Overview

Basic Laws of Vector Algebra

Dot Product and Cross Product

Orthogonal Coordinate Systems: Cartesian, Cylindrical and Spherical Coordinate Systems

Transformations between Coordinate Systems

Gradient of a Scalar Field

Divergence of a Vector Field

Divergence Theorem

Curl of a Vector Field

Stokess Theorem

Laplacian Operator

This chapter cover CO1

Ability to describe different coordinate system and their interrelation.

Scalar

A scalar is a quantity that has only

magnitude

E.g. of Scalars:

Time, mass, distance, temperature, electrical

potential etc

Vector

A vector is a quantity that has both

magnitude and direction.

E.g. of Vectors:

Velocity, force, displacement, electric field

intensity etc.