There are many geometrical approaches to the solution of the quadratic equation with real coefficients. In this article it is shown that the monic quadratic equation with complex coefficients can also be solved graphically, by the intersection of two hyperbolas; one hyperbola being derived from the real part of the quadratic equation and one from…

In the Spring of 2007, a group of highly motivated mathematics graduate students conducted a review of Duke's Calculus curriculum. They focused on two main problems. The first problem is the result of a very positive trend: a growing number of students are earning AP credit for Calculus I in high school. However, this results in Calculus II…

Computer algebra systems (CAS) have been around for a number of years, as has dynamic geometry. Symbolic geometry software is new. It bears a superficial similarity to dynamic geometry software, but differs in that problems may be set up involving symbolic variables and constants, and measurements are given as symbolic expressions. Mathematical…

Vietnamese students now enrolled in American high schools incur an extremely special need in English. After being taught subject matter disciplines in Vietnamese for many years, and while English is still a foreign language for them, these students are bound to go through two linguistic processes. First, while reading or sitting through lectures…

Discussed are the results of a study which suggests that people remember more mathematics and other high school material when learning occurs spaced out over several years and when each subsequent session involves broader applications of previously learned information. Highlights of this study and related studies are presented. (CW)

Described is an outline for a school mathematics project dealing with the theory of equations, specifically solutions to polynomials of the third and of the fourth degree. Cardano's method for solution of cubic equations and Ferrari's method for solution of quartic equations are included with examples. (JJK)

This report is intended to give an indication of the variety of careers available to persons with interest and preparation in the mathematical sciences. Each part focuses on a particular class of professions, with necessary training as well as the character of the work and general conditions of employment described. Parts I through V deal with…

Technological advances during the past few decades have revolutionized many complex systems that influence human activity. As the rate of technological progress accelerates, these systems will become more complex, and new ones will evolve. Citizens in a technological society need to be able to make intelligent choices about how technology will…

Technological advances during the past few decades have revolutionized many complex systems that influence human activity. As the rate of technological progress accelerates, these systems will become more complex, and new ones will evolve. Citizens in a technological society need to be able to make intelligent choices about how technology will…

This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)

The author states that this book was written for anyone who wants to know what calculus is all about, and that those with knowledge of some algebra and geometry should be able to understand it. That calculus should be called "slope finding" is discussed, and this term is used extensively. The book is divided into three chapters: (1) the…

This article traces the history of zero and its dual role as a placeholder, albeit of empty space, and as a number for computational purposes. The use of one symbol for both situations is shown to be tied to the adoption, and subsequent promulgation, of our modern numbering system. (JJK)

Examined are the three regular tessellations and derived semiregular tessellations whose regular polygons meet at common vertices. Included are BASIC computer program listings that explore the various combinations of regular polygons that can form regular or semiregular tessellations. (JJK)

This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…