REPORTED IS THE DEVELOPMENT OF UNDERGRADUATE MATHEMATICS COURSES PROPERLY REFLECTING THE MATHEMATICAL NEEDS OF STUDENTS IN THE RAPIDLY DEVELOPING ENGINEERING, PHYSICAL, AND SOCIAL SCIENCES. THE PURPOSE OF THIS UNDERGRADUATE PROGRAM IS TO PERMIT STUDENTS TO DEVELOP AND NURTURE INTERESTS IN APPLIED MATHEMATICS AT AN EARLY STAGE SO THAT SIGNIFICANT…

Described is a general college curriculum in mathematics that can be taught by a college staff with as few as four teachers. This report considers four related problems in mathematical education, particularly in colleges of arts and sciences. First, there is the problem of uncertainty about curriculum content and sequence. Second, the…

Presented is a program for the undergraduate mathematical preparation for work in computer science. Discussed are three types of courses: (1) mathematics courses of a general nature, which should be available for the prospective specialist in Computer Science, (2) technical courses in Computer Science, most of which will generally be taught…

Chio's method of evaluating determinants by successive reduction of size is explained. (MN)

The author gives a three dimensional analog of Pascal's Triangle as an exercise in heuristic thinking and an introduction to the multinomial theorem. The analog involves finding the number of shortest routes to various rooms in a cubical apartment house. (MN)

This article describes a one-semester junior and senior level course in applied mathematical optimization for undergraduates which provides the opportunity to test models by doing numerical experiments and to learn to use computer subroutines for solving optimization problems. (MN)

The author points out a communication gap between mathematics and the other academic disciplines and advocates more double-subject undergraduate degrees with more emphasis on the philosophy and ideas behind a subject and less on techniques. (MN)

In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)

This article is the first of two parts of a paper based on a collection of lectures dealing with the possible use of history of mathematics in mathematics education. A lecture course in the history of mathematics for teachers is described in detail and then more general points are discussed. (Author/MN)

The probabilities of six-card poker hands are derived and compared to those of the five-card poker hands. (JT)

Procedures are described for teaching statistical inference and decision-making without lengthy pre-requisite work in descriptive statistics and probability theory. (JLH)

This paper discusses ways of discussing limits in the secondary classroom. Particular attention is paid to showing that hypothesized answers are not limits to given sequences. (SD)

This article was written in part to celebrate the anniversaries of landmark mathematical works by Newton and Descartes. It's other purpose is to dispel some myths about Sir Isaac Newton and to encourage readers to read Newton's works. (PK)

Described is the development and implementation of a course on the history of irrational numbers for inservice mathematics teachers in Israel. Some of the materials included in the course are discussed. (RH)

The rational plane, consisting of the points in the Cartesian plane having two rational coordinates, is a model in which certain properties do not hold. Nine theorems are discussed. (MNS)