Lesson Plan: Exponential Form of a Complex Number | Nagwa Lesson Plan: Exponential Form of a Complex Number | Nagwa

# Lesson Plan: Exponential Form of a Complex Number Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to convert a complex number from the algebraic to the exponential form (Euler’s form) and vice versa.

#### 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.