Halkos, George and Tsilika, Kyriaki (2014): Perspectives on integrating a computer algebra system into advanced calculus curricula.

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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.
Item Type:  MPRA Paper 

Original Title:  Perspectives on integrating a computer algebra system into advanced calculus curricula 
Language:  English 
Keywords:  Symbolic computations; computerbased education; Xcas computer software. 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63  Computational Techniques ; Simulation Modeling C  Mathematical and Quantitative Methods > C8  Data Collection and Data Estimation Methodology ; Computer Programs > C88  Other Computer Software 
Item ID:  63898 
Depositing User:  G.E. Halkos 
Date Deposited:  25. Apr 2015 17:48 
Last Modified:  31. May 2015 19:20 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/63898 