Learn Vector Algebra
What you will learn
Identify Physical quantities
Vector algebra,Product of vectors
Partial derivative, Gradient, Operator, Laplacian Operator, Divergence , Curl
Gauss Divergence and Stoke’s Theorem
Description
Hey!! In this course , I gave lectures on “Mathematical Background : Scalars and Vectors “.
Watch the complete lectures to know about the Scalars and Vectors π
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Β Β Β Lecture 1:
- 00:00:00 : Introduction
- 00:00:23 : Scalar Quantities (Definition, Laws of addition of scalars)
- 00:02:52 : Vector Quantities (Definition)
- 00:03:34 : Vector Notation
- 00:04:33 : Types of Vectors (Negative vectors, Equal vectors, Co-initial vectors, Collinear vectors, Zero vector, Unit vector)
- 00:07:51 : Laws of Vector addition
- 00:08:22 : Triangle Law of Vector addition
- 00:14:57 : Parallelogram law of Vector additionLecture 2:
- 00:00:00 : Vectors in Coordinate system
- 00:00:52 : Rectangular Component of Vector
- 00:01:42 : Numerical 1 (Question| Solution)
- 00:05:34 : Product of two Vectors (Scalar product and Vector product)
- 00:05:50 : Scalar Product (Detailed explanation)
- 00:08:22 : Numerical 2 (Question| Solution)
- 00:10:43 : Numerical 3 (Question| Solution)
Lecture 3:
- 00:00:00 : Vector Product (Detailed explanation)
- 00:02:09 : Numerical 4Β (Question| Solution)
- 00:04:35 : Triple Product of Vectors
- 00:06:01 : Numerical 5Β (Question| Solution)
- 00:10:39 : Numerical 6Β (Question| Solution)
Β Β Β Lecture 4:
- 00:00:00 : Differential coefficients of products of vectors
- 00:02:42 : Scalar and Vector Fields (with examples and illustration)
- 00:03:45 : Partial Derivatives (Representation and notation)
- 00:04:39 : Gradient (Representation and notation)
- 00:05:34 : Operator (Representation and notation)
- 00:07:25 : Divergence of Vector
- 00:08:55 : Curl of Vector
- 00:10:19 : Laplacian Operator
- 00:11:48 : Numerical 7 (Question| Solution)
- 00:13:27 : Numerical 8 (Question| Solution)
- 00:14:20 : Numerical 9Β (Question| Solution)
Lecture 5:
- 00:00:00 : Integration of Vectors (Line Integral | Surface IntegralΒ | Volume Integral)
- 00:01:03 : Vector Identities
- 00:02:35 : Gauss Divergence Theorem (Quantitative idea only)
- 00:03:20 : Stoke’s Theorem (Quantitative idea only)This is all about Mathematical Background: Scalars and Vectors. I hope that this course is valuable to you and your academic career.
Learning mustn’t be stopped here in Udemy .
Thanks for enrolling in this course
Regards
Shivam Dangwal
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Content
Introduction
Introduction to Scalars and Vectors
Product of two vectors
Triple Product of Vectors
Vector Algebra
Integration of vectors and its applications