Credits 3. 3 Lecture Hours.

Introduction to basic theory and numerical methods for first order nonlinear partial differential equations; basic existence-uniqueness theory for scalar conservation laws; special equations and systems of interest in various applications and Riemann problem solutions for such systems; design of numerical methods for general hyperbolic systems; stability and convergence properties of numerical methods.
Prerequisite: MATH 610 or MATH 612 or approval of instructor.