Mathematics 2433-007 - Calculus III - Fall 2002
Information about Exam I
Exam I will be in the usual classroom on Thursday, September 19,
2002. Rather than taking your usual seat, you will need to sit so that
there is no one on either side of you.
Only a basic, non-graphing calculator may be used. Actually, there is no
need to use a calculator. Scratch paper will be provided, so all you will
need is something to write with.
The exam will be worth 50 points, and will cover sections 11.1-11.5 and
12.1-12.2. In addition to the 50 points, there are up to 3 bonus points. The
approximate point breakdown by section of the text is as follows:
| 11.1 | 6
|
| 11.2 | 6
|
| 11.3 | 6
|
| 11.4 | 9
|
| 11.5 | 4
|
| 12.1 | 10
|
| 12.2 | 9
|
| (bonus) | 3
|
| Total | 53
|
The following topics will definitely be covered (of course, the exam is not limited to
these topics):
| 1.
| tangent line slopes to parametric curves, arclength and
surface area in parametric contexts
|
| 2.
| polar coordinates, tangent line slopes, finding area inside
a polar curve
|
| 3.
| sequences, finding limits, convergence behavior of n^p and r^n
|
| 4.
| convergence of series, geometric series, test for divergence
|
You should know how to find ds for a parametric curve, but do not need to
memorize the formula for ds in polar coordinates.