Lecture Notes || SNS Courseware

Subject Details

Dept : AIML

Sem : 2

Regul : R2023

Faculty : Saranya C

phone : NIL

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

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Lecture Notes

UNIT 1:

Derivatives: Gradient of a scalar field, 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

Problems based on Stoke’s theorem

UNIT 2:

Higher order linear differential equations with constant coefficients

Method of Variation of parameters

Euler’s Linear differential equation

Legendre’s Linear differential equation

First order linear differential equations with constant coefficients

UNIT 3:

Formation of partial differential equations

Lagrange’s linear equation

Solutions of standard types of first order partial differential equations

Linear partial differential equations of second order with constant coefficients(Homogeneous Problems)

UNIT 4:

Dirichlet’s conditions

General Fourier series

Odd and even functions

Fourier transform pair

Sine and Cosine transforms

Parseval’s Identity

Lecture Notes