IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/63898.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/63898/1/MPRA_paper_63898.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Halkos, George & Tsilika, Kyriaki, 2012. "Constructing a Generator of Matrices with Pattern," MPRA Paper 43614, University Library of Munich, Germany.
    2. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.
    3. Wei-Bin Zhang, 2015. "Oscillations in a Growth Model with Endogenous Wealth, Resource, Housing, and Elastic Labour Supply," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(9), pages 458-472, September.
    4. repec:beo:journl:v:62:y:2018:i:216:p:7-34 is not listed on IDEAS
    5. Wei-Bin Zhang, 2018. "Business Cycles, Growth, And Imported Energy In A Small-Open Growth Model," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 3(2), pages 7-21, September.
    6. George E. Halkos & Kyriaki D. Tsilika, 2016. "Trading Structures for Regional Economies in CAS Software," Computational Economics, Springer;Society for Computational Economics, vol. 48(3), pages 523-533, October.
    7. Halkos, George & Tsilika, Kyriaki, 2021. "Computational aspects of sustainability: Conceptual review and analytical framework," MPRA Paper 109632, University Library of Munich, Germany.
    8. Waldo Mendoza Bellido, 2015. "IS-LM Stability Revisited: Samuelson was Right, Modigliani was Wrong," Revista Economía, Fondo Editorial - Pontificia Universidad Católica del Perú, vol. 38(75), pages 123-150.
    9. Joshi, Divya D. & Bhalekar, Sachin & Gade, Prashant M., 2023. "Controlling fractional difference equations using feedback," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    10. Zhong, Weiqiong & An, Haizhong & Shen, Lei & Dai, Tao & Fang, Wei & Gao, Xiangyun & Dong, Di, 2017. "Global pattern of the international fossil fuel trade: The evolution of communities," Energy, Elsevier, vol. 123(C), pages 260-270.
    11. Halkos, George & Bampatsou, Christina, 2016. "Driving forces of different productivity models," MPRA Paper 75398, University Library of Munich, Germany.
    12. Halkos, George & Tsilika, Kyriaki, 2016. "Climate change impacts: Understanding the synergetic interactions using graph computing," MPRA Paper 75037, University Library of Munich, Germany.
    13. Christos Alexakis & Michael Dowling & Konstantinos Eleftheriou & Michael Polemis, 2021. "Textual Machine Learning: An Application to Computational Economics Research," Computational Economics, Springer;Society for Computational Economics, vol. 57(1), pages 369-385, January.
    14. Halkos, George & Bampatsou, Christina, 2016. "Investigating the effect of efficiency and technical changes on productivity," MPRA Paper 76287, University Library of Munich, Germany.
    15. Wei Bin ZHANG, 2016. "Oscillations In The Walrasian General Equilibrium Theory With Endogenous Wealth And Human Capital Accumulation," EcoForum, "Stefan cel Mare" University of Suceava, Romania, Faculty of Economics and Public Administration - Economy, Business Administration and Tourism Department., vol. 5(1), pages 1-41, January.
    16. Wei-Bin Zhang, 2020. "Global Development, Trade, Human Capital, And Business Cycles," Oradea Journal of Business and Economics, University of Oradea, Faculty of Economics, vol. 5(special), pages 9-29, June.
    17. Wei-bin Zhang, 2020. "Education, Income, Wealth Inequality and Business Cycles in a General Equilibrium Growth Model," Economic Alternatives, University of National and World Economy, Sofia, Bulgaria, issue 4, pages 607-618, December.
    18. George E. Halkos & Kyriaki D. Tsilika, 2018. "A New Vision of Classical Multi-regional Input–Output Models," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 571-594, March.
    19. Wei-Bin Zhang, 2018. "Business Cycles In A General Equilibrium Dynamic Model With Land Value And Rent," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 63(216), pages 7-34, January –.
    20. 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.
    21. Prof. Wei-Bin Zhang, 2015. "Economic Oscillations in a Multi-Country Growth Model with Free Trade and Tourism," Eurasian Business & Economics Journal, Eurasian Academy Of Sciences, vol. 2(2), pages 1-19, July.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:63898. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.