Overview
This section introduces a special type of series that will be particularly important to us as we continue in Chapter 8. It's unusually easy to determine whether an Alternating Series converges or diverges.
Basic Learning Objectives
These objectives represent the basic calculations, new ideas, etc. in this section. You are responsible for learning and demonstrating that you are proficient with them before class. The preview activity on WeBWorK will cover this material.

State the definition of an alternating series, especially the meaning of the sequence of positive terms.

Be able to identify an alternating series and its sequence of positive terms, as well as tell when a series is not alternating.

Be able to state the Alternating Series Test and apply it in simple cases.
Advanced Learning Objectives
These are the more advanced ideas that we will focus on in class. You should master these objectives during and following class:

Be able to apply the Alternating Series Test to come to a correct conclusion.

Be able to define conditionally convergent and absolutely convergent and use the terms properly in a sentence.

Use appropriate convergence tests to determine the behavior of conditionally or absolutely convergent series.

Choose the most appropriate convergence test for a given series.
To Do Before Class
Use these resources to become proficient with the basic objectives (see above) before class:

Read Section 8.4 in the text book. You may choose to only skim the Alternating Series Estimation Theorem, as we will not focus on it.

Watch the following videos:

Do the Preview Activity for this section (on WeBWorK if required by your teacher).

Watch the following videos: