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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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It's simple. When you sign up, you'll immediately have unlimited viewing of thousands of expert courses, paths to guide your learning, tools to measure your skills and hands-on resources like exercise files. There’s no limit on what you can learn and you can cancel at any time.Are these video based online self-learning courses?
Yes. All of the courses comes with online video based lectures created by certified instructors. Instructors have crafted these courses with a blend of high quality interactive videos, lectures, quizzes & real world projects to give you an indepth knowledge about the topic.Can i play & pause the course as per my convenience?
Yes absolutely & thats one of the advantage of self-paced courses. You can anytime pause or resume the course & come back & forth from one lecture to another lecture, play the videos mulitple times & so on.How do i contact the instructor for any doubts or questions?
Most of these courses have general questions & answers already covered within the course lectures. However, if you need any further help from the instructor, you can use the inbuilt Chat with Instructor option to send a message to an instructor & they will reply you within 24 hours. You can ask as many questions as you want.Do i need a pc to access the course or can i do it on mobile & tablet as well?
Brilliant question? Isn't it? You can access the courses on any device like PC, Mobile, Tablet & even on a smart tv. For mobile & a tablet you can download the Learnfly android or an iOS app. If mobile app is not available in your country, you can access the course directly by visting our website, its fully mobile friendly.Do i get any certificate for the courses?
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Instructor
46303 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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