By providing an example problem in solving sets of nonlinear algebraic equations, the advantages and disadvantages of two methods for its solution, the tearing approach v the Newton-Raphson approach, are elucidated. (CS)

Derives an expression for the orientational entropy of a rigid rod (electric dipole) from Boltzmann's equation. Subsequent application of Newton's second law of motion produces Debye's classical expression for the relaxation of an electric dipole in a viscous medium. (Author/GS)

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)

Presented is an account of some of the activities in mathematics that were carried on during World War II in the United States and comments on their impact on the development of mathematical sciences. (MP)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

A resource applications geometry module was developed and tested. Attitude data were collected. (MK)

Results of a teacher's effort to find which mathematics skills and concepts are really needed in different occupations are given. (MK)

The need for common content in A-level mathematics courses in England is discussed. Considerations include the type of student, needed skills, and strategies. (MK)

Presents an alternative derivation of the Fokker-Planck equation for the probability density of a random noise process, starting from the Langevin equation. The derivation makes use of the first two derivatives of the Dirac delta function. (Author/GA)

Definitions of estimating and approximating are given and areas where these skills are used (such as practical situations, problem solving, and measurement) are discussed. Nine activities which range from second to twelfth-grade level are suggested. (MK)

Presents a ray-tracing procedure based on some ideas of Herzberger and the matrix approach to geometrical optics. This method, which can be implemented on a programmable pocket calculator, applies to any conic surface, including paraboloids, spheres, and planes. (Author/GA)

A course of mathematical methods for students of different degree programs is outlined. An approach to the teaching of the course is described which allows continuity between sections of apparently different material. (MP)

A brief overview is presented of the use of soap bubbles to solve minimal problems. A new class of problems that can be solved with soap film models is presented. (MP)

Presents a method for determining the approximate radius vector of a planet or asteroid from two closely separated observation positions, using mathematics suitable for lower division college students. (MLH)

Presents a procedure for finding the elements of the orbit of an astronomical object from three or more observations. From a set of assumed elements an ephemeris is calculated and compared to the observations. (MLH)