The seemingly mysterious notion of "infinity" has played an important (and frequently confusing) role in mathematical thought, starting with Zeno's paradoxes in ancient Greece and culminating in a modern view which turns it into a powerful, precise concept. In this course, we'll survey some of the developments revolving around the infinite; for example, the discovery of irrational numbers, limits, fractals, and Cantor's set theory.

A survey of techniques in probability and statistics with applications to real-world scenarios. Want to know more about the economy and the physical world, and what math can say about it? Want to learn how probability works and you can solve problems with it? Join this class!

This is an introduction to higher mathematics. We will survey some of the classical ideas in mathematical history, ranging from the infinitude of the primes to the development of the complex numbers to the uncountability of the reals. The goal is to present mathematics as a cultural artifact, and we will discuss some of the history along with the proofs.