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Central Difference Formula in Numerical Analysis.

Peer reviewed

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

Computer Techniques for Evaluating the Double Integral.

Peer reviewed

Walton, Karen D.; Walton, Zachary D. – Journal of Computers in Mathematics and Science Teaching, 1992

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)

Descriptors: Area, Calculus, Computer Uses in Education, Estimation (Mathematics)

A Monte Carlo Application to Approximate the Integral from a to b of e Raised to the x Squared.

Peer reviewed

Easterday, Kenneth; Smith, Tommy – School Science and Mathematics, 1992

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Descriptors: Calculus, Computer Assisted Instruction, Computer Uses in Education, Enrichment Activities