| Week |
Date |
Topic |
Homework Due |
Reading |
Goals / Notes |
| 1 |
2/6/06 |
Course introduction & Implicit differentiation (17.1) |
None |
§17.1, particularly p. 536 (example 17.1 part
b) |
Understand goals and structure of course, Be able to follow
logarithmic differentiation
|
| 2/7/06 |
No workshop this week |
| 2/8/06 |
Logarithmic Differentiation (17.2) |
PS1: §17.1 #1, 2, 3
|
§17.2 |
Be able to use logarithmic differentiation to find
a derivative of a function, Be able to recognize when to use
logarithmic differentiation |
| 2/9/06 |
No problem session this week |
| 2/10/06 |
Implicit Differentiation (17.3) |
PS2: §17.2 #1, 2, 3, 4, 7
|
§17.3, particularly examples 17.1 and 17.4 |
Understand what is meant by an implicitly defined function, Be
able find derivatives of functions given implicitly, Use implicit
differentiation to find the slope of the tangent line to a curve at
a point, Understand when to use implicit differentiation
|
| 2 |
2/13/06 |
Related Rates (17.4) |
PS3: §17.3 #1, 3, 5, 6, 11, 12(b,e,g)
|
§17.4 |
Be able to use implicit differentiation to solve problems
("related rates" problems)
|
| 2/14/06 |
Workshop #1 |
| 2/15/06 |
Geometric Sums (18.1) |
PS4: §17.4 #2, 3, 4 [5, 9, 14 are
recommended but you do not have to turn in]
|
§18.1 |
Be able to recognize a finite
geometric sum and identify its
common ratio, Be able to express a geometric sum in closed form,
Be able to compute a numeric geometric sum |
| 2/16/06 |
Gateway exam: Differentiation and
Advanced Algebra Gateway exams will be given in the problem
sessions. The gateway exams will be held during the problem
sessions. |
| 2/17/06 |
Geometric Series and Summation Notation (18.2) |
PS5: §18.1 #2, 3, 19, 25, [6, 7, 15, 16, 30, 33 are recommended
but you do not have to turn in] |
§18.2, 18.4 |
Be
able to understand the terminology associated with infinite
geometric series, Be
able to determine if a given geometric series converges or
diverges, Be
able to find the sum of a given convergent geometric series,
Be
able to express a geometric sum or series using summation
notation |