Selected mathematical concepts and their animation with CAS maple
by Pavel Prazak
International Journal of Continuing Engineering Education and Life-Long Learning (IJCEELL), Vol. 18, No. 5/6, 2008

Abstract: There is no doubt that Information Technology is a powerful tool for visualisation of hidden mathematical concepts. This article focuses on animation and presents how to use animation produced with the help of CAS for demonstration of two selected mathematical concepts. First the concept of constrained maximum and minimum of function of two variables with subject to one implicit given constrain is shown. The rule of Lagrange multipliers is demonstrated in this case, too. In this particular – the easiest – case there exist two vectors that have the same direction and Maple allow us to show it. Secondly, the concept of Poincare-Andronov-Hopf bifurcation is shown. A marketing application of this bifurcation is presented here as well.

Online publication date: Mon, 22-Dec-2008

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