Lecture Notes || SNS Courseware

Subject Details

Dept : IT

Sem : 2

Regul : R2019

Faculty : Dr.A.Viswanathan

phone : NIL

E-mail : deansandh@snsct.org

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Lecture Notes

UNIT 1:

Change of order of integration

Double integration (Cartesian co-ordinates)

Triple Integration (Cartesian co-ordinates)

UNIT 2:

Derivatives: Gradient of a scalar field. Directional derivative

Divergence of a vector field – Curl of a vector field

Solenoidal and Irrotational of a vector

Problems based on Greens theorem

Gauss Divergence Theorem

Problems based on Stokes Theorem

UNIT 3:

Derivatives of f(z) – Analytic function

Harmonic function

Conformal Mapping

Mobius transformations

Construction of Analytic function

UNIT 4:

Cauchy’s integral theorem

Taylor’s series

Laurent’s series

Cauchy Residue theorem

UNIT 5:

Conditions -Transforms of standard functions , Properties

Inverse Laplace transforms

Laplace transform of periodic functions

Transforms of derivatives and integrals

Convolution theorem

Applications to solution of linear ordinary differential equations of second order with constant coefficients

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