Exam III will be in the usual classroom on Tuesday, November 21, 2006. It
will cover sections 3.9 and 4.1-4.3.
Calculators or other mechanical assistance are not needed and are not to be
used. Blank paper will be provided, so all you will need is something to
write with.
There will be a mix of problems--- some very similar to the homework, some
based on the ideas presented in class, and possibly some that require the
application of our ideas in a new context. Something will be repeated that
appeared on Exam II.
As on any exam, it is wise to start with the problems that you feel
confident that you know how to do, before moving on to others.
The exam emphasizes the Mean Value Theorem. The following will definitely
be covered, although the exam not necessarily restricted to these topics:
1. | The local effect of f′. (both of the standard forms). |
2. | The global effect of f′, i. e. the Mean Value Theorem. |
3. | The Extreme Value Theorem. |
4. | Related rates problems. |
5. | Critical points and extreme values. Finding critical points, finding maximum and minimum values of functions. |
6. | The effect of f′ on the graph of f. Concavity, inflection points. |