## Calculus in a Real and Complex World

### Mary Ann Connors and

David R. Hayes

Department of Mathematics and Statistics

University of Massachusetts

Amherst MA 01003
dhayes@math.umass.edu

*Grant Number*: DUE: 9351380

The Department of Mathematics and Statistics
at UMASS-Amherst now offers two mainstream calculus courses. One is a
traditional course requiring the use of graphing calculators,
and the other is a course designed by former UMASS
Professor Frank Wattenberg that engages students in active
learning by focusing on examples of the application of calculus.
These applications are "serious" in that the computer is used to
get answers that would be very difficult to carry out by hand
calculation.

Wattenberg's textbook * Calculus in a Real and Complex
World* is the required text.
The course meets four times a week. In addition to attending three
lectures each week, students in the course also meet in our
ILI-funded computer laboratory once a week. Using the **Mathematica**
software, students see demonstrations of concepts learned in class,
experiment, make observations on their own, and learn how to solve
calculus problems on a computer.

Our poster session will feature photographs of students using the
lab, sample term projects, local newspaper clippings, and sample
lab exercises in the form of **Mathematica** notebooks. We will also
demonstrate POLYA, a program designed to collect and collate student
grades from a variety of sources. POLYA, which is now in use in our
lab, is designed to run on a computer lab server and collect and
collate student grades entered by both lecturers and lab instructors.

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