Performance objectives for precalculus mathematics are listed after a look at the content of current calculus courses. (JT)

The author argues for a more enthusiastic use of mapping diagrams by demonstrating how effective they are in teaching some concepts in calculus. (MN)

Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)

Computer algebra systems are described. Features of such systems and information on MACSYMA, Maple, muMath, REDUCE, and SMP are given. (MNS)

An old way to determine asymptotes for curves described in polar coordinates is presented. Practice in solving trigonometric equations, in differentiation, and in calculating limits is involved. (MNS)

A calculus problem on finding the maximum volume of a box is discussed, with extensions to various types of boxes. (MNS)

A definition of convexity with six conditions is discussed and illustrated. (MNS)

A twenty-week course was designed around investigating many properties of the torus. Topology, differential geometry, and topics from both real and complex analysis were included. (SD)

A college course is described in which mathematics was taught through the perspective of historical development. Readings for the course and synopses of lectures are included. (DT)

A computer-managed exercise to enhance the meaning of the first and second derivatives of a function at a point is explained. A copy of the program written in BASIC PLUS is included. (DT)

A method is presented for finding an asymptote which is not parallel to the x or y axis in a graph. (DT)

The purpose of this study was to examine the effect on student understanding of Newton's Third Law in an introductory calculus-based physics class when a new graphical representational tool called a system schema was used throughout instruction to help visualize objects and interactions between them explicitly. The system schema serves as an…

Recently the Department of Mathematical Sciences at Middle Tennessee State University embarked upon the task of restructuring its undergraduate program. An important component of this restructuring was a recommendation for the use of technology to enhance the teaching and learning process. As a result, technology was rigorously used in the fall of…

An overview of the conceptual underpinnings, reasoning abilities and notational issues related to learning the Fundamental Theorem of Calculus (FTC) is provided. Using this theoretical framework, curricular materials were developed to promote these understandings and reasoning abilities in students. Results from a study that investigated the…

This paper focuses on student experiences of different mathematical expectations at the University of Michigan (UM). Upon entering UM, all students who choose mathematics take courses that use a reform curriculum. Data collection methods and the students who chose to participate in the study are described. These students' experiences in the UM…