Lecture Notes || SNS Courseware

Subject Details

Dept : MCT

Sem : 2

Regul : 2019

Faculty : Ms B Abarna

phone : NIL

E-mail : abarna.b.math@snsce.ac.in

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Lecture Notes

UNIT 1:

Double integration

change of order of integration

Area as double integrals

Triple integrals

Volume as triple integrals

UNIT 2:

Introduction to vector calculus

Divergence and curl

Greens theorem

Gauss divergence theorem

Stokes theorem

UNIT 3:

Analytic functions

Properties of analytic functions

Harmonic function

Construction of analytic function

Bilinear transformation

Conformal mapping

UNIT 4:

Singular points

Residues

UNIT 5:

Introduction to Laplace transform

Properties Laplace transform

Inverse Laplace transforms

Derivatives of Laplace transform

Periodic function

Convolution theorem

Solution of ODE

Inverse Laplace transforms