This document discusses the discovery of the accelerating expansion of the universe through observations of distant supernovae, for which the 2011 Nobel Prize in Physics was awarded. It provides background on assumptions in cosmology like the cosmological principle, homogeneous and isotropic universe, and using general relativity and the Friedmann-Robertson-Walker metric to derive equations describing the expansion. The document also summarizes how type Ia supernovae serve as standardizable candles and helped establish the Hubble diagram showing the accelerating expansion.