Geomathematics is a developing field that is being used in practical applications. Classification is an important element and the dynamic-cluster method (DCM), a nonhierarchial procedure, was introduced this past year. A method for testing the degree of cluster distinctness was developed also. (MA)

Addresses the problem of the optimum angle at which a putter should release the shot in order to achieve maximum distance. (BB)

The author gives a three dimensional analog of Pascal's Triangle as an exercise in heuristic thinking and an introduction to the multinomial theorem. The analog involves finding the number of shortest routes to various rooms in a cubical apartment house. (MN)

Three constructions using thread are given for the hyperbolic paraboloid in addition to a method for constructing an approximation for the third-order saddle surface. (MN)

This article describes a one-semester junior and senior level course in applied mathematical optimization for undergraduates which provides the opportunity to test models by doing numerical experiments and to learn to use computer subroutines for solving optimization problems. (MN)

Emrick's proposed method for determining a mastery level cut-off score is questioned. Emrick's method is shown to be useful only in limited situations. (JKS)

How does one develop a fair distribution of equitable work loads for faculty involved in operating a cooperative education program? Attempts to specify the responsibilities required, estimate the amount of time needed to meet these responsibilities, and equate this time with the time required for meeting normal classroom requirements. (Author/RK)

A simulation experiment for the dissolution kinetics of steroids is described whose goals are to demonstrate the characteristics of the physical-chemical model for dissolution and to relate the physical-chemical model to the potential therapeutic availability of the drug. Computational details are given. (LBH)

Several examples of concrete mathematical models are discussed along with suggested criteria for good heuristic models. (MN)

This article examines the Pythagorean Theorem from a geometric point of view by suggesting some natural extensions of the theorem. The use of a more general theorem to prove a difficult one is suggested, where possible. The article includes figures and proofs. (Author/MA)

Presents a simple model whereby the work per cycle done on an external agent, and a sand reservoir, by a reversible heat engine can be analyzed explicitly. (Author/SL)

Analyzes the sudden drop in the isothermal entropy of mixing when two ideal quantum gases are made identical. (Author/SL)

Introduces the concept of mutual inertia, analogous to mutual inductance, through the study of oscillations in a periodic linear chain of particles, on an air-track, joined by loaded strings. (SL)

Demonstrates that a particle traveling in a helical path provides a mechanical model describing the quantum-mechanical wave function formalism. (SL)

This is the fourth and concluding article in a series on using mathematical techniques from history to provide an interesting way for middle graders to practice math. (Editor)