A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses
This article presents a methodology that allows the introduction of the LIE theory in relation to first order ordinary differential equations for undergraduate engineering courses. The theoretical background needed is identified. A methodology was determined and the results of its application in the...
- Autores:
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Universidad Católica de Pereira
- Repositorio:
- Repositorio Institucional - RIBUC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.ucp.edu.co:10785/13527
- Acceso en línea:
- https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687
http://hdl.handle.net/10785/13527
- Palabra clave:
- Rights
- openAccess
- License
- Derechos de autor 2019 Entre Ciencia e Ingeniería
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2023-08-29T03:49:15Z2023-08-29T03:49:15Z2019-07-27https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687http://hdl.handle.net/10785/13527This article presents a methodology that allows the introduction of the LIE theory in relation to first order ordinary differential equations for undergraduate engineering courses. The theoretical background needed is identified. A methodology was determined and the results of its application in the regular course of ODE’s are presented. It was found that the proposed methodology is adequate. The students exposed to this methodology interiorized the related concepts and were able to solve linear and not linear first order ODE’s analyticallyEn el presente artículo se propone una metodología que permite la incorporación de la teoría de los grupos de LIE, en relación con las Ecuaciones Diferenciales Ordinarias (EDO’s) de primer orden, a nivel de pregrado en cursos de ingeniería. Se plantea una discusión sobre los fundamentos teóricos del método de los grupos de LIE en la solución de ecuaciones diferenciales de primer orden y se identifican los presaberes necesarios para una adecuada enseñanza del método a este nivel. Así mismo, se determina una metodología y se presentan los resultados de la aplicación de la misma en cursos regulares de EDO’s, encontrándose que la metodología propuesta es adecuada para los estudiantes expuestos a la misma, ya que interiorizaron los presupuestos teóricos y el concepto unificador de la invariación bajo grupos de simetrías y logran resolver, en forma analítica, EDO’s de primer orden tanto lineales como no lineales.application/pdfspaUniversidad Católica de Pereirahttps://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687/689Derechos de autor 2019 Entre Ciencia e Ingenieríahttps://creativecommons.org/licenses/by-nc/4.0/deed.es_EShttps://creativecommons.org/licenses/by-nc/4.0/deed.es_ESinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Entre ciencia e ingeniería; Vol 6 No 11 (2012); 149-163Entre Ciencia e Ingeniería; Vol. 6 Núm. 11 (2012); 149-163Entre ciencia e ingeniería; v. 6 n. 11 (2012); 149-1632539-41691909-8367A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering CoursesUna Metodología para la Enseñanza de Ecuaciones Diferenciales Ordinarias Mediante la Teoría de los Grupos de LIE en Cursos de IngenieríaArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionOrtiz Álvarez, Hugo HernánJiménez García, Francy NellyPosso, Abel EnriquePublication10785/13527oai:repositorio.ucp.edu.co:10785/135272025-01-27 18:58:54.308https://creativecommons.org/licenses/by-nc/4.0/deed.es_ESDerechos de autor 2019 Entre Ciencia e Ingenieríametadata.onlyhttps://repositorio.ucp.edu.coRepositorio Institucional de la Universidad Católica de Pereira - RIBUCbdigital@metabiblioteca.com |
| dc.title.eng.fl_str_mv |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| dc.title.spa.fl_str_mv |
Una Metodología para la Enseñanza de Ecuaciones Diferenciales Ordinarias Mediante la Teoría de los Grupos de LIE en Cursos de Ingeniería |
| title |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| spellingShingle |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| title_short |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| title_full |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| title_fullStr |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| title_full_unstemmed |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| title_sort |
A Methodology for Teaching Ordinary Differential Equations Trough the LIE Group Theory in Engineering Courses |
| description |
This article presents a methodology that allows the introduction of the LIE theory in relation to first order ordinary differential equations for undergraduate engineering courses. The theoretical background needed is identified. A methodology was determined and the results of its application in the regular course of ODE’s are presented. It was found that the proposed methodology is adequate. The students exposed to this methodology interiorized the related concepts and were able to solve linear and not linear first order ODE’s analytically |
| publishDate |
2019 |
| dc.date.issued.none.fl_str_mv |
2019-07-27 |
| dc.date.accessioned.none.fl_str_mv |
2023-08-29T03:49:15Z |
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2023-08-29T03:49:15Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
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https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687 |
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http://hdl.handle.net/10785/13527 |
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https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687 http://hdl.handle.net/10785/13527 |
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spa |
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spa |
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https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687/689 |
| dc.rights.spa.fl_str_mv |
Derechos de autor 2019 Entre Ciencia e Ingeniería https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES |
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https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES |
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info:eu-repo/semantics/openAccess |
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http://purl.org/coar/access_right/c_abf2 |
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Derechos de autor 2019 Entre Ciencia e Ingeniería https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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application/pdf |
| dc.publisher.spa.fl_str_mv |
Universidad Católica de Pereira |
| dc.source.eng.fl_str_mv |
Entre ciencia e ingeniería; Vol 6 No 11 (2012); 149-163 |
| dc.source.spa.fl_str_mv |
Entre Ciencia e Ingeniería; Vol. 6 Núm. 11 (2012); 149-163 |
| dc.source.por.fl_str_mv |
Entre ciencia e ingeniería; v. 6 n. 11 (2012); 149-163 |
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2539-4169 1909-8367 |
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Universidad Católica de Pereira |
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Repositorio Institucional de la Universidad Católica de Pereira - RIBUC |
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bdigital@metabiblioteca.com |
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1828143397577162752 |