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de Alwis, Tilak – Primus, 1992
Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)
Descriptors: Calculus, College Mathematics, Estimation (Mathematics), Higher Education
Peer reviewed Peer reviewed
Hoffman, Dale T. – Physics Teacher, 1991
Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)
Descriptors: High Schools, Mathematical Formulas, Mathematical Models, Misconceptions
Peer reviewed Peer reviewed
Muscat, Jean-Paul – Mathematics in School, 1992
Uses LOGO to enhance the applicability of curve stitching in the mathematics curriculum. Presents the formulas and computer programs for the construction of parabolas, concentric circles, and epicycloids. Diagrams of constructed figures are provided. (MDH)
Descriptors: Computer Assisted Instruction, Enrichment Activities, Geometric Concepts, Geometric Constructions
Peer reviewed Peer reviewed
Mathews, John H. – Journal of Computers in Mathematics and Science Teaching, 1989
Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)
Descriptors: Calculus, Computer Graphics, Computer Software, Computer Uses in Education
Peer reviewed Peer reviewed
Nemirovsky, Ricardo; Tinker, Robert – Journal of Computers in Mathematics and Science Teaching, 1993
Describes software, hardware, and devices that were designed to provide students with an environment to experiment with basic ideas of mechanics, including nonlinear dynamics. Examines the behavior of a Lorenzian water wheel by comparing experimental data with theoretical results obtained from computer-based sensors. (MDH)
Descriptors: Chaos Theory, Computer Assisted Instruction, Computer Simulation, Computer Software
Peer reviewed Peer reviewed
Schaefer, Paul – Journal of Computers in Mathematics and Science Teaching, 1989
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…
Descriptors: Algebra, College Mathematics, Computer Oriented Programs, Computer Software
Peer reviewed Peer reviewed
De Jong, Marvin L. – Physics Teacher, 1992
Studies the simple dynamical system of the pendulum and the chaotic behavior that occurs when the pendulum is both damped and driven. Provides an algorithm and BASIC program for the numerical solution to the differential equations encountered in the discussion. (MDH)
Descriptors: Algorithms, Chaos Theory, Computer Assisted Instruction, Differential Equations
Peer reviewed Peer reviewed
Barton, Ray – Mathematics Teacher, 1990
Presented is an educational game called "The Chaos Game" which produces complicated fractal images. Two basic computer programs are included. The production of fractal images by the Sierpinski gasket and the Chaos Game programs is discussed. (CW)
Descriptors: Chaos Theory, Computer Graphics, Computer Uses in Education, Educational Games