| Week |
Date |
Topic |
Homework Due |
Reading |
Goals / Notes |
| 7 |
| 3/20/06 |
Derivatives of inverse trig functions (21.4) |
PS17: 21.3 #1, 2, 3, 10, 18, 23 [5, 6, 12, 14 are recommended
but you do not have to turn them in]
|
§21.4 |
Understand how to use implicit differentiation to
find the derivatives of inverse trig functions, Be able to find
derivatives of expressions involving inverse trig functions |
| 3/21/06 |
Workshop #5: Exam Review |
| 3/22/06 |
L' Hospital's Rule
|
PS18: §21.4 #1, 2, 3, 4, 5 |
Appendix F |
Be able to recognize limits of "indeterminate form"
0/0, ∞/∞, 0⋅∞, 1^∞, ∞^0, and 0^0, Be able to evaluate limits of the
above forms using L' Hospital's Rule |
| 3/23/06 |
Midterm I from 7-9pm in Science
Center Hall D. Note that your CA may be holding a problem session
at an alternate day/time. Check with your CA for details. |
| 3/24/06 |
Net change (22.1) |
No homework |
§22.1 |
Be able to find net change in a function given a
constant rate of change for the function, Be able to approximate
the net change in a function given a rate of change which is not
constant, Be able to visualize net change as the area under a
particular curve |
| 8 |
3/28/06 |
Spring break |
| 9 |
| 4/3/06 |
Definite integral (22.2) |
PS19: §22.1 #4; p. 1118 # 3, 4, 6, 11, 13 |
§22.2, particularly p. 725-272, You may want to review
§18.4 |
Be able to approximate the area under a curve using
left- and right-hand sums, Understand the definition of the
definite integral as the limit of a sum, Understand the signed area
under a curve, Be able to calculate simple definite integrals, Be
able to interpret the derivative as the signed area under a curve
or as the net change in amount |
| 4/4/06 |
Workshop #6 |
| 4/5/06 |
Signed Area (22.3) |
PS20: §22.2 #1, 4
|
§22.3 |
Be able to evaluate certain integrals by examining
the signed area underneath the curve. |
| 4/6/06 |
Problem sessions: Trigonometry
review. These are mandatory review sessions for anyone who did not
pass the second gateway exams. They are optional for those who did
pass the second gateway. |
| 4/7/06 |
Properties of the Definite Integral (22.4) |
PS21: §22.2 #5, 6 §22.3 #1, 3, 5 (Note that the 22.3
problems are all to be done by thinking in terms of signed area.
Show your work. No credit will be given for answers found using
other formulas and methods).
|
§22.4 |
Be able to simplify integrals using the properties
stated on p. 738 |
| 4/7/06 |
Project Topic and
Groups Assigned: This semester, you will be required to learn an
advanced calculus topic and to prepare a lesson on the topic. The
topics will be assigned, then the group will learn the topic
together and meet with the instructor to assess their
understanding. Later in the semester, the group will turn in a
short paper on the topic, an outline of what they plan to do for
the lesson. The lesson will be presented during reading period.
More details will be given in class. |