Use of the computer program "Integrate Using Definition" can help students develop understanding of integral. Several applications of the program are discussed. (MNS)

A problem that most high school calculus students can explore is presented. It can help students understand such mathematical topics as functional notation, composition of functions, the solving of systems of equations, and the derivative. A computer program is included. (MNS)

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

Shows how a simple spreadsheet program can be used to teach calculus concepts more effectively through simultaneous use of review questions and instructions, actual manipulation of data and formulas, and visual illustration of results. Concepts illustrated include the difference quotient and derivation of a function; difference and differential;…

Three activities with Knuth functions are discussed and illustrated, with sample computer programs listed. (MNS)

Shows that Simpson's rule can be obtained as the average of three simple rectangular approximations and can therefore be introduced to students before they meet any calculus. In addition, the accuracy of the rule (which is for exact cubes) can be exploited to introduce the topic of integration. (JN)

Described is a series of five related microcomputer-based laboratory analysis programs that are used by students in a college calculus-based physics course. With minor modifications these programs, which are written in BASIC, could be used in most beginning undergraduate laboratory science courses. (RH)

Demonstrates how microcomputers can be used in teaching differential calculus, iteration, integral calculus, graphs, and statistics. Several ideas for putting this information into practice are outlined. Sample computer programs are included for the discussions on differential calculus, integral calculus, and iteration. (JN)

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)

Offers information on a project to improve students' understanding of derivatives. Students use the software package "Cactusplot" which allows them to calculate the slope at various points, and "Graphical Analysis III" software to graph the data and modify the graphs if necessary. (ASK)

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)

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…

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Described are materials developed to add to existing complex-number units and how they have been used in second-year algebra and precalculus classes. Discussed is software developed, objectives, and classroom materials. Two worksheets are included. A computer program is provided. (CW)

Given are instructions for teaching spreadsheet use for problem solving in mathematics. Examples of relevant problems from algebra through calculus are provided. The advantages of using computer spreadsheets in this application are stressed. (CW)