Exam I will be in the usual classroom on Thursday, February 14, 2008 (sorry for the Valentine's Day exam, it can't be helped). It will cover sections 15.1, 15.3-15.7, and 16.1. There are 52 points possible.

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.

Some of the exam problems will be very similar to homework problems, while others will 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. Computation of partial derivatives, Clairaut's Theorem.
2. Implicit differentiation.
3. The tangent plane. Differentials and their interpretation as the linear part of the change. Calculation of the linear part of the change.
4. The Chain Rule.
5. The gradient. The four basic properties. Geometric interpretations of the gradient.
6. Extreme Value Problems. Critical points, investigation of values on the boundary of a domain.
7. Riemann sums. Be able to compute them for simple examples.

The following topics do not appear, at least not explicitly: finding domains and ranges, mathematical justification of Clairaut's Theorem or the Chain Rule, limits, related rates problems, second derivatives test for extreme values, extreme value word problems.

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.