ORMC Meetings • 2020-2021 Academic Year

We quickly review mathematical induction and then solve a few related problems of various levels of difficulty, from easy to very hard.

Today we will approach problems involving area computations, that should hopefully cover all necessary techniques for Olympiad problems.

Today we will discuss various standard techniques in solving diophantine equations (i.e. equations with integers). The material is for 2 weeks.

The handout is the same as last time (see Part I)

We will move on to problems 4, 5, 6... and so on today.

Today we are doing problems involving mathematical games, and talk about the method of retrograde analysis.

This lecture we continue with the same topic. We added a few extra problems

Today we will do practice problems, with no particular theme.

Today we discuss angle chasing, properties of angles inscribed in circles, and a few constructions.

We continue with the topic from last time.

Today we will discuss board problems, involving colorings, tilings and more.

Today we cover various methods of solving inequality problems.

Today we will review similarity of triangles, and we will do problems involving the Menelaus and Ceva theorems.

Today we are continuing with the topic from last time. Some of the problems in this handout are left-overs from the previous handout.