Exam I will be held in the usual room at the usual time: 12:00-1:15 on Tuesday Sep. 23. It will start promptly at 12:00, so make sure you're on time. The test will cover sections 1.4-1.6, 1.8, 2.1-2.6. 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.

You will need to know from memory the derivatives of the six trigonometric functions. You also need to know the various rules for differentiation (product rule, quotient rule, chain rule, etc). You will need to be able to apply the rules reliably, especially the chain rule.

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

• Limits, both their intuitive meaning, and finding them analytically via the limit laws. One-sided limits, and the ways in which a limit may fail to exist.
• The meaning of continuity, graphically and via the definition involving limits. The ways in which a function may fail to be continuous at a point.
• Finding f '(a), or the instantaneous velocity, or the slope of a tangent line, analytically (using a limit).
• Finding the derivative of a function, using differentiation rules and formulas.
• Implicit differentiation.

Section 1.7 is not covered on the exam. Don't worry about the numbering of limit laws. You won't need to remember any trig identities.

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.