Math 180 E

Fall 2012

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 E is scheduled for Friday, December 14, 12:00 PM - 2:00 PM.  It will be a mandatory, two-hour, in class, comprehensive exam. University regulations require that all students take the final exam at this date and time.

Our final exam will cover the material in our textbook through section 5.4 except for material omitted from 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
• PDF files of lectures, available on Moodle
• Earlier exams and exam review documents
• Homework

Since our last hour exam, we have covered sections 5.3 and 5.4 on integration.  In this new material, be able to

• Be able to define formally what a Riemann sum is, and what partitions, norms of partitions, and sample points are.  Be able to give the formal definition of the definite integral of a function over a closed interval and say when such integrals exist.
• Be able to work problems given a function, a partition, and a selection of sample points for a function over some interval.
• Be able to state and use the fundamental theorems of calculus.  Expect several problems asking you to calculate definite and indefinite integrals and the derivatives of functions expressed as integrals.
• In your review, you may find looking over the following problems (and working some of them) useful:
• On page 314, problems 1 - 41
• On page 320, problems 1 - 23
• There may be an essay question on this exam. If that happens, your grade on that question will be determined by the content, clarity, and composition of your response.

Any questions? Please ask!