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Samples of Animations from Teaching Engineering Mathematics with Maple V R5

Harald Pleym
harald.pleym@hit.no
Telemark College
Department of Technology

Kjolnes Ring 56, 3914 Porsgrunn

Norway

Abstract

The purpose of this paper is to show how the powerful computer algebra system Maple V Release 5 can be used to explore and visualize with animation a selection of engineering mathematical topics in calculus, differential equations and linear algebra. Animated examples which will be discussed and shown are:

· Taylor polynomial in two variables, simple pendulum with numerical solution, a system of two and three spring-coupled masses, reflection and transmission of a transverse pulse at the boundary of two ropes of different linear density, the convolution product of a rectangular window with an exponential function and trajectory of the dynamical system described by the difference equation X(k+1) = A X(k)