Lesson: Exponential Form of a Complex Number Mathematics

In this lesson, we will learn how to convert a complex number from the algebraic to the exponential form (Euler’s form) and vice versa.

Lesson Plan

Objectives

Students will be able to

  • convert complex numbers between exponential and Cartesian (algebraic/rectangular) forms,
  • convert complex numbers between exponential form and polar form,
  • perform operations (addition, subtraction, multiplication, and division) on complex numbers in exponential form,
  • use the properties of complex numbers in exponential form to solve problems.

Prerequisites

Students should already be familiar with

  • Argand diagrams,
  • Cartesian and polar forms of complex numbers,
  • performing operations (addition, subtraction, multiplication, and division) on complex numbers in Cartesian and polar forms,
  • the properties of complex numbers and complex conjugates,
  • squaring complex numbers in algebraic form.

Exclusions

Students will not cover

  • complex number calculations involving only algebraic and/or polar form,
  • de Moivre’s theorem.

Lesson Video

Video Thumbnail
14:59

Lesson Explainer

Sample Question Videos

  • 02:44
  • 03:12
  • 04:02

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