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Subject Details
Dept     : IT
Sem      : 3
Regul    : 2023
Faculty : R . MAREESWARI
phone  : 7904785478
E-mail  : mareeswari.r.math@snsce.ac.in
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Lecture Notes

UNIT 1:
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Introduction and Application of General Fourier series
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problems based on full range series
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Tutorial 1: Problems under full range series
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Odd and even functions
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Half-range sine series
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Half range Cosine series
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Tutorial 2: problems under half range sine series
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Parseval’s identity
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Harmonic Analysis
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Tutorial 3: Problems under Half range cosine series
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Harmonic Analysis
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Introduction and Application of General Fourier series
UNIT 2:
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Introduction and Application of Fourier transforms
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Introduction and Application of Fourier transforms
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Introduction and Application of Fourier transforms
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Introduction and Application of Fourier transforms
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Parseval’s identity.
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Tutorial 1: Problems under Fourier integral theorem
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Fourier transform pair
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Fourier sine Transforms
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Fourier sine Transforms
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Properties of Fourier Transforms
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Fourier sine Transforms
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Fourier cosine Transforms
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Tutorial 2: Problems under Fourier sine and cosine Transforms
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Convolution theorem
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Transform of elementary functions
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Parseval’s identity.
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Parseval’s identity.
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Tutorial 3: Problems under Convolution theorem and Parseval’s identity.
UNIT 3:
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Introduction to Partial Differential Equation & Formation of partial differential equation
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Formation of partial differential equation
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Solutions of standard types of first order PDE
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Tutorial 1: Problems based on Formation of partial differential equations
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Solutions of standard types of first order PDE
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Standard types and Equations reducible to standard types
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Lagrange’s Linear equation
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Tutorial 2: Problems based on Lagrange’s Linear equation
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Lagrange’s Linear equation
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Solution of linear equations of second and higher order with constant coefficients
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Solution of linear equations of higher order with constant coefficients and both homogeneous equations
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Tutorial 3: Problems based on Solution of linear