Math 121 B
Spring 2006
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 121 will be held on Wednesday, April 26, and
will cover section 4.1 through section 4.6 of the textbook. In particular, be prepared
to:
- Be able to fully analyze a function for critical points, maxima, minima
(including local maxima and local minima), for points of inflection, for
intervals on which the function is increasing and decreasing, and determine
regions for which the function is concave up or down. Be also able to define
all of these terms.
- Be able to determine asymptotes of a function and to apply l'Hôpital's
rule.
- As a part of the above two items, you may be asked to sketch the graph
of a function.
- Be able to state the Mean Value Theorem and its applications, and to
verify it for a particular function.
- Be able to work optimization problems (4.6)
- Be able to write briefly about mathematicians that appear in the
end-of-chapter summaries and problem sets.
Any questions? Please ask!