MA6351 Transforms And Partial Differential Equation Hand Written Lecture Notes - Kavi Edition

  • 20Dec
  • 2015
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    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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