MA7154 Advanced Mathematical Methods Scanned Lecture Notes (All Units) Ashok Edition

  • 3Jan
  • 2015
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    AFFILIATED INSTITUTIONS
    ANNA UNIVERSITY :: CHENNAI 600 025
    REGULATIONS - 2013
    M.E. STRUCTURAL ENGINEERING
    MA7154 Advanced Mathematical Methods
    Scanned Lecture Notes (All Units)

    Advanced Mathematical Methods Scanned Premium Lecture Notes from Reputed Institutions and Faculties, Contains All Units. Syllabus is Based on Anna University , Post Graduate M.E. Structural Engineering R2013 Regulations.

    Content :
    UNIT-1

    Laplace transform
    First shifting theorem
    Change of scale property
    Initial value theorem
    Transform of Bessel function
    Unit step function on Heaviside function
    Inverse laplace transform
    Complex inversion formulae or mellin fourier transform
    Convolution theorem 
    Wave equation
    One dimensional heat equation
    Two dimensional heat equation

    UNIT-2
    Fourier transform
    Parsavel identity
    Differentiation of fourier sin and cosine

    UNIT-3
    Variational function
    Geotesices
    Functional dependent on higher order derivations
    Functional dependent on function several independent variable
    Variational problem with moving boundaried
    Constrains in the form of function
    Rayleigh –ritz method

     UNIT-4
    CONFORMAL MAPING
    Transformation
    1. Translation
    2. Magnification
    Magnification rotate and translate
    Inversion and reflection
    Schwartz-christoftel transformation
    Application of conformal mapping
    Dirichlets problem for the unit circle

    UNIT-5
    Tensor analysis
    Kronecker delta
    Contravarient tensor
    Addition of 2 tensor
    Contraction of tensor
    Quotient law
    Symmetric and skew symmetric tensor
    Matric tensor
    Associate tensor
    Christofel symbol
    Derivational of the fundamental tensor
    Transformation of christofel symbol
    Co-varient derivative of a co-varient vector
    Curl of a co-varient vector
    Co-varient derivation of a contravarient vector
    Divergent of a contra-varient vector

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