Algebra – Complex numbers

Be able to do anything with complex numbers! – Free Course

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What you’ll learn

  • Algebraic form of complex numbers
  • Trigonometric form of complex numbers

  • Exponential form of complex numbers

  • Conversion between different forms
  • Operations with complex numbers
  • Plotting complex numbers
  • Solving equations containing complex numbers


  • An average highschool level mathematics knowledge
  • A desire to get better in mathematics



By completing this course, you are going to be able to handle problems containing complex numbers. I’m going to show you the necessary theoretical background in a nutshell, basically through examples. The course really concentrates on solving problems! I believe that you should always learn through solving problems! That’s why I made this course practical and I also give you a chance to practice on your own!

I teach you one specific skill in every section. I introduce you to complex numbers that appear in polynomial equations and I take you all the way to solving complex polynomial equations. In between, you are going to learn all the essential skills: converting complex numbers between different forms, doing operations with complex numbers and plotting complex numbers. There is always a checkpoint at the end of a section where you get relevant problems with available detailed solutions!

I believe in learning through examples so the course is highly practical. If you want to practice even more, you can stop the videos and make an effort of solving the numerical examples by yourself! Or at least you can solve the problems I give you at the checkpoints!

You don’t need much of a prior knowledge to take this course. Basically if you know some very simple math like addition or multiplication, you are good to go! I’m going to clear the necessary details during the lectures, so do not worry about the challenge!

This course is primarily designed for university/college students who are learning Algebra/Calculus and have to deal with complex numbers. If you are struggling with this topic, let me help you! Here you are going to get every help that you possibly need! If you have already completed this topic but you feel like you need to practice the basics, you are also welcome in this course!

I hope I can help you with this course just like I’ve already helped more than 4800 students with my other courses! I can’t wait to see you inside! Have fun and learn a lot!

Complex numbers appear in various engineering fields (Electricity, Control theory, etc.). Even if you only have to deal with real numbers, complex numbers can aid solution. For example complex solutions for differential equations helps you to find real solutions. This topic is very useful in practice!

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