Exam I will be held in the usual room at the usual time: 10:30-11:20 on Friday Feb. 15. It will start promptly at 10:30, so make sure you're on time. The test will cover sections 1.1-1.3, 2.1-2.3, 2.5, and 3.1.

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

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

• Manipulation of graphs of functions by translation and stretching.
• Symmetry of graphs of functions.
• 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 Squeeze Theorem and its use.
• 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.
• The Intermediate Value Theorem and its use.
• Finding f '(a), or the instantaneous velocity, or the slope of a tangent line, analytically (using a limit).

Don't worry about the numbering of limit laws, or continuity from the right or left. You won't need to remember any trig identities, or the graphs of trig functions other than sine and cosine.

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.

If you want something else to look at, try looking around other math professors' web pages, starting from here. Many of them have past exams, solutions, and advice. Another excellent place to look is the UC Davis Calculus Page. It has good advice on preparing for exams, and some sample exams (though these do not necessarily cover the same range of topics).

If you want to try out a practice exam (try professors Brady, Lifschitz, McCullough, or Murphy), I recommend doing it under realistic conditions, with a time limit and no interruptions. Be aware that our exam may be somewhat different from theirs.