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MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes Download MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes Download
Department  Civil Engineering
Year 2nd Year
Semester 3rd Semester
University Anna University
Regulation  R2017
Subject Code MA8353
Subject Name TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
Download File MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

 

 

MA8353 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Syllabus

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.

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TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS Lecture Notes Download

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