Subject Details
Dept     : AUTO
Sem      : 2
Regul    : 2023
Faculty : Sathya .S
phone  : NIL
E-mail  : sathyas.snsctmaths@gmail.com
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  • Lecture Notes

    Dear Students the Lecture Notes has been uploaded for the following topics:
    Definitions, properties, existence conditions,
    Transforms of derivatives and integrals,
    Transform of elementary function,
    Shifting Theorem,
    Laplace transform of periodic functions,
    Inverse Laplace transforms,
    Solution of linear second order ordinary differential equations with constant coefficients,
    Initial and final value theorem

  • Resource Link

    Dear Students the Resource Link has been uploaded for the following topics:
    GAUSS DIVERGENCE THEOREM
    STOKES THEOREM

  • Puzzles

    Dear Students the Puzzles has been uploaded for the following topics:
    PUZZLE 1,
    PUZZLE 2

  • 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:
    PART A,
    PART B,
    PART A

  • Assignment

    Assignment topic is Case Study on any one topic of Vector Calculus and due date is 22-05-2024.

  • Resource Link

    Dear Students the Resource Link has been uploaded for the following topics:
    conformal mapping
    Standard Transformations

  • 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,
    Bilinear Transformations,
    Mapping by functions w = c+z, w = cz , w = 1/z,
    Application to flow problems

  • 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

  • Resource Link

    Dear Students the Resource Link has been uploaded for the following topics:
    LINEAR FIRST ORDER ODE WITH CONSTANT COEFFICIENT

  • 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,
    Homogeneous equation of Euler’s type,
    Homogeneous equation of Legendre’s type,
    Method of variation of parameters,
    Solution of system of simultaneous linear first order differential equations with constant coefficients