Master the Fundamentals of Complex Numbers

Master the Fundamentals of Complex Numbers, available at $74.99, has an average rating of 4.9, with 49 lectures, 3 quizzes, based on 28 reviews, and has 676 subscribers.

You will learn about Basic Complex Number Operations Complex Roots of Polynomial Equations Argand Diagrams Modulus-Argument Form (Polar Form) of Complex Numbers Euler's Formula Loci of Complex Numbers (for IGCSE/College-Level) De Moivre's Theorem (for IB/College-Level) Nth Roots of a Complex Number (for IB/College-Level) Problem-Solving involving Complex Numbers This course is ideal for individuals who are Students who are taking college-level mathematics or Students who are taking the IB HL Mathematics or Students who are taking the IGCSE/GCE 'A' level Mathematics or Students who need a good foundation in Complex Numbers for University-level modules It is particularly useful for Students who are taking college-level mathematics or Students who are taking the IB HL Mathematics or Students who are taking the IGCSE/GCE 'A' level Mathematics or Students who need a good foundation in Complex Numbers for University-level modules.

Enroll now: Master the Fundamentals of Complex Numbers

Summary

Title: Master the Fundamentals of Complex Numbers

Price: $74.99

Average Rating: 4.9

Number of Lectures: 49

Number of Quizzes: 3

Number of Published Lectures: 49

Number of Published Quizzes: 3

Number of Curriculum Items: 52

Number of Published Curriculum Objects: 52

Original Price: $54.99

Quality Status: approved

Status: Live

What You Will Learn

Basic Complex Number Operations
Complex Roots of Polynomial Equations
Argand Diagrams
Modulus-Argument Form (Polar Form) of Complex Numbers
Euler's Formula
Loci of Complex Numbers (for IGCSE/College-Level)
De Moivre's Theorem (for IB/College-Level)
Nth Roots of a Complex Number (for IB/College-Level)
Problem-Solving involving Complex Numbers

Who Should Attend

Students who are taking college-level mathematics
Students who are taking the IB HL Mathematics
Students who are taking the IGCSE/GCE 'A' level Mathematics
Students who need a good foundation in Complex Numbers for University-level modules

Target Audiences

Students who are taking college-level mathematics
Students who are taking the IB HL Mathematics
Students who are taking the IGCSE/GCE 'A' level Mathematics
Students who need a good foundation in Complex Numbers for University-level modules

Dear students,

Welcome to this course “Master the Fundamentals of Complex Numbers”!

This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A level or the IB HL Math examinations.

At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:

basic complex number operations
complex roots of polynomial equations
Argand diagrams
the modulus-argument form (polar form)
multiplication and “division” of complex numbers
powers of complex numbers
Euler’s formula
loci of complex numbers (for IGCSE/College-Level)
inequalities of complex numbers (for IGCSE/College-Level)
De Moivre’s Theorem (for IB/College-Level)
nth roots of complex numbers (for IB/College-Level)

Along the way, there will be quizzes and practice questions for you to get familiarized with complex numbers. There are also several bonus lectures which will further enhance your understanding of the topic. If you encounter any problems, please do not hesitate to contact me for more clarifications.

I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers!

Dr Ling M K Daniel, PhD

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Course Curriculum

Chapter 1: Introduction to Complex Numbers

Lecture 1: Introduction to Complex Numbers

Lecture 2: Practice 1

Lecture 3: Practice 1 Answers

Chapter 2: Basic Complex Number Operations

Lecture 1: Basic Complex Number Operations

Lecture 2: Practice 2

Lecture 3: Practice 2 Answers

Chapter 3: Quiz 1

Chapter 4: Complex Roots of Polynomial Equations

Lecture 1: Complex Roots of Polynomial Equations

Lecture 2: Practice 3

Lecture 3: Practice 3 Answers

Chapter 5: Argand Diagrams

Lecture 1: Argand Diagrams

Lecture 2: Practice 4

Lecture 3: Practice 4 Answers

Chapter 6: Introduction to the Modulus-Argument Form of Complex Numbers

Lecture 1: The Modulus-Argument Form

Lecture 2: Practice 5

Lecture 3: Practice 5 Answers

Chapter 7: Multiplication and Division in Modulus Argument Form

Lecture 1: Multiplication and Division in Modulus Argument Form

Lecture 2: Practice 6

Lecture 3: Practice 6 Answers

Chapter 8: Powers of Complex Numbers

Lecture 1: Powers of Complex Numbers

Lecture 2: Practice 7

Lecture 3: Practice 7 Answers

Chapter 9: Introduction to the Euler's Formula

Lecture 1: Euler's Formula

Lecture 2: Practice 8

Lecture 3: Practice 8 Answers

Chapter 10: Quiz 2

Chapter 11: Loci of Complex Numbers (for IGCSE/College-Level)

Lecture 1: Loci of Complex Numbers and Locus of a Circle

Lecture 2: Practice 9

Lecture 3: Practice 9 Answers

Lecture 4: Locus of a Perpendicular Bisector

Lecture 5: Practice 10

Lecture 6: Practice 10 Answers

Lecture 7: Locus of a Half-line

Lecture 8: Practice 11

Lecture 9: Practice 11 Answers

Chapter 12: Inequalities in Complex Numbers (for IGCSE/College-Level)

Lecture 1: Inequalities in Complex Numbers

Lecture 2: Practice 12

Lecture 3: Practice 12 Answers

Chapter 13: De Moivre's Theorem (for IB HL/College-Level)

Lecture 1: De Moivre's Theorem

Lecture 2: Practice 13

Lecture 3: Practice 13 Answers

Chapter 14: Nth Roots of a Complex Number (for IB HL/College-Level)

Lecture 1: Nth Roots of a Complex Number

Lecture 2: Practice 14

Lecture 3: Practice 14 Answers

Chapter 15: Quiz 3

Chapter 16: Bonus! Problem-Solving Exercises, Solutions to Quizzes and an Extra Video!

Lecture 1: Complex Numbers Problem-Solving Exercises

Lecture 2: Answers to Problem-Solving Exercises

Lecture 3: Bonus! Correction of Argument to Principal Value

Lecture 4: Written Solutions to the Quizzes

Lecture 5: Further Problem-Solving Exercise 1

Lecture 6: Lecture 48: Further Problem-Solving Exercise 2

Chapter 17: Summary and Conclusions

Lecture 1: Summary and Conclusions

Instructors

Dr Ling Meng Kay Daniel, PhD
Associate Lecturer and Academic Coach

Rating Distribution

1 stars: 1 votes
2 stars: 0 votes
3 stars: 1 votes
4 stars: 5 votes
5 stars: 21 votes

Frequently Asked Questions

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