ORELA Math: Complex Numbers - Videos & Lessons

About This Chapter

Oregon now uses the National Evaluation Series (NES) examination for teacher certification instead of the ORELA Math examination. Prepare for the examination by watching this chapter's video lessons on complex numbers and reviewing what you know.

ORELA Math: Complex Numbers - Chapter Summary

This chapter's video lessons aim to ensure that you understand the applications of complex numbers as you prepare to take the ORELA Math examination. The steps and formulas involved in performing operations with complex numbers are emphasized in the lessons. Let the information in this chapter help you with:

Solving equations with imaginary numbers
Adding, subtracting, dividing and multiplying complex numbers
Graphing complex numbers
Using polar form conversion and De Moivre's formula

Increase your existing knowledge and absorb new information as you watch these educational videos. You'll learn from experienced instructors who are ready to answer your questions about complex numbers. While you're studying, you can refer to the written transcripts or use video tags to watch parts of the lessons again. Take advantage of the opportunities to learn anywhere and at any time. The lessons are immediately followed by short quizzes that assess your progress.

5 Lessons in Chapter 20: ORELA Math: Complex Numbers

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1. What is an Imaginary Number?

The imaginary number 'i' is the square root of -1. Although this number doesn't actually exist, pretending that it does allows us to do a bunch of crazy math that scientists use every day. Learn the basics of that number 'i' here!

2. How to Divide Complex Numbers

While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.

3. How to Add, Subtract and Multiply Complex Numbers

Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!

4. How to Graph a Complex Number on the Complex Plane

Graphing complex numbers is pretty straight forward, but it's not necessarily intuitive. Check out this lesson to learn the vocabulary and the conventions that you'll need.

5. Complex Numbers in Polar Form: Process & Examples

After watching this video lesson, you will be able to convert complex numbers from rectangular form to polar form easily by following the formulas you will see here. You will also learn how to find the power of a complex number.

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Practice Final Exam

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Visit the ORELA Mathematics: Practice & Study Guide page to learn more.

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