Math 104 - Calculus II - Reading Assignments
November 1999

Be sure to check back, because this may change during the semester.
(Last modified: Tuesday, September 28, 1999, 10:51 PM )

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

For November 1

Section 10.4 l'Hopital's Rule: Comparing Rates

  • To read : All, but you may skip the section on Fine Print: Pointers Toward a Proof. We'll talk about a different justification during class.
  • Be sure to understand : The statement of Theorem 3, l'Hopital's Rule.

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?

For November 3

Section 11.1 Sequences and Their Limits

  • To read : Through page 557 and the statements of Theorem 2 and Theorem 3.
  • Be sure to understand : The section of Fine Points on page 553, the statements of Theorems 2 and 3.

Email Subject Line : Math 104 11/3 Your Name

Reading Questions :

  1. Does the following sequence converge or diverge? Be sure to explain your answer.
    1, 3, 5, 7, 9, 11, 13, . . .
  2. Find a symbolic expression for the general term ak of the sequence
    1, -2, 4, -8, 16, -32, . . .

For November 5

Section 11.2 Infinite Series, Convergence, and Divergence

  • To read : Through Example 4. This can be tough going.
  • Be sure to understand : The section Series Language: Terms, Partial Sums, Tails, Convergence, Limit on page 563

Email Subject Line : Math 104 11/5 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 8

Q & A for Exam 2 today. No Reading Assignment.

For November 10

Section 11.2 Infinite Series, Convergence, and Divergence (cont)

  • To read : Finish this section, although you can de-emphasize the part on Telescoping Sums
  • Be sure to understand : The nth Term Test

Email Subject Line : Math 104 11/10 Your Name

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

  1. Sigma sin(k)
  2. Sigma 1/k

For November 12

Section 11.3 Testing for Convergence: Estimating Limits

  • To read : Through page 577
  • Be sure to understand : The statement of the Comparison Test

Email Subject Line : Math 104 11/12 Your Name

Reading Question :

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

For November 15

Section 11.3 Testing for Convergence: Estimating Limits (cont)

  • To read : Finish this section
  • Be sure to understand : The statements of the Integral and Ratio Tests

Email Subject Line : Math 104 11/15 Your Name

Reading Question :

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

For November 17

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 11/17 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 19

Section 11.4 Absolute Convergence: Alternating Series (cont)

  • To read : Re-read the section for today

Email Subject Line : Math 104 11/19 Your Name

Reading Question :

    How close does S100 approximate the series Sigma (-1)k (1/k) ? Why?

For November 22

Section 11.5 Power Series

  • To read : All
  • Be sure to understand : Examples 4 and 6

Email Subject Line : Math 104 11/22 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 24

Thanksgiving Break. No Reading Assignment.

For November 26

Thanksgiving Break. No Reading Assignment.

For November 29

Section 11.6 Power Series as Functions

  • To read : All
  • Be sure to understand : Example 3

Reading Question : Since this is the first day after break, you don't have to send this in, but you should think about it.

    Give two good reasons for writing a known function ( such as cos(x) ) as a power series.


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Last modified: Tuesday, September 28, 1999, 10:51 PM