Math 180 F
Fall 2007
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 7, and
will cover section 4.3 through section 5.2 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 apply the first and second derivative tests to a function.
- 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 work optimization problems (4.5)
- Be able to use Newton's method and the method of bisection to solve
simple problems.
- Be able to find the antiderivatives of a function.
- Be able to use sigma notation, including the rules for summations and
the basic formulae for the sum of the first n numbers, the sum of the
squares of the first n numbers, and the sum of the cubes of the first n
numbers.
Any questions? Please ask!