MAT 222 2.0 Partial Differential Equations

Course:  MAT 222 2.0 Partial Differential Equations (Compulsory)

Course Content:

Basic concepts and definitions, Initial boundary conditions, Derivation of Partial Differential Equations (Wave equation, Heat equation), Characteristic equation and Canonical forms of second order PDEs, Solutions of Initial Boundary Value problems (Heat equation, Wave equation, etc.), Piecewise Continuity, Periodic functions, Even and Odd Functions and standard results on Definite Integrals, Convergence of Fourier Series and Dirichlet conditions, Fourier Half-Range Series (Fourier Cosine Series and Fourier Sine Series, Definition and Properties of Laplace and Inverse Laplace Transforms, Laplace Transforms of Derivatives, Application of Laplace Transforms in solving Differential Equations, Fourier Transforms, Fourier Sine and Fourier Cosine Transforms, Fourier Transformation of Derivatives, Application of Fourier Transforms in solving Partial Differential Equations

Recommend Readings: 

1. 1. Kreyszig, E. Advanced Engineering Mathematics. (9^th ed.). John Willey and Sons, Inc..
   2. Rao, K.S.(2011). Introduction to Partial Differential Equations.(3^rd ed.).PHI Learning Private Ltd,New Delhi.
   3. Trim, D.W.(1990).Applied Partial Differential Equations.Pws Pub.