Exam III will be held in the usual room at the usual time: 12:00-1:15 on Tuesday Nov. 25. It will start promptly at 12:00, so make sure you're on time. The test will cover sections 3.9, 4.1-4.5, and 5.1. Be sure to bring your student ID.

The test will have four or five problems, possibly with several parts each. Calculators or other mechanical assistance are not needed and are not to be used.

As always, it will be important to know all of the basic derivatives (power functions and trig functions, mostly)

The following topics are likely to be covered, though the exam is not limited to these topics:

• the definition of the integral, as a limit of Riemann sums
• estimating an integral using a Riemann sum
• the relation between definite integrals and area; also, the net change theorem
• the fundamental theorem: part 1 (continuous functions have antiderivatives, obtained by integrating up to x) and part 2 (using an antiderivative to evaluate a definite integral)
• indefinite integrals (= antiderivatives)
• substitution for indefinite integrals and definite integrals
• finding the area between two curves

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 more time to spend on the remaining ones.