Students will have a chance to work on the 2023 USAJMO and USAMO problems in class, and then we will discuss solutions.
Introduction to graph theory.
Continuation of the graph theory worksheet from last week.
We will go over the Chicken Nugget Problem and Diophantine equations.
Introduction to the method of continued fractions and solutions of Pell equations.
Introduction to Pell's equations and strategies to solve Diophantine equations in general.
More exercises on Pell's equation. Introduction to some arithmetic functions.
Introduction of complex number method in solving geometry problems.
A contest in Olympiad format.