Math 31L.13
Calculus I with Environmental Emphasis
Fall 1997
Plan for Week 9
This week we continue our development of "shortcuts" (i.e.,
formulas) for calculating derivatives. In particular, we learn how to differentiate
trigonometric, inverse trigonometric, and logarithmic
functions, in addtion to expanding our list of formulas for power
and exponential functions.
Our lab this week develops sinusoidal models from apparently
periodic data. You may have begun to notice a somewhat oscillating pattern
in the types of labs themselves:
- labs proceeding from data to model formulas and/or graphical
representations -- as in Weeks 2, 3, 8, and now 9 -- and
- labs proceeding from a theoretical rate of change assumption (a differential
equation) to model formulas and/or graphical representations -- as
in Weeks 4, 5, 6, and 7.
Here is the syllabus for this week:
| Week 9 |
Date |
Topic |
Reading |
Activity |
|
|
|
|
|
| M |
10/27 |
Trigonometric functions |
4.6 |
|
| W |
10/29 |
Applications of Chain
Rule |
4.7 |
|
| Th |
10/30 |
Periodic functions |
|
Lab: Time and
Temperature |
| F |
10/31 |
Implicitly defined
functions |
4.8 |
|
|
|
|
Suppl.:
4.9 |
|
|
|
|
|
|
Notes
- 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, November 3.
Those papers should include solutions to the problems whose numbers are
boldfaced italics in the assignment below. The assignment
dates are start dates.
- Remember to submit your weekly journal entry by e-mail on or before
Friday, October 31.
Assignments
- Monday, Oct. 27, Sec. 4.6 / #1, 3, 4, 5, 6, 7, 13, 15, 16, 19, 23,
25, 26, 29, 32
- Wednesday, Oct. 29, Sec. 4.7 / #1, 2, 4, 5, 9, 10, 13, 14, 17,
18, 19, 20, 21, 24, 25
- Friday, Oct. 31, Sec. 4.8 / #1, 2, 4, 6, 9, 10, 11, 13,
14, 16, 17, 18
David A. Smith <das@math.duke.edu>
Last modified: October 26, 1997