Math 180 C

Fall 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 180 will be held on Friday, December 1, and will cover section 4.3  through section 4.7 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.

Any questions? Please ask!