Reading Assignments for Calculus 1
    Spring 2005, Math 101

    April and May 2005



    Be sure to check back often, because assignments may change!
    (Last modified: Tuesday, May 3, 2005, 9:52 AM )


    I'll use Maple syntax for some of the mathematical notation on this page. (Paying attention to how I type various expressions is a good way to absorb Maple notation). I will not use it when I think it will make the questions too difficult to read.
    All section and page numbers refer to sections from Calculus from Graphical, Numerical, and Symbolic Points of View, Volume 1, 2nd Edition, by Ostebee and Zorn.


    Due Friday 4/1 at 9am

    Work on Project 2

    No Reading Questions Today!

    Reminder:


    Due Monday 4/4 at 9am

    Section 4.7 Building Polynomials to Order: Taylor Polynomials

    To read: Re-read the section carefully.

    No Reading Questions Today

    Reminder:


    Due Wednesday 4/6 at 9am

    Bring Questions for Exam 2

    No Reading Questions Today

    Reminders:


    Due Friday 4/8 at 9am

    Section 4.8 Why Continuity Matters

    To read: All. Make sure to understand the statement of the Intermediate Value Theorem

    E-mail Subject Line: Math 101 Name 4/8

    Reading questions:

    1. What are the hypotheses of the Intermediate Value Theorem?
    2. What is the conclusion of the Intermediate Value Theorem?

    Reminder:


    Due Monday 4/11 at 9am

    Section 4.9 Why Differentiability: The Mean Value Theorem

    To read: All. Be sure to understand the statement of the Mean Value Theorem and the section "What the MVT says."

    E-mail Subject Line: Math 101 Name 4/11

    Reading questions:

    1. What are the hypotheses of the Mean Value Theorem?
    2. What is the conclusion of the Mean Value Theorem?
    3. Explain the MVT using "car talk" -- that is, using velocity.

    Reminder:


    Due Wednesday 4/13 at 9am

    Section 4.9 Why Differentiability: The Mean Value Theorem

    To read:Re-read this section carfully.

    No Reading Questions Today

    Reminders:


    Due Friday 4/15 at 9am

    Section 5.1 Areas and Integrals

    To read: All. Be sure to understand the definition of the integral, Example 2, and the section "Properties of the Integral" beginning on page 306.

    E-mail Subject Line: Math 101 Name 4/15

    Reading questions:

    1. What does the integral of a function f from x=a to x=b measure?
    2. Is the integral of f(x)=5x from x=-1 to x=3 positive or negative?
    Reminder:


    Due Monday 4/18 at 9am

    Section 5.2 The Area Function

    To read: All. Make sure you understand the definition of the area function and Examples 2, 3, and 4.

    E-mail Subject Line: Math 101 Name 4/18

    Reading questions:

    1. Let f be any function. What does the area function Af(x) measure?
    2. Let f(t)=t and let a=0. What is Af(1)?

    Reminder:


    Due Wednesday 4/20 at 9am

    Section 5.3 The Fundamental Theorem of Calculus

    To read: All, but you can skip the proof of the FTC if you'd like: we'll look at a different approach in class.

    E-mail Subject Line: Math 101 Name 4/20

    Reading questions:

    1. Find the area between the x-axis and the graph of f(x)=x^3+4 from x=0 to x=3.
    2. Does every continuous function have an antiderivative? Why or why not?
    3. If f(x)=3*x-5 and a=2, where is Af increasing? Decreasing? Why?
    4. How would your answer change if a=0?

    Reminder:


    Due Friday 4/22 at 9am

    Section 5.3 The Fundamental Theorem of Calculus

    To read: Re-read this section.

    No Reading Questions Today!

    Reminder:


    Due Monday 4/25 at 9am

    Section 5.4 Finding Antiderivatives: The Method of Substitution

    To read: All. Be sure to understand Examples 8, 9, and 10.

    E-mail Subject Line: Math 101 Name 4/29

    Reading questions:

    1. Explain the difference between a definite integral and an indefinite integral. I do not simply mean whether one is a number or a family, but what they each represent.
    2. What are the three steps in the process of substitution?
    3. Substitution attempts to undo one of the techniques of differentiation. Which one is it?


    Due Wednesday 4/27 at 9am

    Bring Questions for Exam 3

    No Reading Questions Today

    Reminders:


    Due Friday 4/29 at 9am

    Section 5.4 Finding Antiderivatives: The Method of Substitution

    To read: Re-read the section carefully.

    No Reading Questions Today

    Reminders:


    Due Monday 5/2 at 9am

    Section 5.4 Finding Antiderivatives: The Method of Substitution

    To read: Re-read the section carefully, again.

    No Reading Questions Today:


    Due Wednesday 5/4 at 9am

    Section 5.6 Approximating Sums: The Integral as a Limit

    To read: All

    E-mail Subject Line: Math 101 Name 5/4

    Reading questions:

    1. Explain, in your own words, the idea of using Riemann Sums to approximate integrals.
    2. If f(x) is decreasing on [a,b], will Ln underestimate or overestimate the integral of f from a to b? How about Rn?
    Reminder:


    Due Friday 5/6 at 9am

    Section 5.6 Approximating Sums: The Integral as a Limit

    To read: Re-read all

    E-mail Subject Line: No Reading Questions Due Today (so you're done for the semester!)

    Reminder:


    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


    Back to: Calculus 1 | My Homepage | Math and CS