How min-max problems can be solved with trigonometry and without calculus is described. (MNS)

The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)

The predicted and actual achievement in college calculus is compared for students who had studied two semesters of calculus in high school. The regression equation used for prediction was calculated from the performance data of similar students who had not had high school calculus. (CT)

Offers an approach to the understanding and to the teaching of the fundamental theorem of calculus. Stresses teaching the relation between a function and its derivative and the functions themselves. (YP)

Introduces a proof of Sarkovskii's Theorem based on the intermediate value theorem, making it accessible to readers with knowledge of calculus. The theorem deals with k-period continuous functions, functions for which fk(x)=x, where fk(x) is the composition of the f function k times. (MDH)

This document, a report of a seminar arranged by the Royal Belgian Society of Engineers and Industrialists, contains 35 papers illustrating the application of modern mathematics in engineering. There are eleven sections: Statistics, Operational Research, Boolean Algebra, Numerical Analysis, Eigenvalues, variations, Integral Equations and…

A simple way to introduce natural logarithms and e is presented. The standard approach is outlined, followed by the approach via differentiating the exponential functions that the student knows about. (MNS)

This paper compliments two recent articles by the author in this journal concerning solving the forced harmonic oscillator equation when the forcing is periodic. The idea is to replace the forcing function by its Fourier series and solve the differential equation term-by-term. Herein the convergence of such series solutions is investigated when…

There has been a broad wave of change in tertiary calculus courses in the past decade. However, the much-needed change in tertiary pre-calculus programmes--aimed at bridging the gap between high-school mathematics and tertiary mathematics--is happening at a far slower pace. Following a discussion on the nature of the gap and the objectives of a…

REPORTED ARE THE FINDINGS AND RECOMMENDATIONS OF A PANEL ESTABLISHED BY THE ADVISORY COUNCIL ON COLLEGE CHEMISTRY (ACCC) WORKING COOPERATIVELY WITH THE COMMITTEE ON THE UNDERGRADUATE PROGRAM IN MATHEMATICS (CUPM). THE FUNCTION OF THIS PANEL WAS TO DETERMINE THE APPROPRIATENESS OF RECOMMENDATIONS FOR CHANGES IN THE UNDERGRADUATE MATHEMATICS…

Presented are reviews of several microcomputer software programs. Included are reviews of: (1) Microstat (Zenith); (2) MathCAD (MathSoft); (3) Discrete Mathematics (True Basic); (4) CALCULUS (True Basic); (5) Linear-Kit (John Wiley); and (6) Geometry Sensei (Broderbund). (RH)

Mathematics is considered a performing art. Examples illustrating this view are presented. Activities discussed are from the Madison Project materials and the mathematics program at University High School in Urbana, Illinois. Activities stress inventing strategies for attacking problems for elementary and secondary school mathematics. (RH)

This column contains brief notes on graphing in three dimensions; patterns in Pascal's triangle; plotting graphs by computer; and an application of the hypocycloid. (MM)