Reading Assignments for Calculus 2
    Spring 2002, Math 104

    April and May



    Be sure to check back often, because assignments may change!
    Last modified: March 28, 2002


    I'll use Maple syntax for mathematical notation on this page.
    All section and page numbers refer to sections from Ostebee/Zorn, Vol 2.


    Due Monday 4/1 at 8am

    Q & A for Exam 2

    No Reading Questions Today!

    Reminders:


    Due Wednesday 4/3 at 8am

    Section 11.1: Sequences and Their Limits

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

    Reading questions:

    1. Does the following sequence converge or diverge? Be sure to explain your answer.
      1, 3, 5, 7, 9, 11, 13, . . .
    2. Find a symbolic expression for the general term ak of the sequence
      1, -2, 4, -8, 16, -32, . . .

    Reminders:


    Due Friday 4/5 at 8am

    Section 11.2: Infinite Series, Convergence, and Divergence

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

    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?

    Reminder:


    Due Monday 4/8 at 8am

    Section 11.2: Infinite Series, Convergence, and Divergence

    E-mail Subject Line: Math 104 Your Name 4/8

    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=0..infinity)

    Reminders:


    Due Wednesday 4/10 at 8am

    11.3: Testing for Convergence: Estimating Limits

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

    Reading Questions:

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

    Reminders:


    Due Friday 4/12 at 8am

    Section 11.3: Testing for Convergence: Estimating Limits

    E-mail Subject Line: Math 104 Your Name 4/12

    Reading Questions:

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

    Reminders:


    Due Monday 4/15 at 8am

    Project 3

    No Reading Questions Today!
    Reminders:


    Due Wednesday 4/17 at 8am

    The Big Picture

    No reading questions today

    Reminders:


    Due Friday 4/19 at 8am

    Section 11.4 Absolute Convergence: Alternating Series

    E-mail Subject Line: Math 104 Your Name 4/19

    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.

    Reminders:


    Due Monday 4/22 at 8am

    Q & A for Exam 3

    No Reading Questions Today!
    Reminder:


    Due Wednesday 4/24 at 8am

    Section 11.4: Absolute Convergence: Alternating Series (cont)

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

    Reading Questions:

    1. How close does S100 approximate the series
      sum( ' (-1)k (1/k)', k=0 .. infinity) ?
      Why?

    Reminder:


    Due Friday 4/26 at 8am

    Section 11.4: Absolute convergence: Alternating Series (continued)

    No Reading Questions Today!
    Reminder:


    Due Monday 4/26 at 8am

    Section 11.5: Power Series

    E-mail Subject Line: Math 104 Your Name 4/29

    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 Wednesday 5/1 at 8am

    11.6: Power Series as Functions

    E-mail Subject Line: Math 104 Your Name 5/1

    Reading Questions:

    1. Give two good reasons for writing a known function ( such as cos(x) ) as a power series.
    2. Write cos(2x) as a power series.

    Reminder:


    Due Friday 5/3 at 8am

    11.6: Power Series as Functions

    E-mail Subject Line: Math 104 Your Name 5/3

    Reading Questions:

    1. Find the elementary function represented by the power series
      sum(k*xk-1,k=1..infinity)
      by manipulating a more familiar power series.

    Reminder:


    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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