Exam I will be in the usual classroom on Tuesday, September 18, 2007. It
will cover sections 11.1-11.4 and 12.1-12.2.
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.
Many of the exam problems will be very similar to homework problems. Some
may draw upon the material presented in the lectures. 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 following topics are very likely to appear, although the exam is not
necessarily limited to these topics:
1. | Parameterization of curves. Calculating lengths, areas, and surface area using a parameterization. |
2. | Polar coordinates. Graphs of equations of the form r = f(\theta). Calculation of lengths and areas using polar coordinates. |
3. | Sequences and convergence. Geometric sequences. |
4. | Monotonic sequences and the Monotonicity Theorem. |
5. | Series. Meaning of convergence of a series. Geometric series. |