Learn Mathematical Background: Scalars and Vectors

Hey!! In this course , I gave lectures on “Mathematical Background : Scalars and Vectors “.

Watch the complete lectures to know about the Scalars and Vectors 🙂

Timestamps for the chapters in the course are as follows:

Format for Timestamp : (hh:mm:ss)

      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 4  (Question| Solution)
• 00:04:35 : Triple Product of Vectors
• 00:06:01 : Numerical 5  (Question| Solution)
• 00:10:39 : Numerical 6  (Question| Solution)

      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 9  (Question| Solution)

Lecture 5:

• 00:00:00 : Integration of Vectors (Line Integral | Surface Integral  | 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.

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  Regards

  Shivam Dangwal