The purpose of this study was to show how the concept of vector space can serve as a unifying thread for mathematics programs--elementary school to pre-calculus college level mathematics. Indicated are a number of opportunities to demonstrate how emphasis upon the vector space structure can enhance the organization of the mathematics curriculum.…

This study attempted to determine (1) the nature of the influences conditioning college mathematics, (2) the impact of these influences, and (3) the changes which seem to have resulted during three chronological periods from 1890 to 1945. For each period of the study certain basic questions were investigated (1) learning theory in the teaching of…

The materials presented in this monograph are intended to be included in a course on ordinary differential equations at the upper division level in a college mathematics program. These materials provide an introduction to the numerical integration of ordinary differential equations, and they can be used to supplement a regular text on this…

The purpose of this booklet is to provide interim guidance for those colleges that cannot immediately effect the recommendations of the Committee on the Undergraduate Program in Mathematics (CUPM) 1963 report. The recommendations in the 1963 booklet were for the first four years of a seven-year program leading to the Ph.D. and a career in…

This guidebook is intended to provide information about the location, size, staff, library facilities, course offerings, and special features of departments in mathematical sciences in four year colleges and universities in the United States and Canada. The information is presented in two parts: (1) information about colleges offering…

Reported is the result of research on combinatorial and algorithmic techniques for information processing. A method is discussed for obtaining minimum covers of specified cardinality from a given weighted graph. By the indicated method, it is shown that the family of minimum covers of varying cardinality is related to the minimum spanning tree of…

Functions with a variety of properties (sets of discontinuities, unbounded derivations, etc.) are discussed. (SD)

A discussion of differential equations is accompanied by an analysis of two situations whose solutions require differential equations. A computer program is given that will solve these equations. (MP)

Nine examples of this principle show what a powerful tool it is. Several map coloring theorems are proven and some exercises are listed. (MP)

Presents evidence that the sex gap in both math performance and attraction to math can be reduced by adopting classroom reward and task structures which strengthen the math performance of females without adversely affecting that of males. (Author)

Ten recent results in pure mathematics are described, covering the continuum hypothesis, Diophantine equations, simple groups, resolution of singularities, Weil conjectures, Lie groups, Poincare conjecture, exotic spheres, differential equations, and the index theorem. Proofs are omitted, but references are provided. (DT)

A simple geometric construction giving acceptable approximations to the locations of twelve points for placing frets on a guitar is described both geometrically and analytically. (DT)

A nontraditional approach of graphing equations using parallel axes produces some dual concepts when compared to graphing equations with the traditional perpendicular axes. (JT)

Described is the construction of a computerized test bank to generate and score tests in college algebra, trigonometry, and intermediate algebra; including a discussion of uses, advantages and disadvantages of computerized testing. (JLH)