MA6351 Transforms and Partial Differential Equations (TPDE) Syllabus

UNIT  I   PARTIAL DIFFERENTIAL EQUATIONS                                   

Formation of partial differential equations – Singular integrals — Solutions of standard types of first order partial differential equations -Lagrange‟s linear equation — Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.

UNIT  II   FOURIER SERIES                                             

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.

UNIT  III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS   

Classification of PDE – Method of separation of variables – Solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction (excluding insulated edges).

UNIT  IV   FOURIER TRANSFORMS                         

Statement of Fourier integral theorem – Fourier transform pair – Fourier sine and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval‟s identity.

UNIT  V Z – TRANSFORMS AND DIFFERENCE EQUATIONS                               

Z- transforms – Elementary properties – Inverse Z – transform (using partial fraction and residues) – Convolution theorem – Formation of difference equations – Solution of difference  equations using Z – transform.

MA6351 Transforms and Partial Differential Equations (TPDE) Question Papers Collections

• Last 5 Years Anna University Question Papers Collection – DOWNLOAD

• Collection 2 – DOWNLOAD

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