Learning Resources

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Outcomes

In this lesson you will learn

  • to multiply and divide complex numbers
  • how to "realize" a complex denominator

By the end of this section students will be able to:

  • explain the connection between real and complex numbers
  • represent complex numbers in a variety of ways
  • apply operations on complex numbers both in rectangular and polar form
  • construct and examine graphs in the complex and polar planes
  • develop and evaluate mathematical arguments and proofs
  • analyze and solve polynomial, rational, irrational, absolute value and trigonometric equations

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • complex numbers
  • the imaginary unit
  • complex conjugates
  • position vectors
  • transformations
  • how to rationalize the denominators of radicals
  • distributive property