The introduction to Complex Numbers
What you'll learn
- What are complex numbers
- Complex numbers in cartesian form, polar form and exponential form
- Complex numbers on the argand diagram
- Euler's Formula
- Loci of complex numbers
- Geometry of complex numbers
- Solving polynomial equations involving complex numbers
- Finding the nth root
- De Moivre's Formula
Requirements
- Algebra
- Some knowledge of trigonometry, vectors and exponential laws
Description
Welcome to this course on Introduction to Complex Numbers.
This course provides a comprehensive introduction to the world of complex numbers, equipping you with the foundational knowledge to confidently solve equations and apply complex numbers in a wide range of fields, including mathematics, engineering, physics, and more.
Our course is designed for students who have completed basic algebra and trigonometry. Our curriculum covers everything from algebraic operations with complex numbers to the geometry of the complex plane, polar forms of complex numbers, and the roots of complex numbers.
Here's what you will learn:
- Complex numbers in different forms (cartesian, polar and exponential form)
- Euler's fomula
- De Moivre's Formula
- Geometry of complex numbers
- Conjugates
- Loci of complex numbers
- Solving n root of complex numbers
By the end of our Introduction to Complex Numbers course, you'll have the confidence and knowledge to apply complex numbers in your work and continue exploring the fascinating world of mathematics. Don't miss out on this opportunity to expand your horizons and enhance your skills. Enroll now!
About the Instructor
RL Wong is a prolific tutor who had taught many students one-to- one or in group setting in Maths and Sciences. Being a Chemical Engineer for more than a decade, she's familiar with the practical side of Math and Science to the real world, as well, as the concepts behind.
Who this course is for:
- Students interested in Complex numbers
- Engineering students who are taking math classes
- Anyone interested in more advanced Math topics
Instructor
Hi! I am RL!
I have been an engineer by training, and have worked as an engineer for more than a decade. I specialize in Chemical Engineering and worked in various related industries for more than a decade. I love engineering, as it's the technology behind building things.
In addition to being an engineer, I'm also a serial academic content creator. Back in school, I love all the subjects I took. I got straight As for my A Levels. I also obtained a First Class Honors in my Engineering degree. I'll like to share my love for these subjects, and have created and conducted hundreds of lessons for students to help them with their academic exams for more than 2 decades.
Academic subjects and engineering aside, I also have an all- time favorite pastime - playing the piano and listening to classical music. When I started learning piano, it was basically playing others' pieces, but as I grow, I started to rearrange pieces to my liking, and even create some of my own.
I teach a variety of courses ranging from engineering, to academics to music - all of which I have decades of experience in.