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 / ex ? 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 ak 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 Sigma (1/4)k converge or diverge? Why?

For November 6

The Big Picture before Exam 2. No Reading Assignment for today.

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. Sigma 2k
  2. Sigma 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

Work on Group Project 3. No Reading Assignment for today.

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.



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Last modified: Friday, November 15, 2002, 8:47 AM