MA8353 Syllabus Transforms and Partial Differential Equations

MA8353 Syllabus Transforms and Partial Differential Equations Regulation 2017 Anna University free download. Transforms and Partial Differential Equations Syllabus MA8353 pdf free download.

UNIT I PARTIAL DIFFERENTIAL EQUATIONS MA8353 Syllabus Transforms and 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 MA8353 Syllabus Transforms and Partial Differential Equations

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 MA8353 Syllabus Transforms and 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 MA8353 Transforms and Partial Differential Equations Syllabus

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 MA8353 Transforms and Partial Differential Equations Syllabus

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.

Subject name	Transforms and Partial Differential Equations
Semester	3
Subject Code	MA8353
Regulation	2017 regulation

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MA8353 Notes Transforms and Partial Differential Equations

MA8353 Important questions Transforms and Partial Differential Equations

MA8353 Question Bank Transforms and Partial Differential Equations