What you'll 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

Requirements

Be proficient to perform basic operations in indices, algebra, vectors (elementary level) and trigonometry

Description

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 familiarize 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!

Who this course is for:

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

Homepage: https://www.udemy.com/mastery-of-complex-numbers/