Ch 2: NYSTCE Mathematics: Complex Numbers

About This Chapter

The short and engaging video lessons in this chapter ensure you're prepared to answer complex numbers questions on the NYSTCE Mathematics assessment. Test your comprehension of the lessons by taking short quizzes and a chapter exam.

NYSTCE Mathematics: Complex Numbers - Chapter Summary

Use the lessons in this chapter to avoid the stress often associated with studying for a certification test. You can prepare for the NYSTCE Mathematics assessment by reviewing complex numbers and testing your comprehension with short quizzes. In no time, you will be able to:

  • Define an imaginary number
  • Explain how to add, subtract and multiply complex numbers
  • Divide complex numbers
  • Graph a complex number on the complex plane
  • Convert complex numbers from rectangular to polar form
  • Represent complex numbers with vectors

The video lessons in this chapter average about 10 minutes each, giving you access to short presentations you can use to quickly and effectively brush up on your knowledge of complex numbers. If you want to review specific details in the lessons, use timelines with handy tags to jump to key topics within the videos. With each lesson is a short quiz designed to gauge your comprehension of the materials. A chapter exam is available to provide a broader review of lesson concepts.

6 Lessons in Chapter 2: NYSTCE Mathematics: Complex Numbers
Test your knowledge with a 30-question chapter practice test
What is an Imaginary Number?

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!

How to Add, Subtract and Multiply Complex Numbers

2. 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!

How to Divide Complex Numbers

3. 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.

How to Graph a Complex Number on the Complex Plane

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.

Complex Numbers in Polar Form: Process & Examples

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.

Representing Complex Numbers With Vectors

6. Representing Complex Numbers With Vectors

In this lesson, we will explore complex numbers and vectors, and we will look at how these two concepts, though seemingly unrelated, work together by representing complex numbers with vectors.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the NYSTCE Mathematics (004): Practice & Study Guide course