Math 180 D
Fall 2010
Exam 4 Review
Disclaimer: I have attempted to be comprehensive in the
following, but important items may have been omitted by mistake. If
you see such an omission, please let me know, but you are responsible
for all of the lecture material to date.
The fourth hour exam for Math 180 will be held on Friday, December 3, and
will cover section 4.2 through section 4.8 (skipping sections 4.6 (L'Hôpital's
Rule) and 4.7 (Newton's Method)) of the textbook. In particular, be prepared
to:
- Be able to state the corollaries to the mean value theorem and apply
them to simple problems (including graphing and to differential equations (problems 27 -
35 on page 252 would be
a good review for this part)).
- Be able to discover (using first and second derivatives) where a
function is
- increasing or decreasing
- concave up or down
- has a maximum or minimum
- has a point of inflection
- Be able to work optimization problems (4.5)
- Be able to find the antiderivatives of a function (remembering the
constant of integration)
Any questions? Please ask!