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Teaching Mathematics Using Mathematica

Paul Abbott
Organization: University of Western Australia
Department: Physics
Journal / Anthology

Proceedings of the 2nd Asian Technology Conference in Mathematics
Year: 1997
Page range: 24-40

The Mathematica computer algebra system (CAS) is an attractive medium for teaching mathematics. New features in Mathematica 3.0 include editable typeset mathematical expressions; customizable palette interface; automatic arbitrary-precision control of numbers; numerical partial differential equations; and integrated hyperlinked documentation. Mathematica is introduced through examples: antisymmetric operators; Gram-Schmidt orthogonalization (vectors and orthogonal polynomials); contour integration (residue theorem) and line integrals; the Kepler equation (series methods); and spheroidal harmonies (eigenfunctions of partial differential equations). These examples highlight the power and versatility of Mathematica and indicate its application to teaching mathematics.

*Mathematica Technology