
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 :
 There are two sequences associated with every series. What are they?
 Does the geometric series (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 deemphasize 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
 sin(k)?
 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 :
 Give an example of a series that is conditionally convergent. Explain.
 Give an example of a series that is absolutely convergent. Explain.
For April 16
Section 11.4 Absolute Convergence: Alternating Series (cont)
 To read : Reread the section for today
Email Subject Line : Math 104 4/16 Your Name
Reading Question :
How close does S_{100} approximate the series (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 :
 How do power series differ from the series we have looked at up to this point?
 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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