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MA6351 TPDE (All Units) Scanned Lecture Notes - Kamalapriya Edition
#1


   
Anna University , Chennai


Common to all Department
Third Semester
MA6351 Transforms and Partial Differential Equations
Scanned Lecture 


(Regulation 2013)

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Syllabus :
TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATION

UNIT-1
FOURIER SERIES
UNIT-2
APPLICATION OF PARTIAL DIFFERENTIAL EQUATION
UNIT-3
FOURIER TRANSFORM
UNIT-4
Z-TRANSFORM
UNIT-5
PARTIAL DIFFERENTIAL EQUATION

Content :
UNIT-1
FOURIER SERIES
Periodic function
Sum of fourier series
Parsevals identity
Half range cosine series
Half range sine series
Half range sine series (0,l)
Half range sine series (0,PI)
Harmonic analysis

UNIT-2
APPLICATION OF PARTIAL DIFFERENTIAL EQUATION
CLASSIFICATION OF PDE
One dimensional wave equation
One dimensional heat equation
Two dimensional heat equation

UNIT-3
FOURIER TRANSFORM
Parsevals identity
Change of scale propertity
Shifting propertity
Modulation property
Modulation property
Cosine transform

UNIT-4
Z-TRANSFORM
Shifting theorem
Initial value theorem
Final value theorem
Inverse z-transform
Formation of difference equation

UNIT-5
PARTIAL DIFFERENTIAL EQUATION
Formation of PDE
Formation of PDE by eliminating arbitrary function
Clairaut’s form
Standard type problems
Second order partial diff equation

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