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

    E-mail Subject Line: Math 104 Your Name 11/2

    Reading questions:

    1. There are two sequences associated with every series. What are they?
    2. Does the geometric series sum((1/4)k,k=0..infinity) converge or diverge? Why?
    3. 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

    No Reading Questions Today


    Due Wednesday 11/7 at 9am

    Section 11.3: Testing for Convergence; Estimating Limits

    E-mail Subject Line: Math 104 Your Name 11/7

    Reading questions:

    1. Explain in a couple of sentences why the Comparison Test makes sense.
    2. 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


    Due Wednesday 11/14 at 9am

    Section 11.3 Testing for Convergence; Estimating Limits

  1. To read: Finish the section.
  2. Be sure to understand: How to use the ratio test to determine convergence and divergence.

    E-mail Subject Line: Math 104 Your Name 11/14

    Reading Questions:

    1. Explain in a couple of sentences why the Ratio Test makes sense.
    Reminders:


    Due Friday 11/16 at 9am

    Section 11.4 Absolute Convergence; Alternating Series

    E-mail Subject Line: Math 104 Your Name 11/16

    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.

    Reminder:


    Due Monday 11/19 at 9am

    Section 11.4 Absolute Convergence; Alternating Series

    E-mail Subject Line: Math 104 Your Name 11/19

    Reading Questions:

    1. How closely does S100 approximate the series sum((-1)k (1/k), k=1 .. infinity) ? Why?
    Reminder:


    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

    E-mail Subject Line: Math 104 Your Name 11/26

    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.


    Due Wednesday 11/28 at 9am

    Bring Questions for Exam 3

    No Reading Questions Today!
    Reminders:


    Due Friday 11/30 at 9am

    Section 11.5 Power Series

    No Reading Questions Today

    Reminders:


    Due Monday 12/3 at 9am

    Section 11.5 Power Series

    No Reading Questions Today

    Reminder:


    Due Wednesday 12/5 at 9am

    Section 11.6 Power Series as Functions
    Section 11.7 Taylor Series

    E-mail Subject Line: Math 104 Your Name 12/5

    Reading Questions:

    1. Give two good reasons for writing a known function ( such as cos(x) ) as a power series.
    2. How does a Taylor series differ from a Taylor polynomial?
    3. Why would you ever want to find the Taylor series of a function?

    Reminder:


    Due Friday 12/7 at 9am

    Section 11.7 Taylor Series

    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 02766-0930
    TEL (508) 286-3973
    FAX (508) 285-8278
    jsklensk@wheatonma.edu


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