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...

Full description

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:10785/9875
Acceso en línea:
https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/687
http://hdl.handle.net/10785/9875
Palabra clave:
Rights
openAccess
License
Derechos de autor 2019 Entre Ciencia e Ingeniería
Description
Summary: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