Reading Assignments for Calculus 2
    Spring 2002 Math 104

    March, 2002



    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 Friday 3/1 at 8am

    Section 8.1: Introduction To Using the Definite Integral
    Section 8.2: Finding Volume By Integration

    E-mail Subject Line: Math 104 Your Name 3/1

    Reading questions:

    1. Let R be the rectangle formed by the x-axis, the y-axis, and the lines y=1 and x=3. What is the shape of the solid formed when R is rotated about the x-axis?
    2. Let T be the triangle formed by the lines y=x, x=1 and the x-axis. What is the shape of the solid formed when T is rotated about the x-axis?

    Reminder:


    Due Monday 3/4 at 8am

    Section 8.2: Finding Volumes By Integration

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

    Reading questions:

      Consider the region R bounded by the graphs y=x and y=x2. (Notice R is in the first quadrant). Set up the integral that gives the volume of the solid formed when R is rotated about
    1. the x-axis
    2. the y-axis

    Reminder:


    Due Wednesday 3/6 at 8am

    Section 8.3: Arclength

    E-mail Subject Line: Math 104 Your Name 3/6

    Reading Questions:

    1. Use the Fact on page 468 to set up the integral that gives the length of the curve y=x3 from x=1 to x=3.

    Reminders:


    Due Friday 3/8 at 8am

    The Big Picture

    No reading questions today

    Reminders:


    Due Monday 3/18 at 8am

    Section 10.1: When Is an Integral Improper?

    E-mail Subject Line: Math 104 Your Name 3/18

    Reading questions:

    1. What are the two ways in which an integral may be improper?
    2. Explain why int( 1/x2, x=1..infty) is improper. Does the integral converge or diverge?
    3. Explain why int( 1/x2, x=0..1) is improper. Does the integral converge or diverge?

    Reminders:


    Due Wednesday 3/20 at 8am

    Project 2

    No Reading Questions Today!
    Reminder:


    Due Friday 3/22 at 8am

    Section 10.2: Detecting Convergence, Estimating Limits

    E-mail Subject Line: Math 104 Your Name 3/22

    Reading questions:

    1. If 0 < f(x) < g(x) and int( g(x), x=1. . infty) converges, will int(f(x), x=1. .infty) converge or diverge? Why?
    2. There are two types of errors that arise in Example 2 for approximating int( 1/(x5 +1), x=1..infty). What are the two types?

    Reminder:


    Due Monday 3/25 at 8am

    Section 10.2: Detecting Convergence, Estimating Limits

    E-mail Subject Line: Math 104 Your Name 3/25

    Reading Questions:

      Suppose that 0 < f(x) < g(x).
    1. If int(f(x), x=1. .infty) diverges, what can you conclude about int( g(x), x=1. . infty)?
    2. If int(g(x), x=1. .infty) diverges, what can you conclude about int( f(x), x=1. . infty)?

    Reminders:


    Due Wednesday 3/27 at 8am

    Section 10.4: l'Hopital's Rule: Comparing Rates

    E-mail Subject Line: Math 104 Your Name 3/27

    Reading Questions:

    1. Does l'Hopital's Rule apply to lim(x -> infty) x2 / ex ? Why or why not?
    2. Does l'Hopital's Rule apply to lim(x -> infty) x2 / sin(x) ? Why or why not?

    Reminders:


    Friday 3/29 at 8am

    Section 10.4: l'Hopital's Rule: Comparing Rates

    No Reading Questions today (unless you never did the reading questions for Wednesday, in which case you should send those on in for half credit!)

    Reminder:



    Here ends the reading for March
    Next, go to the reading for April and May!


    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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