20-12-2015, 08:51 AM

Transforms and Partial Differential Equations Handwritten Premium Lecture Notes, Prepared by Kavi. Specially for Engineering Candidates. Syllabus Covered based on Anna University Third Semester. Common To EEE, CSE,Civil ,IT.

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UNIT-1

FOURIER SERIES

Periodic function

Fourier series

Uses of fourier series

Dirichlet condition

Even function

Odd function

Problem based on odd function

Half range sine series

Half range cosine series

Parseval’s theorem

Harmonic analysis

UNIT-2

PARTIAL DIFFERENTIAL EQUATION

Formulation of partial differential equation by elimination of arbitrary constants

Formulation of PDE by elimination of arbitrary function

Lagranges linear equation

Methods of grouping

Methods of multipliers

Higher order partial differential equation

UNIT-3

Problems on vibrating string with non – zero intial velocity

One dimensional heat equation

Two dimensional heat equation

Problems on polar co-ordination

UNIT-4

FOURIER TRANSFORM

Fourier transform pair

Shifting property

Parsevals identity

Modulation property

UNIT-5

Z- TRANSFORM AND DIFFERENTIAL EQUATION

Unit step function of z- transform

Partial fraction

Unit impulse function

Z-Transform

Standard formula

Linearty property

First shifting theorem

Differentiation in the z- domain

Second shifting theorem

Initial value theorem

Final value theorem

Inverse z- transform

Partial fraction method

Convolution theorem

Residue method

Solution of difference equation

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