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 USA(J)MO exercises from last week
More graph theory theorems and problems, including continuation of unfinished exercises from last week.
Review of previously discussed topics, chicken mcnugget theorem, diophantine equations
Focus on Pell Equations and methods of solving via continued fractions
Introduction to arithmetic functions, a very important subject in number theory. Will cover basic properties, and famous examples
Geometry, using complex numbers
ARML-style end-of-year contest, with AMC problems to review topics we have discussed throughout the year