Calculus 2     Lesson 11.2     Series
The following topics are the most important. Typical exercises from Calculus, 7th edition-Early Transcendentals, by James Stewart, are assigned at the end of each objective.  

In smaller print following the objective is a guide for the reading assignment in the form of page numbers in the text and notes regarding the reading about the objective.
1. Define "series converges". Text P705
P705 The definition is given in box 2 on this page.  Know this thoroughly.
2. Find the sum of two types of convergent series.
2a. partial fractions series (telescoping series) P711#13,14,34
P708 The definition is given in the margin on this page.   Know this thoroughly.  Look at Example 7.
2b. geometric series P711#3,12,17,19,21
P706 The definition is given in box 4 on this page.   Know this thoroughly.  Look at Examples 1, 2, 3, 4, and 5.
  P706 Look at the video in the ebook. Example 3
  P707 Look at the video in the ebook. Example 5
3 Apply divergence tests.
3a. harmonic series Text P708
P708 The definition is given in Example 8 on this page.   Know this thoroughly.  We will be using this a lot.
  P708 Look at the video in the ebook. Example 8
3b. nth term test P711#8,23,25,31,32,42
P709 The definition is given in box 7 on this page.   Know this thoroughly.  Look at Example 9.
4. Express a repeating decimal as a ratio of integers. P711#51,55
P707 Example 5 shows how to use the geometric series to do this.
5. Given the nth partial sum, sn, of a series, find the terms, an, of the series and the limit of sn. Conclude whether the series converges and, if so, what the sum of the series is.   P711#65,67
P705 Review the definitions on this page and then go to the end of the section on page 709 and look at the theorems in box 8.  Use the two results as well as the series discussed in this section to help you solve these problems.
6. Find the sum or difference of two or more series.   P711#28
P709 The theorems in box 8 give the rules.   Look at Example 10.
Maple Assignment:  See Maple Assignment