Pure Math / Combinatorics and Optimization Joint Colloquium

Title: I'll prove the Fundamental Theorem of Algebra

Abstract:

Gauss proved that complex polynomials always admit a root. I'll explain how he came to that conclusion and present a proof that rigorizes his argument in a nice way. You will only need to know a little vector calculus and the intermediate value theorem. If we have time, I'll show you why a flat triangle has angles that add up to π and why a triangle on a sphere doesn't.