Describes the usefulness of applying mathematical models to growth in one, two, or three dimensions to reveal the biological consequences of changes in the dimensions of organs or organisms. (AL)

Describes a variation of the familiar laboratory investigation on the spring and mass oscillator. (SK)

Demonstrates that the number of kilometers of highway in the U.S. tends to grow exponentially and discusses what can be done to modify this growth. (MLH)

Presents a reexamination of an intuitively geometric view of the nonrelativistic Pauli spinor in a simplified discussion of the connection between the rotation group and special transformations in the plane of projection. This view of the spinor is related to those based on the existence of an istropic or null vector. (SK)

Summarizes the Ising model of ligand binding as it applies to cooperative binding to long chain molecules. Also presents some illustrations which help to visualize the connection between the interaction parameters and the shape of the binding isotherm. (Author/MR)

A precise method of determining absorption maxima where Gaussian functions occur is described. The method is based on a logarithmic transformation of the Gaussian equation and is suited for a mini-computer. (MR)

Since many texts use an incorrect argument in obtaining the instantaneous velocity of a rotating body, a correct and concise derivation of this quantity for a rather general case is given. (Author/SK)

Discussed is wavelet theory, which provides ways to rearrange data to reveal features of a physical or mathematical system which might otherwise be hidden. This theory is compared to fourier analysis and the advantages of wavelet theory are stressed. Applications of this technique are suggested. (CW)

This document consists of four units. The first of these views calculus applications to work, area, and distance problems. It is designed to help students gain experience in: 1) computing limits of Riemann sums; 2) computing definite integrals; and 3) solving elementary area, distance, and work problems by integration. The second module views…

Describes a three-hour, one-semester graduate course to provide numerical methods and modeling techniques to handle problems in future courses or engineering practice. Includes rationale for topics such as interpolation, integration, and equation roots, among others. Indicates that all problems require computer use. (SK)

Discusses the classification of binary oxides as acidic, basic, or amphoteric. Demonstrates how a numerical scale for acidity/basicity of binary oxides can be constructed using thermochemical data for oxoacid salts. Presents the calculations derived from the data that provide the numeric scale values. (TW)

Discusses how all applications of mathematics have a unifying theme, namely, that of mathematical modeling. Three examples of models in science and technology are briefly described. These are suggested as suitable project work in the classroom, which involve collaborative work between science and mathematics. Advantages and benefits of modeling…

Describes the deterministic simulation (a given input always leads to the same output) and probabilistic simulation (new states are subject to predefined laws of chance). Provides examples of the application of the two simulations with mathematical expressions and PASCAL program. Lists seven references. (YP)

Presents a device to illustrate the concepts of entropy of mixing and the contribution of one term in the Gibb's equation. Notes the device is relatively easy to construct and provides a visual demonstration on diffusion. (MVL)

Presents the origin and mathematics of Hubble's Law of the expanding universe. Discusses limitations to this law and the related concepts of standard candles, elliptical galaxies, and streaming motions, which are conspicuous deviations from the law. The third of three models proposed as explanations for streaming motions is designated: The Great…