Complex Numbers 1

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
3163 views | 2 ratings
Part of video series
Meets NCTM Standards:
Lesson Summary:

This lesson introduces the concept of the imaginary number i, which is the square root of -1, and complex numbers. It shows how to simplify square roots of negative numbers, define pure imaginary numbers and identify the real and imaginary parts of a complex number in standard form. The lesson emphasizes that any real number times i is a pure imaginary number, while any number in the form a + bi is a complex number. Overall, this lesson provides a solid foundation for understanding complex numbers.

Lesson Description:

Introduction to the Imaginary unit (imaginary number) i which is the square root of -1, and complex numbers. Several examples are provided, showing how to simplify square roots of negative numbers, define pure imaginary numbers, state the standard form of a complex number, and identify the real and imaginary parts of a complex number in standard form.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • What are complex numbers?
  • What is the imaginary unit i?
  • How do you take the square root of a negative number?
  • What is standard form of a complex number?
  • What are the real and imaginary parts of a complex number?
  • What is the square root of -1?
  • What is the square root of -9?
  • Why does i^2 = -1?
  • What is a pure imaginary number?
  • What is the square root of -25?
  • How do you simplify the square root of -18?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video explains the idea of the imaginary unit i and complex numbers. Simplifying square roots of negative numbers and working with complex numbers are shown in this video. All topics involved are explained very well in this video.