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The Missing Needles: A Smooth Extension of Buffon's Needle Problem.

Peer reviewed

McGivney, Raymond J., Jr.; Pollino, Benedict – AMATYC Review, 1989

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Descriptors: College Mathematics, Computation, Computer Simulation, Estimation (Mathematics)

Applications of Monte Carlo Methods in Calculus.

Peer reviewed

Gordon, 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