This class will introduce quantum chaos and it's connection to black holes and quantum gravity. We will first review chaos in classical mechanics, before turning to semi-classical chaos and random matrix theory, thermalization and the Eigenstate Thermalization Hypothesis. We will then turn to quantum gravity, and study scrambling in black holes and the butterfly effect, the bound on chaos. Finally, we will discuss spectral and operator statistics in chaotic conformal field theories and discuss gravitational wormholes.