Math 104 - Calculus II - Reading Assignments
April 1999

Be sure to check back, because this may change during the semester.
(Last modified: Tuesday, March 30, 1999, 3:53 PM )

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

For April 2

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 4/2 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?

For April 5

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

For April 7

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 4/7 Your Name

Reading Questions : What does the nth Term Test tell you about the series

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

For April 9

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 4/9 Your Name

Reading Question :

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

For April 12

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 4/12 Your Name

Reading Question :

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

For April 14

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 4/14 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 April 16

Section 11.4 Absolute Convergence: Alternating Series (cont)

  • To read : Re-read the section for today

Email Subject Line : Math 104 4/16 Your Name

Reading Question :

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

For April 19

Section 11.5 Power Series

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

Email Subject Line : Math 104 4/19 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?

For April 21

Section 11.6 Power Series as Functions

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

Email Subject Line : Math 104 4/21 Your Name

Reading Questions :

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

For April 23

Reread Section 11.6, but no Reading Questions for today.

For April 26

Q & A for Exam 3. No Reading Assignment for today.

For April 28

Work on Project 3. No Reading Assignment for today.

For April 30

Work on Project 3. No Reading Assignment for today.


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Last modified: Tuesday, March 30, 1999, 3:53 PM