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Perspectives on integrating a computer algebra system into advanced calculus curricula

Author

Listed:
  • Halkos, George
  • Tsilika, Kyriaki

Abstract

We introduce a topic in the intersection of symbolic mathematics and computation, concerning topics in multivariable Optimization and Dynamic Analysis. Our computational approach gives emphasis to mathematical methodology and aims at both symbolic and numerical results as implemented by a powerful digital mathematical tool, CAS software Xcas. This work could be used as guidance to develop course contents in advanced calculus curricula, to conduct individual or collaborative projects for programming related objectives, as Xcas is freely available to users and institutions. Furthermore, it could assist educators to reproduce calculus methodologies by generating automatically, in one entry, abstract calculus formulations.

Suggested Citation

  • Halkos, George & Tsilika, Kyriaki, 2014. "Perspectives on integrating a computer algebra system into advanced calculus curricula," MPRA Paper 63898, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:63898
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    References listed on IDEAS

    as
    1. George Halkos & Kyriaki Tsilika, 2015. "Programming Identification Criteria in Simultaneous Equation Models," Computational Economics, Springer;Society for Computational Economics, vol. 46(1), pages 157-170, June.
    2. Halkos, George & Tsilika, Kyriaki, 2014. "Analyzing and visualizing the synergistic impact mechanisms of climate change related costs," MPRA Paper 55459, University Library of Munich, Germany.
    3. George Halkos & Kyriaki Tsilika, 2015. "A Dynamic Interface for Trade Pattern Formation in Multi-regional Multi-sectoral Input-output Modeling," Computational Economics, Springer;Society for Computational Economics, vol. 46(4), pages 671-681, December.
    4. Wei-Bin Zhang, 2005. "Differential Equations, Bifurcations, and Chaos in Economics," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 5827, February.
    5. Halkos, George & Tsilika, Kyriaki, 2012. "Stability analysis in economic dynamics: A computational approach," MPRA Paper 41371, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Symbolic computations; computer-based education; Xcas computer software.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software

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