|10/6/2019| [Show less]
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.
|10/13/2019| [Show less]
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.
|10/20/2019| [Show less]
We solve a couple of introductory problems to Graph Theory and several harder ones. The lesson spans over two weeks.
|10/27/2019| [Show less]
We continue the lesson from last week with a few Olympiad-type problems in Graph Theory.
|11/3/2019| [Show less]
We discuss various techniques for solving problems involving integer inequalities, specific to Olympiad Number Theory.
|11/10/2019| [Show less]
We continue the lecture from last time, with a few additional Olympiad-type Number Theory problems.
|11/17/2019| [Show less]
We define convexity, convex hulls and triangulations, then solve a few Olympiad-type problems in Geometric Combinatorics.
|11/23/2019| [Show less]
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.
|1/12/2020| [Show less]
We state and prove Ceva's theorem, then solve a few Olympiad-type problems.
|1/19/2020| [Show less]
The students took a 2-hour long practice exam for BAMO-type competitions. There were 3 problems (in Geometry, Combinatorics and Number Theory).
|1/26/2020| [Show less]
Today we discussed the solutions for Practice Exam 1, and then solved three other problems.
|2/2/2020| [Show less]
The students took an Olympiad-style practice exam with 3 problems (in Geometry, Algebra, and Combinatorics).
|2/9/2020| [Show less]
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)
|2/23/2020| [Show less]
We solve five final practice problems for the Bay Area Mathematical Olympiad.
|3/1/2020| [Show less]
We introduce and study the basic properties of complex numbers, with the goal of using them to solve geometry problems.