Math 101 - Calculus I - Reading Assignments
November 1998

Be sure to check back, because this may change.
(Last modified: Thursday, October 29, 1998, 8:49 AM )

I'll use Maple syntax for mathematical notation on this page.
All numbers indicate sections from Ostebee/Zorn, Vol 1.

For November 2

Section 4.6 Optimization
  • To read : Through Example 5
  • Be sure to understand : The discussion on pages 297-298 beginning with Local vs. Global Extreme Values and continuing through Example 3

Email Subject Line : Math 101 11/2 Your Name

Reading Questions :

  1. What is the difference between a critical point of f and a stationary point of f?
  2. Where can the maximum and minimum values of continuous function occur on a closed interval?

For November 4

Work on Project 2. No Reading Assignment for today.

For November 6

Section 4.10 Why Continuity Matters
  • To read : All
  • Be sure to understand : The statement of the Intermediate Value Theorem, Example 2

Email Subject Line : Math 101 11/6 Your Name

Reading Questions :

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

For November 9

Section 4.11 Why Differentiability Matters: The Mean Value Theorem
  • To read : Through page 334
  • Be sure to understand : The statement of the Mean Value Theorem; the section What the MVT Says on page 333; Question 1 and Theorem 9 on page 334

Email Subject Line : Math 101 11/9 Your Name

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).

For November 11

We'll talk about The Big Picture today. No Reading Assignment.

For November 13

Section 5.1 Areas and Integrals
  • To read : All
  • Be sure to understand : The definition of the integral on page 342; Example 2; the section Properties of the Integral beginning on page 345

Email Subject Line : Math 101 11/13 Your Name

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? Why?

For November 16

Exam 3. No Reading for today.

For November 18

Section 5.2 The Area Function
  • To read : All
  • Be sure to understand : The definition of the Area Function on page 357; Examples 1 and 2

Email Subject Line : Math 101 11/18 Your Name

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)?

For November 20

Section 5.3 The Fundamental Theorem of Calculus
  • To read : All, except that you may skip the proof of the FTC beginning on page 373 (we'll see a different proof in class)
  • Be sure to understand : The statement of both the first and second forms of the Fundamental Theorem; Example 3

Email Subject Line : Math 101 11/20 Your Name

Reading Questions :

  1. Find the area between the x-axis and the graph of f(x)=x3 + 4 from x=0 to x=3.
  2. Does every continuous function have an antiderivative? Why or why not?
  3. What is the difference between a definite integral and an indefinite integral?

For November 23

Section 5.3 The Fundamental Theorem of Calculus
  • To read : Re-read this section
  • Be sure to understand : Make sure you really understand both statements of the Fundamental Theorem.

Email Subject Line : Math 101 11/23 Your Name

Reading Questions :

  1. If f(x)=3x-5 and a=2, where is Af increasing? decreasing? Why?
  2. How would your answer change if a=0?

For November 25

Thanksgiving Break.

For November 27

Thanksgiving Break.

For November 30

First day after Break. No Reading Assignment for today.


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Last modified: Thursday, October 29, 1998, 8:49 AM