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Peer reviewedMathews, John H. – AMATYC Review, 1989
Describes Newton's method to locate roots of an equation using the Newton-Raphson iteration formula. Develops an adaptive method overcoming limitations of the iteration method. Provides the algorithm and computer program of the adaptive Newton-Raphson method. (YP)
Descriptors: Algorithms, College Mathematics, Computation, Equations (Mathematics)
Peer reviewedGordon, Sheldon P.; Gordon, Florence S. – AMATYC Review, 1990
Discusses the application of probabilistic ideas, especially Monte Carlo simulation, to calculus. Describes some applications using the Monte Carlo method: Riemann sums; maximizing and minimizing a function; mean value theorems; and testing conjectures. (YP)
Descriptors: Calculus, College Mathematics, Functions (Mathematics), Higher Education
Peer reviewedDanesh, Iraj – Journal of Computers in Mathematics and Science Teaching, 1989
Describes the deterministic simulation (a given input always leads to the same output) and probabilistic simulation (new states are subject to predefined laws of chance). Provides examples of the application of the two simulations with mathematical expressions and PASCAL program. Lists seven references. (YP)
Descriptors: College Science, Computer Oriented Programs, Computer Simulation, Computers
