An introduction to the linguistics olympiads: what they are, what kind of problems are on it, and so on. Have fun solving linguistics puzzles, and test your logic and problem solving skills!

This course introduces the infamous Fermat's Last Theorem (FLT), which remained unsolved for over 350 years despite its popularity among mathematicians. FLT claims that there are no nontrivial solutions to the equation $$x^n+y^n=z^n$$ for $$n\ge 3$$. We begin by covering the historical progress on special cases of $$n$$. We finish by introducing the concept of elliptic curves, and briefly covering the machinery that led to Andrew Wiles' proof of FLT in 1994.