Lecture Notes || SNS Courseware

Subject Details

Dept : ECE

Sem : 2

Regul : 2023

Faculty : C.Saminathan

phone : NIL

E-mail : saminathan.c.math@snsct.org

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Lecture Notes

UNIT 1:

Solenoidal and Irrotational of a vector

Derivatives: Gradient and Directional Derivative.

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.

Derivatives: Gradient and Directional Derivative

UNIT 2:

Higher order linear differential equations with constant coefficients

Problems based on higher order linear differential equations with constant coefficients

Homogeneous equation of Legendre’s type

Solution of system of simultaneous linear first order differential equations with constant coefficients

Method of variation of parameters

UNIT 3:

Derivatives of f(z) - Analytic function

Cauchy-Riemann Equations

Harmonic Function

Harmonic Conjugate

Construction of Analytic functions

Conformal mapping

Bilinear Transformations

Lecture Notes