Learn Basics of Complex Number from 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
