Reading Assignments for Calculus 2
    Spring 2006, Math 104

    April and May, 2006



    Be sure to check back often, because assignments may change!
    (Last modified: Monday, April 17, 2006, 12:10 PM )


    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 Monday 4/3 at 9am

    Section 11.2 Infinite Series, Convergence, and Divergence

    E-mail Subject Line: Math 104 Your Name 4/3

    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?

    Reminders:


    Due Wednessday 4/5 at 9am

    Section 11.2: Infinite Series, Convergence, and Divergence

    E-mail Subject Line: Math 104 Your Name 4/5

    Reading Questions:
    What does the nth Term Test tell you about each series? Explain.

    1. sum(sin(k), k=0..infinity)
    2. sum(1/k , k=1..infinity)

    Reminders:


    Due Friday 4/7 at 9am

    Section 11.3: Testing for Convergence; Estimating Limits

    E-mail Subject Line: Math 104 Your Name 4/7

    Reading questions:

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


    Due Monday 4/10 at 9am

    Section 11.3 Testing for Convergence; Estimating Limits

    E-mail Subject Line: Math 104 Your Name 4/10

    Reading Questions:

    1. Explain in a couple sentences why the Integral Test makes sense.

    Reminders:


    Due Wednesday 4/12 at 9am

    Re-read Section 11.3, through the Integral Test

    No Reading Questions Today

    Reminders:


    Due Friday 4/14 at 9am

    Work on Project 2

    No Reading Questions Today


    Due Monday 4/17 at 9am

    Continue working on Project 2

    No Reading Questions Today

    Reminders:


    Due Wednesday 4/19 at 9am

    Section 11.3 Testing for Convergence; Estimating Limits

    No Reading Questions Today

    Reminder:


    Due Friday 4/21 at 8am

    Section 11.3 Testing for Convergence; Estimating Limits

    E-mail Subject Line: Math 104 Your Name 4/21

    Reading Questions:

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


    Due Monday 4/24 at 9 am

    Section 11.4 Absolute Convergence; Alternating Series

    E-mail Subject Line: Math 104 Your Name 4/24

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

    Reminders:


    Due Wednesday 4/26 at 9am

    Section 11.5 Power Series

    E-mail Subject Line: Math 104 Your Name 4/26

    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.
    Reminders:


    Due Friday 4/28 at 9am

    Section 11.5 Power Series

    No Reading Questions Today


    Due Monday 5/1 at 9am

    Bring Questions for Exam 3

    No Reading Questions Today!
    Reminders:


    Due Wednesday 5/3 at 9am

    Section 11.5 Power Series

    No Reading Questions Today


    Due Friday 5/5 at 9am

    Section 11.6 Power Series as Functions
    Section 11.7 Taylor Series

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

    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?


    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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