Using a Computer Algebra System to Solve for Maxima and Minima
| Autor: | Robert J. Lopez, John H. Mathews |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Mathematical optimization
Optimization problem business.industry General Mathematics Computation Parabola Symbolic computation Education Maxima and minima Software ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Computer Science::Mathematical Software Calculus Computer Science::Symbolic Computation Point (geometry) business Mathematics |
| Zdroj: | The College Mathematics Journal. 21:410-414 |
| ISSN: | 1931-1346 0746-8342 |
| DOI: | 10.1080/07468342.1990.11973346 |
| Popis: | The availability of computer algebra systems (CAS's) such as Derive, MACSYMA, Maple, Mathematica, and SMP are influencing the way we teach calculus. New approaches to old problems are being initiated at colleges and universities world? wide. In this note we use the CAS software Mathematica to solve some typical optimization problems from freshman calculus. Our purpose is to demonstrate how the availability of CAS alters our approach and treatment of computations. As a first example, consider minimizing the distance from the point (6,3) to the parabola y = x2. This requires minimizing the objective function fix) = |
| Databáze: | OpenAIRE |
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