Vector Calculus

Gradient , Divergence and Curl of a Vector


What you'll learn
Basic concepts of Vectors
Scalar and Vector point functions
Directional Derivatives
Geometrical interpretation of vectors
Geometrical Interpretation of Gradient of scalar point function
Gradient
Divergence and Curl of a vector
Divergence and Curl of a vector
Del Operator
Laplacian operator
Solenoidal vector
Irrotational vector
Important various results and Expected Theorems and based Assignments

Requirements
Vectors
Unit vector
Direction cosines
Partial Derivatives
Cross Product of Vectors
Dot Product of vectors

Description
In this course, the student will learn about the following topics: Basic concepts of Vectors Scalar and Vector point functions Constant Vectors Directional Derivatives Tangent Plane and Normal, Level Surfaces Geometrical interpretation of vectors Geometrical Interpretation of Gradient of scalar point function Gradient, Divergence, and Curl of a vector Del Operator & Laplacian operator Solenoidal vector & Irrotational vector Important various Results, Expected Theorems, and Based AssignmentIf you need any help in understanding the topics or If you have any queries, feel free to revert back. The instructor is always there to help

Overview
Section 1: Basic Concepts of Vector Calculus

Lecture 1 Introduction

Lecture 2 Basic Concepts Lesson 2

Lecture 3 Constant Vectors Lesson 1

Lecture 4 Constant Vectors Lesson 2

Lecture 5 Constant Vectors Lesson 3

Section 2: Directional Derivatives , GRADIENT , DIVERGENCE AND CURL of a vector.

Lecture 6 Geometrical Significance of Scalar And Vector Point Function

Lecture 7 Directional Derivatives

Lecture 8 Introduction of Del Operator

Lecture 9 Geometrical Interpretation of a Gradient of a Scalar Point Function

Lecture 10 Gradient of a Scalar Point Function ( Examples )

Lecture 11 Tangent Plane and Normal

Lecture 12 Divergence and Curl of a Vector

Section 3: Assignments on Solenoidal Vector , Irrotational Vector , Laplacian Operator.

Lecture 13 Assignment 1

Lecture 14 Assignment 2

Lecture 15 Assignment 3

Lecture 16 Assignment 4

Lecture 17 Assignment 5

Lecture 18 Assignment 6

Lecture 19 Assignment 7

Lecture 20 Assignment 8

Lecture 21 Assignment 9

Lecture 22 Assignment 10

Lecture 23 Assignment 11

Lecture 24 Assignment 12

Lecture 25 Assignment 13

Lecture 26 Assignment 14

Graduates,Post Graduates,Engineering students,Physics Students,Students of Mathematical Sciences