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Enhancing Mathematical Teaching-Learning Process by Mathematica
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| Organization: | Department of Information Engineering and Applied Mathematics, Uniersity of Salerno |
| Organization: | Department of Information Engineering and Applied Mathematics, Uniersity of Salerno |
| Organization: | Universita degli Studi di Salerno |
| Department: | DIIMA - Dipartimento diIngegneria dell'Informazione e Matematica Applicata |
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2003 International Mathematica Symposium
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Imperial College, London
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In this paper we aim to show a Mathematica notebook based on a package built to demonstrate the working of Linear Time Independent Systems (LTI Systems).
This notebook lets the user play with a virtual LTI system, where he/she can choose things such as the input signal and the system transformation given as the system response to a pulse signal, and see in real time the shape of the output signal. The user can also see the response of the LTI system to canonical signals, or also the signal in the frequency domain, showing its frequency response in Bode or Polar diagrams. The pedagogical assumption we followed in the development of the package is that a student learns better and in a more stimulating way using the strategy of learning by doing. Manipulating data and observing the results of their manipulation a learner can reach a deeper knowledge of the subject. We well explain in more detail how the package works in the following sections.
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Linear Time Independent Systems, manipulating data, canonical signals, frequency domain, Bode diagrams, Polar diagrams
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