Math 104 - Calculus II - Reading Assignments
April 2001

Be sure to check back, because this may change during the semester.
(Last modified: Monday, December 11, 2000, 1:16 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? Why?

For April 4

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 4/4 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 April 6

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 4/6 Your Name

Reading Question :

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

For April 9

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 4/9 Your Name

Reading Question :

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

For April 11

Work on Group Project 3. No Reading Assignment.

For April 13

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 4/13 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) ? Why?

For April 18

Section 11.5 Power Series

To read : All

Be sure to understand : Examples 4 and 6

Email Subject Line : Math 104 4/18 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 April 20

Section 11.5 Power Series (cont)

To read : Reread this section

Be sure to understand : The section on "Power Series Convergence, Graphically"

Email Subject Line : Math 104 4/20 Your Name

Reading Questions :

  1. Give an example of a power series with an interval of convergence of (-infty, infty). Explain.
  2. Give an example of a power series with an interval of convergence of (1, 3). Explain.

For April 23

Section 11.6 Power Series as Functions

To read : All

Be sure to understand : Example 3

Email Subject Line : Math 104 4/23 Your Name

Reading Question :

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

For April 25

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

Remainder of Semester

We will be covering some supplementary topics not in the text, so there are no specific reading assignments to email.


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