Math 104 - Calculus II Reading Assignments - November 2002

Be sure to check back, because this may change during the semester.
(Last modified: Friday, November 15, 2002, 8:47 AM )

I'll use Maple syntax for mathematical notation on this page.
All numbers indicate sections from Ostebee/Zorn, Vol 2, 2nd Edition.

For November 1

Section 4.2 More on Limits: Limits Involving Infinity and l'Hopital's Rule
Section 11.1 Sequences and Their Limits

To read : The section l'Hopital's rule: finding limits by differentiation that begins on page S-19 and all of Section 11.1.

Be sure to understand : The statement of l'Hopital's rule and the section Terminology and basic examples in Section 11.1.

Email Subject Line : Math 104 11/1 Your Name

Reading Questions :

1. Does l'Hopital's Rule apply to lim_{(x -> infty)} x² / e^x ? Why or why not?
2. Does l'Hopital's Rule apply to lim_{(x -> infty)} x² / sin(x) ? Why or why not?
3. Does the following sequence converge or diverge? Be sure to explain your answer.
   1, 3, 5, 7, 9, 11, 13, . . .
4. Find a symbolic expression for the general term a_k of the sequence 1, 2, 4, 8, 16, 32, . . .

For November 4

Section 11.2 Infinite Series, Convergence, and Divergence

To read : Through Example 4. This can be tough going.

Be sure to understand : The sections Why series matter: A look ahead and Definitions and terminology.

Email Subject Line : Math 104 11/4 Your Name

Reading Questions :

1. There are two sequences associated with every series. What are they?
2. Does the geometric series (1/4)^k converge or diverge? Why?

For November 6

For November 8

Section 11.2 Infinite Series, Convergence, and Divergence

To read : Finish the section and reread through Example 4.

Be sure to understand : The nth term test.

Email Subject Line : Math 104 11/8 Your Name

Reading Questions : What does the nth Term Test tell you about each series? Explain.

1. 2^k
2. 1/k

For November 11

Section 11.3 Testing for Convergence; Estimating Limits

To read : Through Example 5.

Be sure to understand : The statements of the Comparison test and Integral test for non-negative series.

Email Subject Line : Math 104 11/11 Your Name

Reading Question :

Explain in a couple of sentences why you think the Comparison Test should hold.

For November 13

For November 15

Section 11.3 Testing for Convergence; Estimating Limits

To read : Finish the section for today.

Be sure to understand : The statement of the Ratio test.

Email Subject Line : Math 104 11/15 Your Name

Reading Question:

What does the Ratio test remind you of?

For November 18

Section 11.4 Absolute Convergence; Alternating Series

To read : All

Be sure to understand : The statement of the Alternating series test.

Email Subject Line : Math 104 11/18 Your Name

Reading Questions :

1. Give an example of a series that is conditionally convergent. Explain.
2. Give an example of a series that is absolutely convergent. Explain.

For November 20

Section 11.4 Absolute Convergence; Alternating Series

Reread the section for today, but no Reading Questions.

For November 22

Section 11.5 Power Series

To read : All

Be sure to understand : Examples 4 and 5.

Email Subject Line : Math 104 11/20 Your Name

Reading Questions :

1. How do power series differ from the series we have looked at up to this point?
2. What is the interval of convergence of a power series? Explain in your own words.

For November 25

Section 11.5 Power Series
Reread the section, but no Reading Questions for today.