The measure theoretic entropy of an iterated map on a probability space measures the average amount of information obtained in one iteration. Inspired by this, one can define the topological entropy of a map on a compact metric space, which describes the exponential growth rate of the number of distinguishable orbit segments. The Variational Principle describes how these notions of entropy are related. I will introduce entropy in both contexts and discuss the proof of the Variational Principle. Speaker(s): Samantha Pinella (UM)