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:
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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