Discusses personal experiences in using microcomputers to teach differential equations and calculus, including programs written for and activities in a year-long calculus sequence called Calculus and Computers. Suggests that computers and their graphics capabilities be used to provide a mathematical environment in which students can interact and…

Described are computer program packages requiring little or no knowledge of computer programing for college algebra, calculus, and abstract algebra. Widely available computer algebra systems are listed. (MNS)

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

Pure and applied mathematical research is discussed briefly. The author gives an example of mathematical research on functional differential equations that was motivated by a student error on a calculus examination. (MK)

This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

An application of the integration of polynomials is presented as an example of how integrals can be used in areas outside mathematics and mathematical physics. (MP)

Ways of using the calculator as a vehicle for investigating one aspect of the square root concept are illustrated. (MK)

A number of questions are posed that can be answered with the aid of calculus. These include best value problems, best shape problems, problems involving integration, and growth and decay problems. (MP)

An alternative approach is described for presenting the idea of the derivative through the use of chords of a graph. (MP)

Suggests that, for some classes of functions, an algebraic method is available that provides a nonstandard application of the discriminant conditions as well as an exact method of optimization for precalculus students. Examples are given, and students should compare these methods with others regarding generality, ease, and efficiency. (AIM)

A project is described where the ultimate goal is to teach students methods of problem solving through an industrial engineering environment. Students practice sharing responsibility, understanding group dynamics, using resources efficiently, meeting deadlines, using mathematics in oral and written form, and applying the appropriate mathematics.…