Students will start learning set theory.
We are going to explore the concept of induction, and apply it to the tower of Hanoi. Further, we are going to talk about combinations, permutations, and binomial coefficients.
We are going to explore many aspects and applications of induction, in divisibility problems, inequalities, visual and geometry problems, and puzzles.
We are going to take a look into the basics of error correcting codes. In other words, we are going to think of smart ways to encode and decode messages such that slight errors that may alter our message during transmission won't affect the receivers ability to interpret it.
We will look into some interesting graph theory problems, along with a surprising application.
We are going to apply some of our Graph Theory skills to playing the games of Sim and Sprouts and solve related problems.
Probability and Statistics