Subject Details
Dept     : CIVIL
Sem      : 2
Regul    : 2023
Faculty : Palanivel K
phone  : NIL
E-mail  : palanivl.k.math@snsct.org
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  • Lecture Notes

    Dear Students the Lecture Notes has been uploaded for the following topics:
    Cauchy’s integral theorem,
    Problems based on Cauchy’s integral formula,
    Taylor’s series,
    Zeros & Singularities of an analytic function,
    Laurent’s series,
    Residues,
    Cauchy Residue theorem,
    Definitions, properties, existence conditions,
    Transform of elementary function,
    Shifting Theorem,
    Transforms of derivatives and integrals,
    Laplace transform of periodic functions,
    Initial and final value theorem,
    Inverse Laplace transforms,
    Solution of linear second order ordinary differential equations with constant coefficients

  • Lecture Notes

    Dear Students the Lecture Notes has been uploaded for the following topics:
    Derivatives: Gradient and Directional Derivative,
    Divergence & Curl of a vector field,
    Solenoidal and Irrotational of a vector,
    Green’s theorem,
    Problems based on Green’s theorem,
    Gauss Divergence theorem,
    Problems based on Gauss Divergence theorem,
    Stoke’s theorem with problems,
    Application in evaluating line, surface and volume integrals.

  • Question Bank

    Dear Students the Question Bank has been uploaded for the following topics:
    VECTOR CALCULUS,
    VECTOR CALCULUS,
    ORDINARY DIFFERENTIAL EQUATIONS

  • Lecture Notes

    Dear Students the Lecture Notes has been uploaded for the following topics:
    Derivatives of f(z) - Analytic function,
    Cauchy-Riemann Equations,
    Harmonic Function ,
    Harmonic Conjugate,
    Construction of Analytic functions ,
    Conformal mapping,
    Mapping by functions w = c+z, w = cz , w = 1/z,
    Bilinear Transformations,
    Application to flow problems

  • Lecture Notes

    Dear Students the Lecture Notes has been uploaded for the following topics:
    Higher order linear differential equations with constant coefficients,
    Problems based on higher order linear differential equations with constant coefficients,
    Method of variation of parameters,
    Homogeneous equation of Euler’s type,
    Homogeneous equation of Legendre’s type,
    Solution of system of simultaneous linear first order differential equations with constant coefficients