koroteev | Intermediate I - Partitions I |
Online |
| Jueliette Bruce | Intermediate II - Doodling and Math I |
Online |
| Emiliano Gomez | Advanced - Ruler and Compass Constructions and Abstract Algebra I |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Harry Main-Luu | Beginners I - Math Behind Transformers |
Online |
| Harry Main-Luu | Beginners II - Math Behind Transformers |
Online |
| Peter Koroteev | Intermediate I - Partitions II |
Online |
| Jueliette Bruce | Intermediate II - Doodling and Math II |
Online |
| Emiliano Gomez | Advanced - Ruler and Compass Constructions and Abstract Algebra II |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Sarah Firestone | Beginners I - Sequences PDF, PDF |
Online |
| Sarah Firestone | Beginners II - Sequences PDF, PDF |
Online |
| Bernt Wahl | Intermediate I - Exploring fractals |
Online |
| Pierre Simon | Intermediate II - Invariants I PDF, PDF, PDF |
Online |
| Nikhil Sahoo | Advanced - Planar Graphs |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Sarah Firestone | Beginners I - Series PDF, PDF |
Online |
| Sarah Firestone | Beginners II - Series PDF, PDF |
Online |
| Bernt Wahl | Intermediate I - Exploring fractals |
Online |
| Pierre Simon | Intermediate II - Invariants II |
Online |
| Nikhil Sahoo | Advanced - Graph Coloring |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Pooja Rao | Beginners I - Coin flips and quantum computers |
Online |
| Pooja Rao | Beginners II - Coin flips and quantum computers |
Online |
| Sarah Firestone | Intermediate I - Trigonometry and the Unit Circle I PDF, PDF |
Online |
| Paul Zeitz | Intermediate II - Graph Theory I |
Online |
| Arkady Vaintrob | Advanced - Irrational rotations and Benford's law |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Pooja Rao | Beginners I - Coin flips and quantum computers |
Online |
| Pooja Rao | Beginners II - Coin flips and quantum computers |
Online |
| Sarah Firestone | Intermediate I - Trigonometry and the Unit Circle II |
Online |
| Paul Zeitz | Intermediate II - Graph Theory II |
Online |
| Arkady Vaintrob | Advanced - Irrational rotations and Benford's law |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Charles Doran | Beginners I - Bridges and Games: From Graphs to Codes |
Online |
| Charles Doran | Beginners II - Bridges and Games: From Graphs to Codes |
Online |
| Roy Zhao | Intermediate I - Farey Sequences I |
Online |
| Arkady Vaintrob | Intermediate II - Differences, sums, and discrete calculus I |
Online |
| Paul Zeitz | Advanced - Ramsay theory I |
Online |
| Instructor | Topic | Room |
|---|---|---|
| Charles Doran | Beginners I - Supersymmetry: From Codes to Surfaces |
Online |
| Charles Doran | Beginners II - Supersymmetry: From Codes to Surfaces |
Online |
| Roy Zhao | Intermediate I - Farey Sequences II PDF, PDF |
Online |
| Arkady Vaintrob | Intermediate II - Differences, sums, and discrete calculus II |
Online |
| Paul Zeitz | Advanced - Ramsay theory II |
Online |
