This is the first volume of the proceedings of the Committee on the Undergraduate Program in Mathematics (CUPM) Geometry Conference, held at Santa Barbara in June, 1967. The purpose of the conference was to consider the status of geometry in colleges at the undergraduate level. The conference, attended by undergraduate mathematics teachers,…

Instructional approaches to vectors in n-space are discussed. (SD)

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…

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

Some preliminary results of an investigation of the relationship among aptitude for statistics, previous attainment in mathematics, performance in school and university subjects, age, and sex are presented. Reference to development of a more appropriate curriculum for teaching statistics to university social science students is included. (DT)

An alternative approach to the basic concepts of measures of central location and dispersion is described. (DT)

The fundamental results of integration theory are shown to follow from an axiomatic definition of the integral as a real valued function whose domain is a subset of the set of real valued functions of a real variable. (SD)

The purpose of this study was to examine the mathematics curricula in the undergraduate colleges in Maryland to determine the curricular changes which had occurred over a five-year period from 1962 to 1967 and to ascertain the amount of influence the Committee on the Undergraduate Program in Mathematics (CUPM) recommendations had on these changes.…

THIS REPORT PRESENTS A PROGRAM FOR THE UNDERGRADUATE MATHEMATICAL PREPARATION OF ENGINEERS AND PHYSICISTS. THE FOLLOWING STATEMENTS SERVE AS UNDERLYING ASSUMPTIONS FOR ANYONE EXPECTING TO MAKE USE OF THE RECOMMENDATIONS--(1) THE PROGRAM IS ONE FOR THE PRESENT AND THE PROPOSALS ARE SUCH THAT THEY CAN BE CONTINUALLY MODIFIED TO KEEP UP WITH FUTURE…