MA6351 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Important Topics to Clear M3

ANNA UNIVERSITY, CHENNAI

Third Semester

UNIT I PARTIAL DIFFERENTIAL EQUATIONS

Lagrange’s linear equation

Higher order with constant coefficients of non-homogeneous type

Partial differential equations

UNIT II FOURIER SERIES

Dirichlet’s conditions

Half range sine series

Parseval’s identity

UNIT III APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS

Method of separation of variables

Steady state solution of two dimensional equation of heat conduction

UNIT IV FOURIER TRANSFORMS

Fourier sine and cosine transforms

Convolution theorem

Parseval’s identity.

UNIT V Z – TRANSFORMS AND DIFFERENCE EQUATIONS

Z- transforms

Solution of difference equations using Z – transform.