Master Vector Algebra: The Practical Guide
4.4 (5 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
768 students enrolled

Master Vector Algebra: The Practical Guide

Master Vectors: Addition & Subtraction, Scalar & Cross Product, Levi-Civita, Vector Differential Operators and more
4.4 (5 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
768 students enrolled
Created by Salih Zinaty
Last updated 12/2019
English
English [Auto]
Current price: $11.99 Original price: $19.99 Discount: 40% off
3 days left at this price!
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This course includes
  • 2.5 hours on-demand video
  • 20 articles
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What you'll learn
  • Fundamentals of vector algebra: vector addition & subtraction
  • Scalar Product
  • Vector Product
  • Vector Projection
  • The Levi-Civita Operator
  • Differential Operators
  • Fully solved problems
Requirements
  • Basic mathematical Knowledge
  • Passion for learning and gaining new skills
Description

Vector algebra is an Essential Topic for most science fields like engineering, mathematics and physics with a critical use.

in physics, we use the vectors to describe velocity, momentum, acceleration, position, etc.

this course will cover the fundamentals of the vector algebra and implementation of vectors algebra in a various field in mathematics.


gaining the maximal benefit in this course will be through practicing. in every exercise you need to try figure out how to solve before watching the solution.

you will definitely have a hard time trying to figure out how to solve it. However, when you got the "Ah,Ha" moment sure you will feel the passion to continue practicing.   

Who this course is for:
  • Engineering, mathematics and science major students
  • Those who want to expand their mathematical knowledge
  • High School students
Course content
Expand all 66 lectures 02:27:44
+ Introduction
10 lectures 18:23
Representation of Vectors
01:27
Vector Types
02:10
Vector Addition
01:49
Vector Subtraction & Addition Properties
02:10
The Unit Vector
01:28
Vector Shifting
02:11
Vector Magnitude
01:33
Vector Direction
00:52
+ Product of Vectors
5 lectures 25:18
Section Preview
00:20
Scalar Product
03:42
Projection
05:31
Vector Product
04:52
Analytical Form of Vector Product
10:53
+ The Index Notation
4 lectures 13:37
Section Preview
00:29
The kronecker delta
03:03
Einstein summation convention
03:41
The Livi-Civita Operator
06:24
+ 3D Differential Operators
5 lectures 07:39
Section Preview
01:20
The Gradient
01:11
The Divergence
01:53
The Rotor
01:42
The Laplacian
01:33
+ Practice The Fundamentals
21 lectures 35:21
Section Preview
00:15
Problem #1
00:07
Problem #2
00:04
Solution For Problem #2
01:34
Problem #3
00:09
Solution For Problem #3
10:46
Problem #4
00:05
Solution For Problem #4
01:57
Problem #5
00:08
Solution For Problem #5
04:12
Problem #6
00:02
Solution For Problem #6
01:58
Problem #7
00:05
Solution For Problem #7
04:47
Problem #8
00:02
Solution For Problem #8
01:14
Problem #9
00:04
Solution For Problem #9
01:26
Problem #10
00:00
Solution For Problem #10
01:51
+ Practice The Advanced Topics
21 lectures 47:25
Section Preview
00:19
Warm up Problem
00:02
Problem #2
00:02

Prove:

(A x B ) (C x D) = (AC)(BD) - (AD)(BC)

A,B,C,D are vectors

Solution for Problem #2
06:26
Problem #3
00:05
Solution for Problem #3
08:30
Problem #4
00:02
Solution for Problem #4
07:26
Problem #5
00:03
Solution for Problem #5
01:54
Problem #6
00:04
Solution for Problem #6
02:46
Problem #7
00:02
Solution for Problem #7
04:05
Problem #8
00:03
Solution for Problem #8
03:08
Problem #9
00:03
Solution for Problem #9
08:52
Problem #10
00:02
Solution for Problem #10
02:20