|10/11/2020| [Show less]
Many nontrivial Olympiad problems can be solved by angle chasing. This class we covered inscribed angles, cyclic quadrilaterals, and properties of the orthocenter.
|10/18/2020| [Show less]
Directed angles, incenter/excenter lemma, problems.
|10/25/2020| [Show less]
More advanced angle chasing problems
|11/1/2020| [Show less]
Power of a Point and Radical Axis
|11/8/2020| [Show less]
Harder problems with Power of a Point
|11/15/2020| [Show less]
Today we did three challenging problems whose solutions involved Power of a Point in a fundamental way.
|11/22/2020| [Show less]
We will introduce Ceva's Theorem, Menelaus' Theorem, the Extended Law of Sines, and some basic length formulas in a triangle.
|12/6/2020| [Show less]
Two proofs of Heron's Formula; Nine-Point Circle, Euler Line, Monge's Theorem
|12/13/2020| [Show less]
Simson line configuration (including proof that Simson(P) bisects PH) and incenter touch-point configuration.
|1/10/2021| [Show less]
We will go over the winter break geometry homework and review last quarter's material, and do some Olympiad problems from other subjects if time allows.
|1/17/2021| [Show less]
Complex numbers and AIME problems
|1/24/2021|| [Show less] |
|1/31/2021|| [Show less] |
|2/7/2021|| [Show less] |
|2/21/2021| [Show less]
AIME Number Theory problems, which tend to be computational
|2/28/2021|| [Show less] |
|3/7/2021|| [Show less] |
|4/11/2021|| [Show less] |
|4/25/2021| [Show less]
reviewing the 2021 USAJMO
|5/9/2021| [Show less]
A few tricks for sums on olympiads
|5/23/2021| [Show less]
Also discussion of finite abelian groups
|6/6/2021| [Show less]
Dirichlet's theorem on arithmetic progressions, an comprehensive outline thereof
This involves many standard manipulations of sums, complex numbers, and bounding arguments