Mathematics 2443-006 - Calculus IV - Fall 2001
Information about Exam II
Exam II will be in the usual classroom on October 23, 2001. 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.
Exam II will be worth 51 points, and will cover sections 16.1-16.8. There are no questions
about the Jacobian or any material from section 16.9. The approximate point breakdown by
section of the text is as follows:
| 16.1 | 4
|
| 16.2 | 5
|
| 16.3 | 12
|
| 16.4 | 8
|
| 16.5 | 6
|
| 16.6 | 10
|
| 16.7 | 0
|
| 16.8 | 6
|
| Total | 51
|
There is one problem in which you have to calculate a Riemann sum from a table of values for
the function. You will need to know the formula for the differential of surface area, dS.
You will be given the formulas for x, y, z, and dV in spherical coordinates.
The following topics will be emphasized:
| 1.
| Supplying limits of integration for double integrals over various regions.
|
| 2.
| Double integrals in polar coordinates.
|
| 3.
| Evaluation of multiple integrals.
|
There is only one problem involving a triple integral. Of course, there will be more on
the final exam.