MA8353 Transforms And Partial Differential Equations(TPDE) 2017 Regulation Notes, Question Banks with Answers and Syllabus Anna University

Anna University MA8353 Transforms And Partial Differential Equations 2017 Regulation Notes, HandOuts, Question Banks with Answer and Syllabus.

MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS

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 - Fourier Series Solutions of one dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction.

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) – Initial and final value theorems - Convolution theorem - Formation of difference equations – Solution of difference equations using Z - transform.

 

2017 Regulation

Notes:

MA8353 TAPDE Notes - Click here 1 | Click here 2

HandOuts:

MA8353 TPDE Handouts - Click here

Question Bank:

MA8353 TPDE QBank - Click here

2013 Regulation

Question Bank:

MA6351 TPDE QBank - Click here

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