Prerequisite

Multi-variable Calculus, Basic Partial Differential Equation, Basics of Riemannian Geometry(optional)

Abstract

The course introduces hyperbolic partial differential equations and conservation laws from both historical and modern perspectives, focusing on important examples rather than general theory. The classical concepts such as characteristics and Riemann invariant plays an indispensable role in the recent development, including black holes in relativity and shocks in gas dynamics.