The Final Exam will be held in the usual room on Wednesday December 12, 1:30-3:30 pm. It will start promptly at 1:30, so make sure you're on time. The test will cover the same material that was covered in exams I - III, as well as sections 16.1 - 16.4. Some extra emphasis will be given to the newer material.

You are permitted to bring a 4x6 index card with notes on both sides. Think carefully about what to put on your card! Calculators or other mechanical assistance are not needed and are not to be used.

See first exam, second exam, and third exam for topics to be covered from the first three exams. For the newer material, the following topics are likely to be covered, though the exam is not limited to these topics:

• vector fields in two and three dimensions
• line integrals of functions (with respect to ds, dx, and dy) and of vector fields
• conservative vector fields and their properties
• testing for conservativity
• the fundamental theorem of line integrals
• Green's theorem, applications (eg. area)

Advice: I recommend first reviewing homework problems from each section, perhaps doing a few odd-numbered ones and checking your answers. If you get one wrong, don't skip ahead, but tackle it right away and find out how it works. There may be a similar example worked out in the section, or among one of our graded problems, or you can try getting help. I also recommend the "Concept Check" questions at the end of each chapter as a way of finding out where to focus your efforts. There are extra problems there too that are worth trying out.

When it comes time for the test itself, relax and do the best you can. Because you have studied, you know which topics you know best, and can get those problems out of the way quickly. Then you'll have plenty of time to spend on the remaining ones.