The history of the study of dynamical systems is traced, examples are given, and the contribution of Birkhoff and Smale are described. (DT)

An identity for sin x/x is proved. Rate of convergence, a geometric interpretation, and an application from physics are discussed. (DT)

The title may appear daunting, but the exercises, which can be presented to students from middle school to graduate school, are not. The exercises center on creating fractal images in the xy-plane with free. easy-to-use software and questions appropriate to the level of the student.

Presented are recommendations from a conference on two-year college mathematics, relating to the curriculum and new technologies, collaborative efforts with secondary schools and post-secondary groups, and faculty development and renewal. (MNS)

This article investigates the algebraic structure formed when the process of finding the greatest common divisor and the least common multiple are considered as binary operations on selected subsets of positive integers. (DT)

The relationship of the harmonic mean of two positive real numbers to the geometric mean and to the arithmetic mean is discussed; two geometric constructions for the harmonic mean are given. (DT)