Math 180 D
Fall 2010
Final Exam 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 final exam for Math 180 D is scheduled for Monday, December 13,
from 12:00 noon - 2:00 PM It will be a
mandatory, two-hour, in class, comprehensive
exam. University regulations require that all students in this section take the
final exam at this date and time.
Our final exam will cover the material in our textbook through section 5.4
except as noted in earlier exam reviews
In your review, you should cover
- Readings in the textbook (through 5.4, with exceptions as noted in
earlier exam reviews)
- Your lecture notes
- Earlier exams and exam review documents
- Homework
Since our last hour exam, we have covered sections of chapter
5 (on integration). In the material on integration, be able to
- Be able to calculate an approximation for the area under a curve.
- 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.
- Be able to define a partition, the norm of a partition, and say what a
Riemann sum is.
- Be able to give a careful definition of a definite integral.
- Be able to state and use the mean value theorem for definite integrals
(page 345).
Be able to calculate the average of a function (page 340).
- Be able to state and use the fundamental theorems of calculus.
Expect several problems asking you to calculate definite and indefinite integrals.
Any questions? Please ask!