Providing a foundational knowledge about partial differential equations (PDEs), classification of PDEs, emergence of initial value, boundary value problems and initial boundary value problems. Developing students’ understandings of the solution methods of partial differential equations

The definition, classification, derivation, physical examples of Partial Differential Equations (PDEs), Pfaffian differential equations , first-order linear partial differential equations, finding the integral surface passing through a given curve, first-order nonlinear equations, introduction to characteristic strips, strip manifold, first-order nonlinear partial derivative differential equations, high-order nonlinear partial derivative differential equations, constant coefficient linear equations, constant coefficient second-order partial derivative differential equations, and nonhomogeneous linear differential equations.