Math 180 E
Fall 2012
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, November 30, and
will cover section 4.4 through section 5.1 (excluding section 4.8
(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.
- Be able to discover (using derivatives) where a
function is
- increasing or decreasing
- has a maximum or minimum (using both first and second derivative
tests)
- is convex up or down
- has a point of inflection
- Be able to work optimization problems (4.7)
- Be able to apply l'Hôpital's
rule.(4.5)
- Be able to find the antiderivatives of a function (including initial
value problems).
- Be able to calculate an approximation for the area under a curve
(using Ln, Rn, and Mn).
- 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!