Reading Assignments -
Math 101 - Calculus I
November 1997
Be sure to check back often, because the assignments may change.
For November 3
Section 4.2 More Differential Equations: Modeling Growth
- To read: Theorem 1 on page 256, the sections on Radioactive Decay and Biological Populations on pages 259-260, and the Afterword: Discrete versus Continous Growth beginning on page 264
- Be sure to understand:
The statement of Theorem 1 and Examples 3 and 4
Email Subject Line: Math 101 11/3 Your Name
Reading Question:
Find a solution to the Initial Value Problem y'=3y and y(0)=30 and check your answer by differentiation.
For November 5
Project 2 today. No Reading Assignment.
For November 7
Section 4.6 Optimization
- To read: Through Example 5
- Be sure to understand:
The discussion on pages 297-298 begining with Local vs. Global Extreme Values and
continuing through Example 3
Email Subject Line: Math 101 11/7 Your Name
Reading Questions:
- What is the difference between a critical point of f and a stationary point of f?
- Where can the maximum and minimum values of continuous function occur on a closed interval?
For November 10
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 11/10 Your Name
Reading Questions:
- What are the hypotheses of the Intermediate Value Theorem?
- What is the conclusion of the Intermediate Value Theorem?
For November 12
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 11/12 Your Name
Reading Questions:
- What are the hypotheses of the Mean Value Theorem?
- What is the conclusion of the Mean Value Theorem?
- Explain the MVT using "car talk" (that is, using velocity).
For November 14
No Reading Assignment today.
For November 17
Section 5.1: Areas and Integrals
- To read: Pages 341-349
- 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 11/17 Your Name
Reading Questions:
- What does the integral of a function f from x=a to x=b measure?
- Is the integral of f(x)=5x from x=0 to x=3 positive or negative?
For November19
Re-read pages 341-349 of Section 5.1.
Email Subject Line: Math 101 11/19 Your Name
Reading Question:
Is the integral of f(x)=5x from x=-1 to x=3 positive or negative? Why?
For November 21
Exam 3 today. No Reading Assignment.
For November24
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 11/24 Your Name
Reading Questions:
- Let f be any function. What does the area function A_{f}(x) measure?
- Let f(t)=t and let a=0. What is A_{f}(1)?
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