The final exam will be held in the usual room on Tuesday May 8, 1:30 - 3:30. It will start promptly at 1:30, so make sure you're on time. The test will cover the new material since the last exam (7.8, 8.1, 8.2) as well as whatever was covered on the first three exams. See the information pages for the first exam, second exam, and third exam. The remarks on these pages all apply to the final exam as well.

The test will be partly new material and partly old material. It will have six problems, possibly with several parts each. Calculators or other mechanical assistance are not needed and are not to be used.

As with the third exam, some trig identities will be provided. Again, you may bring a 4x6 (or smaller) card with notes. From the new material, the following topics are likely to be covered, though the exam is not limited to these topics:

• evaluating improper integrals (of both types) using limits
• recognizing when an integral is improper (esp. of type II)
• computing arc length, and the arc-length function s(x)
• computing surface area for surfaces of revolution, about the x- or y-axis

The Comparison Theorem from the end of section 7.8 will not be covered on the exam.

Advice:

• Look at the "Concept Check" questions at the end of Chapters 4 - 8 to find out which conceptual areas need review.
• Learn what the "routine" problems are, and practice so that you can do them quickly and easily. Remember, they always seem harder in an exam situation, so practice and build your confidence.
• You may need to brush up on computing derivatives and integrals (eg. chain rule, substitution, etc).

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 time to spend on the remaining ones.