Math 31L.13
Calculus I with Environmental Emphasis
Fall 1997
Plan for Week 5
This week we finish our initial study of the derivative (Chapter 2)
and prepare for a test next week on Chapters 1 and 2. The new idea this
week is rate of change of the rate of change, also known as the
second derivative. This function measures how rapidly and in what
direction a function graph is turning, i.e., it is the rate of change of
the slope function. In a physical context, it is called acceleration,
i.e., the rate of change of velocity.
Our lab this week brings together ideas from the Radioactive Decay lab
two weeks ago and the concept of natural base for exponentials.
The context is that of radioactive waste disposal issues on the Duke campus.
Here is the syllabus for this week:
| Week 5 |
Date |
Topic |
Reading |
Activity |
|
|
|
|
|
| M |
9/29 |
Second derivative |
2.5 |
|
| W |
10/1 |
Approximations |
2.6 |
|
| Th |
10/2 |
Exponential decay rates |
|
Lab: Radioactive Wastes |
| F |
10/3 |
Review Chapters 1, 2 |
|
|
|
|
|
Suppl.:
2.7, 2.8,
App. B |
|
|
|
|
|
|
Notes
- Your first take-home test starts on Monday, October 6. It will
cover all sections of Chapters 1 and 2 that have been assigned. The review
session this Friday is to help you prepare for that test.
- You are expected to read the relevant section of the text before
the class period using it.
- Your next homework papers will be turned in on Monday, October 6. Those
papers should include solutions to the problems whose numbers are boldfaced
italics in the assignment below. The assignment dates are start
dates. Since Sections 2.5 and 2.6 are included in the take-home test,
you should keep a copy of the solutions that you turn in for grading.
- Note the supplementary reading, which comprises sections of
the text that are included in the department's syllabus but are not allocated
class time in our syllabus. If you intend to study mathematics beyond this
course, you should read these sections.
- Remember to submit your weekly journal entry by e-mail on or before
Friday, October 3.
Assignments
- Monday, Sep. 29, Sec. 2.5 / #1, 2, 5, 8, 9,
10, 11; pp. 86-91 / #7, 14, 15, 17, 21, 28, 29, 30, 35, 37,
42, 43, 47
- Wednesday, Oct. 1, Sec. 2.6 / #1, 2, 4, 8, 9,
10; p. 146 / #2, 8, 13, 15, 16, 17, 20, 21
- Friday, Oct. 3, no additional assignment -- review for test
David A. Smith <das@math.duke.edu>
Last modified: September 25, 1997