Described is a sequence of calculus courses utilizing the computer to enhance concepts and ideas in calculus. (JLH)

Some of the implications and advantages of an instructional approach using results from the calculus of finite differences and finite sums, both for motivation and as tools leading to applications, are discussed. (MP)

Newton's method for finding roots of equations is described. How to find complex roots using the BASIC computer language is then presented, with the computer program included. (MNS)

Briefly described is a numerical calculus course which provides (1) experience and practice in programing and the use of the computer in problem solving, (2) intermediate and/or advanced techniques in FORTRAN IV programing, (3) elementary error analysis, (4) programing efficiency, and (5) documentation of programs. The course, designed to fulfill…

Detailed examples of the kind of interdisciplinary activity involving differential equations and the computer that are highly motivating to many pupils and can be easily integrated with current materials are provided. It is felt the projects illustrated can work well within courses and are not excessively time-consuming. (MP)

Computer algebra systems (such as MACSYMA and muMath) can carry out many of the operations of calculus, linear algebra, and differential equations. Use of them with sketching graphs of rational functions and with other topics is discussed. (MNS)

The so-called discrete approach in calculus instruction involves introducing topics from the calculus of finite differences and finite sums, both for motivation and as useful tools for applications of the calculus. In particular, it provides an ideal setting in which to incorporate computers into calculus courses. This approach has been…

Sophomore and junior students in the College of Engineering at Cornell University have been taught engineering mathematics using new computer software that performs exact symbolic algebraic and calculus operations. Describes this software, the computer-based mathematics laboratory, changes in the teaching/learning environment, and short- and…

Presented are 13 articles which contain abstracts and analyses of research reports related to mathematics education. The first article considers six working papers, on a variety of topics, from E. G. Begle and the Stanford Mathematics Education Study Group. Of the remaining reports, two deal with problem solving, five with some aspect of learning…

This paper reports on two related instructional intervention projects: one completed and the other ongoing. The first involved a "Tutored-Videotaped-Instruction" (TVI) strategy in a three-course calculus sequence; the second, an NSF-funded project using microcomputers, television, tutoring, testing, and related technologies and methods…

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (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…

Parts one and two of a one-year computer-oriented calculus course (without analytic geometry) are presented. The ideas of calculus are introduced and motivated through computer (i.e., algorithmic) concepts. An introduction to computing via algorithms and a simple flow chart language allows the book to be self-contained, except that material on…

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…

A description and evaluation are provided of the ISCI (Individualized Supplementary Calculus Instruction) project. ISCI is a computer-based resource that can be used with any text or computer system. If a student fails to solve homework problems, he can provide information about his attempted solution through a teletype or other computer terminal.…