*** Proof of Product ***
Exploring the Essential Features of “Learn Basics of Complex Number – scratch!”
What you’ll learn
- Understand the Importance of Complex Numbers in real world.
- Define what is meant by Complex Numbers and Learn how to Represent Complex Numbers Graphically.
- Understand the meaning behind imaginary Numbers and its properties .
- Modulus of Complex Numbers and its properties.
- Polar Form of Complex Numbers and Euler’s Formula.
- Arguments of Complex Number and algebra of complex Numbers.
- Problem-Solving involving Complex Numbers.
- Algebra of Complex Numbers.
- Understand how to do different Operations on Complex Numbers in different Forms
- Learn the Exponential form of Complex Numbers.
- Solve different examples concerning each of these topics.
Requirements
- You need to be familiar with set of Real Numbers and
- be proficient to perform basic operations in indices, algebra, vectors (elementary level) and trigonometry
- Papers and a Pencil
- And lots of daydreaming imagination
Description
Imagine you are living in the 17th century. You have 7 bananas and I asked you to give me 9 bananas. How can you give ????
How can you give 9 bananas to me when you have only 7.
But, now as you are in 21st century, you can write 7 – 9 = – 2. Simple!
What, exactly, does it mean?
How can you take 9 bananas from 7? How could you have less than nothing?
What happened?
We invented a theoretical number that had useful properties. Negatives aren’t something we can touch or hold, but they describe certain relationships well (like debt).
Imaginary Number (iota) have a similar story.
Join this course to Learn how imaginary numbers came into existence, and develop an insight of Complex Numbers.
Happy Intuitive Learning !
Who this course is for:
- This course is also helpful All Logical thinkers, SAT, AP aspirants, students preparing for College entrance tests like JEE Mains and IIT JEE Advanced.
- Any student willing to learn Complex Numbers from Scratch.
- Students who are taking college-level mathematics
- Students who are taking the IGCSE/GCE ‘A’ level Mathematics
- Students who need a good foundation in Complex Numbers for University-level modules.
- Any Student who wants to learn about Complex Numbers from Scratch.
Course content
Expand all 23 lectures01:57:55
–Introducing complex Numbers
15:56
Complex Numbers- an introduction
Preview
01:03
Introduction
02:55
what are Complex Numbers ?
Preview
06:57
Complex Number System
05:01
–Why Complex Numbers ?
04:10
Why Complex Numbers ?
Preview
04:10
–Algebra of Complex Numbers
01:20:21
Powers of Iota
07:37
Powers of Iota
3 questions
Algebra of Complex Numbers
08:02
Algebra of Complex Numbers- Problems
04:03
Algebra of Complex Numbers- geometrical example
05:32
Complex Numbers as vectors
04:23
Concept of Modulus
Preview
04:43
Problems on Modulus of Complex Numbers
05:32
Problem on Modulus of Complex Numbers
04:16
Problem on Modulus of Complex Number-02
05:08
Properties of modulus of Complex Numbers
05:53
Problems on properties of modulus of complex numbers
08:39
Argument of a Complex Number
05:43
Algebra of argument of Complex Numbers
04:18
problem on argument of complex numbers
03:35
problem on argument of complex numbers-02
02:57
Algebra of Complex Numbers
2 questions
–Polar Form of Complex Numbers
17:28
Polar Form of Complex Numbers
04:50
Euler’s Formula
04:26
Problems on Polar form of complex Numbers
08:12
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