10/6/2019 | We will discuss a few properties concerning representations of nonnegative integers and rationals in a general base (such as divisibility criteria), and particularly in base 10. Then we will apply this knowledge to several Olympiad-type Number Theory problems.
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10/13/2019 | We will solve a variety of geometry problems involving the computation of a length or an area, or using notions about areas to prove an identity. The problems range in difficulty from introductory to fairly challenging.
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10/20/2019 | We solve a couple of introductory problems to Graph Theory and several harder ones. The lesson spans over two weeks. [Show less] |

10/27/2019 | We continue the lesson from last week with a few Olympiad-type problems in Graph Theory. [Show less] |

11/3/2019 | We discuss various techniques for solving problems involving integer inequalities, specific to Olympiad Number Theory. [Show less] |

11/10/2019 | We continue the lecture from last time, with a few additional Olympiad-type Number Theory problems. [Show less] |

11/17/2019 | We define convexity, convex hulls and triangulations, then solve a few Olympiad-type problems in Geometric Combinatorics. [Show less] |

11/23/2019 | We define and discuss basic concepts from trigonometry, including the law of sines and the law of cosines. We then apply these notions to solving several Olympiad-type geometry problems. [Show less] |

1/12/2020 | We state and prove Ceva's theorem, then solve a few Olympiad-type problems. [Show less] |

1/19/2020 | The students took a 2-hour long practice exam for BAMO-type competitions. There were 3 problems (in Geometry, Combinatorics and Number Theory). [Show less] |

1/26/2020 | Today we discussed the solutions for Practice Exam 1, and then solved three other problems. [Show less] |

2/2/2020 | The students took an Olympiad-style practice exam with 3 problems (in Geometry, Algebra, and Combinatorics). [Show less] |

2/9/2020 | Today we went through the solutions for the practice exam, and we solved a few extra problems in class. Next time there will be **no class **(President's Day) [Show less] |

2/23/2020 | We solve five final practice problems for the Bay Area Mathematical Olympiad. [Show less] |

3/1/2020 | We introduce and study the basic properties of complex numbers, with the goal of using them to solve geometry problems. [Show less] |