A computer program that simulates the random evolution of a metabolic pathway is given. The program shows that natural selection preserves favorable traits if they occur in a specific sequence. (KR)

Discussed are solutions to the problem "What is the expected number of rolls for the total first to exceed 6?" Several algebraic solutions are presented. A computer program which may be used to simulate this problem is included. (CW)

Describes the use of simulation to introduce the bootstrapping technique of creating confidence intervals for the mean, median, and variance. These bootstrap confidence intervals are compared to the traditional confidence intervals for the purpose of analyzing accuracy of the technique. A Minitab program to produce confidence intervals is…

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

Lists a BASIC program which computes the equilibrium constant as a function of temperature. Suggests use by undergraduates taking a one-year calculus-based physical chemistry course. Notes the program provides for up to four species, typically two reactants and two products. (MVL)

Describes two computer programs used to aid in data analysis: (1) Develops a method for the propagation of error involving the direct calculation of the error in the dependent variable using a spreadsheet; (2) Examines a simple numerical method for solving complex equilibria. Lists a FORTRAN 77 program. (MVL)

Some mathematics educators feel that too little geometry is taught in elementary schools. This may have serious effects as many students arrive in the traditional high school geometry course without essential backgrounds in informal geometry. The result of this lack of preparation is often lower scores on standardized tests. In this situation,…

Discusses four applications of the microcomputer to the classroom: (1) a program listing of how to draw circles on the Apple II computers; (2) using a database to help write stories; (3) switching computers with others while writing stories to encourage creativity; and (4) a listing of a LOGO kaleidoscope program. (MVL)

Examines the use of the computer to approximate the value of the definite integral normally calculated by mathematical means. Presents four examples using BASIC programs to approximate single and double integrals by numerical integration and the Monte Carlo method. Programs are provided. (MDH)

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

Background information, data input, data analysis, and advantages of using this method with this software are discussed. A flowchart of the event-trapping program structure and a printout of the program are included. (CW)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Described is a short program for teaching and learning about geometric transformations. The integration of geometry problem solving and BASIC programing is discussed. Applications of computer graphics are illustrated. (CW)