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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
Course Overview
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.
Pre-requisites
- Basic mathematical Knowledge
Target Audience
- Engineering, mathematics and science major students
- Those who want to expand their mathematical knowledge
Curriculum 66 Lectures 02:26:19
-
Section 1 : Introduction
- Lecture 2 :
- Vector vs Scalar
- Lecture 3 :
- Representation of Vectors
- Lecture 4 :
- Vector Types
- Lecture 5 :
- Vector Addition
- Lecture 6 :
- Vector Subtraction & Addition Properties
- Lecture 7 :
- The Unit Vector
- Lecture 8 :
- Vector Shifting
- Lecture 9 :
- Vector Magnitude
- Lecture 10 :
- Vector Direction
-
Section 2 : Product of Vectors
- Lecture 1 :
- Section Preview
- Lecture 2 :
- Scalar Product
- Lecture 3 :
- Projection
- Lecture 4 :
- Vector Product
- Lecture 5 :
- Analytical Form of Vector Product
-
Section 3 : The Index Notation
- Lecture 1 :
- Section Preview
- Lecture 2 :
- The kronecker delta
- Lecture 3 :
- Einstein summation convention
- Lecture 4 :
- The Livi-Civita Operator
-
Section 4 : 3D Differential Operators
- Lecture 1 :
- Section Preview
- Lecture 2 :
- The Gradient
- Lecture 3 :
- The Divergence
- Lecture 4 :
- The Rotor
- Lecture 5 :
- The Laplacian
-
Section 5 : Practice The Fundamentals
- Lecture 1 :
- Section Preview
- Lecture 2 :
- Problem #1
- Lecture 3 :
- Solution for Problem #1
- Lecture 4 :
- Problem #2
- Lecture 5 :
- Solution for Problem #2
- Lecture 6 :
- Problem #3
- Lecture 7 :
- Solution for Problem #3
- Lecture 8 :
- Problem #4
- Lecture 9 :
- Solution for Problem #4
- Lecture 10 :
- Problem #5
- Lecture 11 :
- Solution for Problem #5
- Lecture 12 :
- Problem #6
- Lecture 13 :
- Solution for Problem #6
- Lecture 14 :
- Problem #7
- Lecture 15 :
- Solution for Problem #7
- Lecture 16 :
- Problem #8
- Lecture 17 :
- Solution for Problem #8
- Lecture 18 :
- Problem #9
- Lecture 19 :
- Solution for Problem #9
- Lecture 20 :
- Problem #10
- Lecture 21 :
- Solution for Problem #10
-
Section 6 : Practice The Advanced Topics
- Lecture 1 :
- Section Preview
- Lecture 2 :
- Warm up Problem
- Lecture 3 :
- Solution for The Warm up
- Lecture 4 :
- Problem #2
- Lecture 5 :
- Solution for Problem #2
- Lecture 6 :
- Solution for Problem #3
- Lecture 7 :
- Solution for Problem #4
- Lecture 8 :
- Solution for Problem #5
- Lecture 9 :
- Solution for Problem #6
- Lecture 10 :
- Solution for Problem #7
- Lecture 11 :
- Solution for Problem #8
- Lecture 12 :
- Solution for Problem #9
- Lecture 13 :
- Solution for Problem #10
- Lecture 14 :
- Problem #3
- Lecture 15 :
- Problem #4
- Lecture 16 :
- Problem #5
- Lecture 17 :
- Problem #6
- Lecture 18 :
- Problem #7
- Lecture 19 :
- Problem #8
- Lecture 20 :
- Problem #9
- Lecture 21 :
- Problem #10
Our learners work at
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Instructor
46210 Course Views
1 Courses
Zinaty is a Senior Electrical and computer engineer worked in wide range of positions:
• System performance analyst.
• Software Project manager.
• Back End Developer.
This unique career path equipped him with a various skills:
• high mathematics skills.
• system engineering.
• Project management.
• Back End developing: node.js, java, python.
• Self learning skills.
In order to gain more profound knowledge in his career, he studied the core courses of the physics major witch introduced him to new mathematical and physics concepts.
The main core for engineering is without a doubt is mathematics and physics. Therefore, in order to develop new technologies and make the world a better place, knowing the core concepts are a must.
Developing and learning new leading technologies is his truly passion. However, he believe that in order to become a better developer in the High-Tech fields, knowing mathematics and physics is a critical advantage.
He believe that the right way to grasp a concept in the different scince fields, is to practice it.
His courses will give the true opportunity to learn the theory and practice it in the most efficient way.
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