Teaching, modeling and visualisation of ordinary differential equations

• Autorzy: Mrozek Z.

Warianty tytułu

PL

Nauczanie, modelowanie i wizualizacja równań różniczkowych zwyczajnych

• Języki publikacji: EN

Abstrakty

EN

Advances in computer technology and increased interest in dynamical systems influence the way of teaching ordinary differential equations. The paper presents inquiry oriented teaching, usage of modeling, visualisation and interactive web services. Last chapter describes the ways of using MATLAB or public domain software (e.g. Octave) to solve ordinary differential equations.

PL

Postęp w technologii komputerowej oraz wzrost zainteresowania modelowaniem systemów dynamicznych wpływa na sposób nauczania matematyki, w tym równań różniczkowych zwyczajnych. Przedstawiono podejścia: nauczania przez zadawanie pytań, wykorzystanie modelowania, wizualizacji i interaktywnych usług sieci web. Ostatni rozdział opisuje sposoby wykorzystania środowiska MATLAB lub oprogramowania dostępnego jako public domain (np. Octave) do rozwiązywania równań różniczkowych zwyczajnych.

Słowa kluczowe

EN

dynamical system; ordinary differential equation

PL

równanie różniczkowe zwyczajne; system dynamiczny

• Wydawca: Wydawnictwo Politechniki Krakowskiej im. Tadeusza Kościuszki
• Czasopismo: Czasopismo Techniczne. Nauki Podstawowe
• Rocznik: 2014
• Tom: R. 111, z. 2-NP
• Strony: 99--111
• Opis fizyczny: Bibliogr. 20 poz., wz., wykr., il.

Twórcy

autor

Mrozek Z.

• Faculty of Electrical and Computer Engineering, Cracow University of Technology

Bibliografia

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• [3] Interactive Differential Equations, Pearson Addison-Wesley, http://www.aw-bc.com/ide, 2013.
• [4] Kadijevich D., Haapasalo L., Hvorecky J., Using technology in applications and modelling, Teaching Mathematics and its Applications, 24(2-3), 2005, 114—122.
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• [6] Kwon, O., at all. Students’ Retention of Mathematical Knowledge and Skills in Differential Equations, School Science and Mathematics, 105(5), 2005, 1—13.
• [7] MATLAB, Simulink, http://www.mathworks.com/products/, 2013.
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• [9] Modelica and the Modelica Association, http://www.modelica.org, 2014.
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• [12] Octave, http://www.octave.org and http://octave.sourceforge.net/odepkg
• [13] Padir Taskin, et al., Teaching differential equations in a diverse classroom, 2008 Annual Conference and Exposition, AC 2008-1548, American Society for Engineering Education, 2008.
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• [20] Zadawanie dobrych pytań http://www.ceo.org.pl/pl/cyfrowaszkola/kurs/zadawanie-dobrych-pytan.