Exam III will be in the usual classroom on Thursday, April 24, 2008. It will cover sections 17.2-17.7, and will have around 55 points possible. There will be one repeated question from Exam^ II.

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.

Important: These formulas will be given on the test. You do not need to memorize them (although that would not be a bad idea), but you must understand them and be familiar with their details in order to use them effectively.

The following topics are likely to appear, although the exam is not necessarily limited to these topics:

1.	Line integrals by direct computation using a parameterization.
2.	The Fundamental Theorem for Line Integrals, statement and use.
3.	Green's Theorem, statement and use. Its version for regions with more than one boundary circle.
4.	curl and div. Be able to compute them, and be familiar with their geometric interpretations.
5.	Parameterized surfaces. Normal vectors and the vectors ru, rv, and ru \times rv. The area element dS.
6.	Surface integrals of functions. The graph-of-a-function case and the general parameterized case.
7.	Surface integrals of vector fields. The graph-of-a-function case and the general parameterized case. Be able to use the formulas in computation, as well as to develop dS from a parameterization.

The following topics do not appear, at least not explicitly: interpretation of the line integral as work, connected sets, open and closed sets, simply-connected domains, proof of Green's Theorem, using Green's theorem to find area, the Laplacian, nonorientable surfaces.

Exams from previous Honors Calculus classes can be found on their course pages (links to them appear on the course pages page). Some were 50-minute classes, but most were 75-minute classes. This course varies from semester to semester, so the exams may be quite a bit different from ours.