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Mathematics 1823-001H - Honors Calculus I - Fall 2006

Information about Exam III

Exam III will be in the usual classroom on Tuesday, November 21, 2006. It will cover sections 3.9 and 4.1-4.3.

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.

There will be a mix of problems--- some very similar to the homework, some based on the ideas presented in class, and possibly some that require the application of our ideas in a new context. Something will be repeated that appeared on Exam II. 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 emphasizes the Mean Value Theorem. The following will definitely be covered, although the exam not necessarily restricted to these topics:
  1. The local effect of f′. (both of the standard forms).
  2. The global effect of f′, i. e. the Mean Value Theorem.
  3. The Extreme Value Theorem.
  4. Related rates problems.
  5. Critical points and extreme values. Finding critical points, finding maximum and minimum values of functions.
  6. The effect of f′ on the graph of f. Concavity, inflection points.

You should know the various trigonometric functions and their graphs, and the law of cosines. You should know how to use the Mean Value Theorem to verify facts about the way that functions change values.The following topics do not appear, at least not explicitly: Rolle's Theorem, verification of the Mean Value Theorem.

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. Of course, these were different classes, so the exams may be quite a bit different.