Basic concepts of Complex Numbers :Algebra of Complex Number

Basic concepts of Complex Numbers :Algebra of Complex Number, available at $74.99, has an average rating of 4.8, with 71 lectures, 3 quizzes, based on 5 reviews, and has 1263 subscribers.

You will learn about Students will learn complete knowledge of complex numbers. This course is ideal for individuals who are Students pursing class 11th and preparing for competition exams like IIT JEE,NDA etc. It is particularly useful for Students pursing class 11th and preparing for competition exams like IIT JEE,NDA etc.

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Summary

Title: Basic concepts of Complex Numbers :Algebra of Complex Number

Price: $74.99

Average Rating: 4.8

Number of Lectures: 71

Number of Quizzes: 3

Number of Published Lectures: 71

Number of Published Quizzes: 3

Number of Curriculum Items: 74

Number of Published Curriculum Objects: 74

Original Price: ₹3,299

Quality Status: approved

Status: Live

What You Will Learn

Students will learn complete knowledge of complex numbers.

Who Should Attend

Students pursing class 11th and preparing for competition exams like IIT JEE,NDA etc.

Target Audiences

Students pursing class 11th and preparing for competition exams like IIT JEE,NDA etc.

Complex numbers is one of the most important topics of mathematics.This course has been designed in such a way that even a beginner will understand the concepts easily and develop confidence to attempt unsolved exercises.All definitions and formulae have been discussed in detail in lucid manner with suitable examples.

The course is thoughtfully structured and organised. The topics covered are

Introduction and integral powers of iota
Real and imaginary parts of complex numbers & equality of complex numbers
Addition and subtraction of complex numbers and their properties
Multiplication and division of complex numbers & conjugate of complex number and properties
Modulus of complex number and properties
Square root of complex number
Cube root of unity and its properties
Geometrical representation of a complex number
Method of finding argument
Geometrical representation of addition, subtraction, multiplication and division
Properties of argument of a complex number
Exponential form of a complex number (Euler’s Formula)
Geometrical Representation of conjugate of a complex number
Distance formula,Internal and External division formula, Equation of Circle
De-Moivre’s Theorem

I am sure that this course will be create a strong platform for students for their academic course and those who are planning for appearing in competitive exams and studying higher Mathematics.

You will also get a good support in Q&A section . It is also planned that based on your feed back, new material and more questions will also be added to the course. Hope the course will develop better understanding and boost the self confidence of the students.

Waiting for you inside the course!

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Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction and integral powers of iota

Lecture 2: Example 1

Lecture 3: Example 2

Lecture 4: Example 3

Lecture 5: Example 4

Lecture 6: Example 5

Lecture 7: Example 6

Chapter 2: Complex Numbers

Lecture 1: Real and imaginary parts of complex numbers & equality of complex numbers

Lecture 2: Addition and subtraction of complex numbers and their properties

Lecture 3: Multiplication and division of complex numbers & conjugate of complex number a

Lecture 4: Modulus of complex number and properties

Lecture 5: Square root of complex number

Lecture 6: Example-1

Lecture 7: Example -2

Lecture 8: Example -3 & 4

Lecture 9: Example -5

Lecture 10: Example -6

Lecture 11: Example -7

Lecture 12: Example -8

Lecture 13: Example -9

Lecture 14: Example – 10

Lecture 15: Example – 11

Lecture 16: Example – 12

Lecture 17: Example – 13

Lecture 18: Example – 14

Lecture 19: Example – 15

Lecture 20: Example- 16

Lecture 21: Example -17

Lecture 22: Example-18

Lecture 23: Example-19

Lecture 24: Example-20

Chapter 3: Cube Root of Unity

Lecture 1: Cube roots of unity and its properties

Lecture 2: Example -1 to 3

Lecture 3: Example-4

Lecture 4: Example -5

Lecture 5: Example 6

Lecture 6: Example -7

Lecture 7: Example-8

Lecture 8: Example-9

Lecture 9: Example – 4

Chapter 4: Representation of a complex number

Lecture 1: Geometrical representation of a complex number

Lecture 2: Method of finding argument

Lecture 3: Geometrical representation of addition,subtraction,multiplication and division

Lecture 4: Properties of argument of a complex number

Lecture 5: Exponential form of a complex number (Euler's Formula)

Lecture 6: Geometrical Representation of conjugate of a complex number

Lecture 7: Distance formula,Internal and External division formula, Equation of Circle an

Lecture 8: Q.no. 1

Lecture 9: Q.no. 2

Lecture 10: Q.no. 3

Lecture 11: Q.no. 4

Lecture 12: Q.no.5

Lecture 13: Q.no.6

Lecture 14: Q.no.7

Lecture 15: Q.no.8

Lecture 16: Q.no.9

Lecture 17: Q.no.10

Lecture 18: Q.no.11

Chapter 5: De-Moivre's Theorem

Lecture 1: De-Moivre's Theorem

Lecture 2: Example 1

Lecture 3: Example 2

Lecture 4: Example 3

Lecture 5: Example 4

Lecture 6: Example 5

Lecture 7: Example-6

Lecture 8: Example-7

Lecture 9: Example-8

Lecture 10: Example-9

Lecture 11: Example-10

Chapter 6: Quizzes and Practice Sheets

Lecture 1: Practice Sheet-1

Lecture 2: Practice Sheet-2

Instructors

Sandeep Kumar Mathur
Faculty (Maths)

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