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ma8353 mcq | ma8353 transforms and partial differential equations | ma8353 | CHROME TECH

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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 functio 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 Property 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.
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transforms and partial differential equations








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