# [PDF] MA6351 Transforms And Partial Differential Equations (TPDE) 2013 Regulation Syllabus and Question Banks/Important Questions for Anna University Students

Last updated on Sep 4, 2023

## Syllabus

MA6351 Transforms And Partial Differential Equations

- UNIT I PARTIAL DIFFERENTIAL EQUATIONS: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.
- 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 waveequation – One dimensional equation of heat conduction – Steady state solution of two dimensionalequation of heat conduction (excluding insulated edges).
- UNIT IV FOURIER TRANSFORMS:Statement of Fourier integral theorem – Fourier transform pair – Fourier sine andcosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval‟sidentity.
- 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 usingZ - transform.

## Study Materials

Question Banks/Important Questions

1 | QBank | Download |