Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Algebra III / Intermediate Algebra
Topic: Radical Expressions
Subtopic: Complex Numbers


We finally get to work with imaginary numbers! So far we have been constrained in the Real realm, but today our world will open up to the Complex realm which includes imaginary numbers :) There is plenty of new terminology to learn, algebraic processes, and calculator processes.

Two cautions to take note of: (1) never leave i to a power, and (2) never leave i in the denominator of a fraction. Be sure you know how to simplify each of these cases.


By the end of this topic you should know and be prepared to be tested on:


Define: complex number system, non-real number, imaginary number, the basic imaginary number i, real part of a complex number, imaginary part of a complex number, conjugate of a complex number

Supplementary Resources

Read John and Betty's Journey Through Complex Numbers, an online story book about complex numbers. Particularly useful for this class are pages 14-21.

It is recommended that you be able to use a calculator (handheld or software) to do some of the processes covered in this lesson. If you have a handheld graphing calculator then these sites may help: