Math 280 B

Fall 2009

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 280 B is scheduled for Monday, Dec. 14, from 8:00 AM  - 10:00 AM.  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.

In your review, you should cover

• Readings in the textbook through the section on Green's Theorem (14.4), 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 14.3 and 14.4.  In this new material, be able to

• Know the fundamental theorem of line integrals and how to use it..
• Know the theorems regarding conservative fields and how to use them.
• Be able to say what differential forms are, including exact differential forms.
• Know and be able to use the component test for conservative fields and exact differential forms and use them to retrieve a potential function.
• Be able to define what connected and simply connected means.
• Be able to define what a simple closed curve is.
• Be able to define and describe the divergence (flux density) of a vector field.
• Be able to define and describe the k component of the curl of a vector field.
• Be able to state and to verify both forms of Green's theorem.
• As a part of the last three items (from 14.4) you might find the following useful in your review: On pages 884 - 886, problems 1 - 7, 11, 15, 17, 19, 21, and 33

Any questions? Please ask!