This course aims to acquaint students with the fundamental structures of Partial Differential Equations first order and second order equations. Students will be familiar with classification of equations, linear first order equations, Cauchy problem for quasilinear first order equations, higher order Partial Differential Equations, wave and heat equations.

Introduction to classification of equations, linear first order equations, method of langrange, Cauchy problem for quasilinear first order equations, linear second order equations, hyperbolic, parabolic and elliptic equations.