The Advantages of Using Computer Algebra System Maple in Learning Differential Equation

Eyrikh, Nadezhda; Баженов, Руслан Иванович; Gorbunova, Tatiana; Markova, Natalia V.; Zhunusakunova, Aijarkyn

doi:10.1109/inforino48376.2020.9111726

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…Es de gran acierto enriquecer el contenido temático de los cursos de ecuaciones diferenciales ordinarias incluyendo el uso de paquetes computacionales para resolver ecuaciones diferenciales ordinarias [23][24][25]. Todo el esfuerzo que debe realizar el instructor para elegir ejemplos, ejercicios y proyectos de clase adecuados a los conceptos que se desee enseñar, se verá recompensado con la comprensión de conceptos importantes por parte de los alumnos [26][27][28][29].…”

Section: Conclusiónunclassified

Resolviendo ecuaciones diferenciales ordinarias con Symbolic Math Toolbox™ (Matlab) y SymPy (Python)

Ortigoza

Herrera

2023

Rev. Mex. Fis. E

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This paper shows solutions of ordinary differential equations (EDOS) obtained by using two symbolic packages: Symbolic Math Toolbox™ (Matlab) and SymPy (Python). The basic instructions to obtain solutions of both packages are explained step by step, through a group of examples from a traditional ordinary differential equations course. Differential equations that are solved with methods such as: separable variables, linear equations, indeterminate coefficients, variation of parameters, power series, Laplace transform, and numerical solutions are included. By means of the symbolic computation carried out with these packages it is possible to obtain the solution of linear systems, as well as the visualization of the direction field of a differential equation or of a non-linear system of differential equations. The main contribution of this work consists in providing the reader with a practical guide that allows him to start the study of differential equations assisted by Symbolic Math Toolbox™ or SymPy. Among the benefits of using these computational tools in teaching and/or learning practices, it is shown how the use of symbolic or numerical computation saves us effort in the computation of tedious calculations; focusing attention on important ideas and concepts such as: the relationship between the mathematical model and its physical counterpart, asymptotic behavior and qualitative analysis of the solutions.

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Section: Conclusiónunclassified

Resolviendo ecuaciones diferenciales ordinarias con Symbolic Math Toolbox™ (Matlab) y SymPy (Python)

Ortigoza

Herrera

2023

Rev. Mex. Fis. E

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“…The Discrete Mathematics course includes various topics covering sets, relations, mathematical logic, Boolean algebra, number theory, counting, graphs and trees, probability, languages, grammar and finite automata, etc. (Eyrikh et al, 2020(Eyrikh et al, , 2018Rosen, 2012).…”

Section: Introductionmentioning

confidence: 99%

Maple Information Tools in the Study of Mathematical Logic Questions

Olenev¹

2023

European Proceedings of Computers and Technology

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Correspondence (truth) tables are the main model for the analysis of various logical expressions. Their applications go beyond the study of Boolean algebra. The Maple computer algebra system has a wide range of commands for working with propositions, obtaining and evaluating their truth, but the result of their execution is most often not represented in a perfectly normal form. The results obtained are undoubtedly useful, but do not contribute to the development of competencies in the field of modeling Boolean functions. In this case, using the programming methods of the Maple computer algebra system, as well as its ability to create interactive applications. The article presents the results of a study summarizing the experience of implementing computer algebra systems for modeling logical functions. To expand the possibilities, comply with the requirements of interactivity, the Maple computer algebra system was chosen as the main tool. The developed and presented interactive application allows you to automatically build Boolean functions based on their truth or falsity values and present the result in the form of perfect disjunctive or conjunctive normal forms. The authors presented the features of using the developed application. The main goal: to achieve an understanding of the process of building a model of Boolean functions, presented in a perfect disjunctive or conjunctive form, to help in the study of discrete mathematics, students of both technical and humanitarian specialties. In addition, evaluate your knowledge in this discipline.

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“…Investigação das habilidades relacionadas a equações diferenciais, com aumento de autonomia criativa, motivação e um grande diferencial nas habilidades de pesquisa (Eyrikh et al, 2020).…”

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Aspectos Conceituais Da Governança E Da Tecnologia Da Informação No Desenvolvimento De Aplicativo Multicritério Para Uso Em Comunidades Rurais

Costa¹,

Prat²,

Cambraia³

2021

Conteúdo Conceitual E Aspectos Práticos Da Ciência Da Computação 2

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The Advantages of Using Computer Algebra System Maple in Learning Differential Equation

Cited by 6 publications

References 14 publications

Resolviendo ecuaciones diferenciales ordinarias con Symbolic Math Toolbox™ (Matlab) y SymPy (Python)

Resolviendo ecuaciones diferenciales ordinarias con Symbolic Math Toolbox™ (Matlab) y SymPy (Python)

Maple Information Tools in the Study of Mathematical Logic Questions

Aspectos Conceituais Da Governança E Da Tecnologia Da Informação No Desenvolvimento De Aplicativo Multicritério Para Uso Em Comunidades Rurais

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