Exam I will be in the usual classroom on Wednesday, September 21, 2005. It will cover the material up through sequences, but not series.

Calculators or other mechanical assistance are not needed and are not to be used. Blank paper will be provided, so all you will need is something to write with.

Fifty minutes is not very long for an exam, but you should be able to finish without rushing, provided that you give brief, clear answers without unnecessary explanation. As on any exam, it is wise to start with the problems that you feel confident that you know how to do, before moving on to others.

The exam is at a more sophisticated conceptual level than would be used for a regular calculus class, and one need not get 90% for an A. Just relax and do your best.

The main topics are parameterization of curves, arclength, polar coordinates, and the basic concepts about sequences. The following will definitely be covered, although the exam not necessarily limited to these topics:

1.	The concept of parameterization of a curve, standard examples of parameterizations.
2.	The computation and meaning of dy/dx for parameterized curves.
3.	Polar coordinates. Going back and forth between the graph of r = f( theta ) in rectangular theta-r coordinates and its graph in polar coordinates on the x-y plane.
4 .	The differential of arclength ds, in parameterized and polar form, and its use.
5.	Sequences and convergence. Examples of sequences, the Squeeze Principle, monotonicity and boundedness, the Monotonic Sequence Theorem.

This exam does not have difficult computations, and it is certainly not necessary to memorize formulas. It does not have problems involving finding area under or between curves given by parameterizations. There is nothing involving surface area. There is nothing specifically from the review lectures on rate of change or Riemann sums (of course, those ideas or equivalent ones underlie all of calculus). The exam does not require a good knowledge of trigonometric functions or an understanding of the precise epsilon definition of convergence (although it should).

The format of the exam will be similar to those of the exams that I wrote for Honors Calculus I, II, III, and IV, which can be found on their course pages (links to them appear on the course pages page).