[PDF] MA6351 Transforms And Partial Differential Equations (TPDE) 2013 Regulation Syllabus 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 - Solutions of one dimensional waveequation – One dimensional equation of heat conduction – Steady state solution of two dimensionalequation of heat conduction (excluding insulated edges).

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) –Convolution theorem - Formation of difference equations – Solution of difference equations usingZ - transform.