Complex Numbers

Success Criteria

At the end of this chapter, students are able to:

1. Find the complex roots of quadratic equations.

2. Add, subtract and multiply 2 complex numbers.

3. Find the complex conjugate of a complex number to divide 2 complex numbers.

4. Represent a complex number on an Argand diagram.

5. Convert a complex number from general form to polar form and exponential form and vice-versa.

6. State and apply Euler's Formula & Identity.

7. Multiply and divide 2 complex numbers in polar form.

8. Solve for the Roots of Unity.

Introduction

A complex number is a number that can be expressed as a + bi (General Form), where a and b are real numbers and i² = −1.