[PDF] MA8353 Transforms and Partial Differential Equations (TPDE) 2017 Regulation Syllabus, Notes and Question Banks/Important Questions for Anna University Students

Formation of partial differential equations – Singular integrals - Solutions of standard types of firstorder partial differential equations - Lagrange’s linear equation - Linear partial differential equations ofsecond and higher order with constant coefficients of both homogeneous and non-homogeneoustypes.

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series –Half range cosine series – Complex form of Fourier series – Parseval’s identity – Harmonic analysis.

Classification of PDE – Method of separation of variables - Fourier Series Solutions of onedimensional wave equation – One dimensional equation of heat conduction – Steady state solution oftwo dimensional equation of heat conduction.

Statement of Fourier integral theorem – Fourier transform pair – Fourier sine andcosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’sidentity.

Z-transforms - Elementary properties – Inverse Z-transform (using partial fraction and residues) –Initial and final value theorems - Convolution theorem - Formation of difference equations – Solutionof difference equations using Z - transform.