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Nievergelt, Yves – American Mathematical Monthly, 1991
Described are ways that errors of magnitude can be unwittingly caused when using various supercalculator algorithms to solve linear systems of equations that are represented by nearly singular matrices. Precautionary measures for the unwary student are included. (JJK)
Descriptors: Algorithms, Calculators, College Mathematics, Higher Education
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Murty, Vedula N.; Swetz, Frank J. – Mathematics Teacher, 1982
An approach to how to expand explorations of determinants is detailed that allows evaluation of the fourth order. The method is built from a close examination of the product terms found in the expansions of second- and third-order determinants. Students are provided with an experience in basic mathematical investigation. (MP)
Descriptors: Algorithms, Discovery Learning, Mathematical Concepts, Mathematical Enrichment
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Newton, Tyre A. – American Mathematical Monthly, 1990
Presented is a method where a quadratic equation is solved and from its roots the eigenvalues and corresponding eigenvectors are determined immediately. Included are the proposition, the procedure, and comments. (KR)
Descriptors: Algebra, Algorithms, College Mathematics, Equations (Mathematics)
Kenney, Margaret J., Ed.; Hirsch, Christian R., Ed. – 1991
This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…
Descriptors: Algorithms, Computer Uses in Education, Elementary Secondary Education, Graphs
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Kalman, Dan – Mathematics Magazine, 1990
Presented is a scheduling algorithm that uses all the busses at each step for any rectangular array. Included are two lemmas, proofs, a theorem, the solution, and variations on this problem. (KR)
Descriptors: Algebra, Algorithms, College Mathematics, Computer Science