Reading Assignments for Calculus 2
Fall 2007, Math 104
November and December, 2007
Be sure to check back often, because assignments may change!
(Last modified:
Friday, November 30, 2007,
9:57 AM )
I'll use Maple syntax for mathematical notation on this page.
All section and page numbers refer to sections from Ostebee/Zorn, Volume 2, Edition 2.
Due Friday 11/2 at 9am
Section 11.2 Infinite Series, Convergence, and Divergence
 To read:
Finish the section (you should have started it for Thursday's class). Reread through Example 4.
 Be sure to understand:
The sections Why series matter: A look ahead and Definitions and terminology. The nth term test.
Email Subject Line: Math 104 Your Name 11/2
Reading questions:
 There are two sequences associated with every series. What are they?
 Does the geometric series sum((1/4)^{k},k=0..infinity) converge or diverge? Why?

What does the nth Term Test tell you about each series? Explain.
(a) sum(sin(k), k=0..infinity)
(b) sum(1/k , k=1..infinity)
Reminders:
Due Monday 11/5 at 9am
Section 11.2: Infinite Series: Convergence and Divergence
 To read:
Reread the whole section one more time  really work to make sense out of everything.
No Reading Questions Today
Due Wednesday 11/7 at 9am
Section 11.3: Testing for Convergence; Estimating Limits
 To read:
Through the section on the Integral test.
 Be sure to understand:
How to use the comparison and integral tests to determine convergence; how to use them to estimate the accuracy of an approximation.
Email Subject Line: Math 104 Your Name 11/7
Reading questions:
 Explain in a couple of sentences why the Comparison Test makes sense.
 Explain in a couple sentences why the Integral Test makes sense.
Reminders:
Due Friday 11/9 at 9am
Begin Working on Project 1
No Reading Questions Today
Reminders:
Due Monday 11/12 at 9am
Continue Working on Project 2
No Reading Questions Today
Due Wednesday 11/14 at 9am
Section 11.3 Testing for Convergence; Estimating Limits
 To read:
Finish the section.
 Be sure to understand:
How to use the ratio test to determine convergence and divergence.
Email Subject Line: Math 104 Your Name 11/14
Reading Questions:
 Explain in a couple of sentences why the Ratio Test makes sense.
Reminders:
 You should have the mathematics behind project 2 solved by Wednesday evening, so you can begin writing your response. I once again encourage you to bring me a draft.
Due Friday 11/16 at 9am
Section 11.4 Absolute Convergence; Alternating Series
 To read:
All
 Be sure to understand:
The statements of the Alternating Series test
Email Subject Line: Math 104 Your Name 11/16
Reading Questions:
 Give an example of a series that is conditionally convergent. Explain.
 Give an example of a series that is absolutely convergent. Explain.
Reminder:
Due Monday 11/19 at 9am
Section 11.4 Absolute Convergence; Alternating Series
 To read:
Reread the section.
 Be sure to understand:
Email Subject Line: Math 104 Your Name 11/19
Reading Questions:
 How closely does S_{100} approximate the series
sum((1)^{k} (1/k), k=1 .. infinity) ?
Why?
Reminder:
 Exam 3 is the Thursday after Thanksgiving break. While I know you are only just now finishing up Project 2, you may want to look at your postbreak schedule and decide whether you want to get a good start on preparing yourself.
Due Wednesday 11/21 at 9am
Thanksgiving Break!
Due Friday 11/23 at 9am
Thanksgiving Break!
Due Monday 11/26 at 8am
Section 11.5 Power Series
 To read:
All
 Be sure to understand:
Examples 4 and 5.
Email Subject Line: Math 104 Your Name 11/26
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? Explain in your own words.
Due Wednesday 11/28 at 9am
Bring Questions for Exam 3
No Reading Questions Today!
Reminders:
 PS 12 will not be collected, but it will be covered on the exam.
 As always, you may have handwritten notes on one side of a standard sheet of paper, and may begin the exam at 12:30.
 Get as many questions resolved before class on Wednesday as possible, through office hours and tutoring hours.
Due Friday 11/30 at 9am
Section 11.5 Power Series
 To read:
Reread this section
 Be sure to understand:
The whole thing!
No Reading Questions Today
Reminders:
Due Monday 12/3 at 9am
Section 11.5 Power Series
 To read:
Reread this section
 Be sure to understand:
The whole thing!
No Reading Questions Today
Reminder:
Due Wednesday 12/5 at 9am
Section 11.6 Power Series as Functions
Section 11.7 Taylor Series
 To read:
All of both sections
 Be sure to understand:
The definition of a Taylor series
Email Subject Line: Math 104 Your Name 12/5
Reading Questions:
 Give two good reasons for writing a known function ( such as cos(x) ) as a power series.
 How does a Taylor series differ from a Taylor polynomial?
 Why would you ever want to find the Taylor series of a
function?
Reminder:
 Bring questions on Section 11.4 from PS 12 and on all of PS 13 to class Thursday.
Due Friday 12/7 at 9am
Section 11.7 Taylor Series
 To read:
Reread the section
 Be sure to understand:
No Reading Questions Today
Here ends the reading for the Semester!
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 027660930
TEL (508) 2863973
FAX (508) 2858278
jsklensk@wheatonma.edu
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