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Mathematics 2443-006 - Calculus IV - Fall 2001

Information about Exam I

Provided that we have electical power in the building, Exam I will be in the usual classroom on September 20, 2001. Rather than taking your usual seat, you will need to sit so that there is no one on either side of you.

I will read the newspaper for the first few minutes of class, before handing out the exams (just kidding).

Only a basic, non-graphing calculator may be used. Actually, there is no need to use a calculator. Scratch paper will be provided, so all you will need is something to write with.

A few problems may be given in unusual notation, such as computing the derivative of x with respect to f for a function x(f,g). Prepare for this by working homework problems which involve unusual symbol names.

The exam will be worth 52 points, and will cover sections 15.1-15.7. The approximate point breakdown by section of the text is as follows:

15.1 3
15.2 4
15.3 17
15.4 7
15.5 4
15.6 9
15.7 8
Total 52

The following topics will be emphasized:
  1. Calculation of partial derivatives.
  2. Geometric interpretations and meanings of partial derivatives, level curves, and linear approximation.
  3. The gradient: calculation, use in computing directional derivatives, relation with level lines and surfaces.

There will be minimal emphasis on limits, and on setting up maximum-minimum problems. Of course, those topics are likely to be covered on the Final Exam.