Symbolic proof of limits of functions in mathematica with applications to mathematics education

Andrés Iglesias, Robert Ipanaqué

Producción científica: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

Resumen

Although the limit of a function at a point is one of the most important concepts in Mathematics, to prove symbolically its formal definition is a challenging exercise that requires a certain level of expertise usually out of the capabilities of most students. This paper introduces a new Mathematica package to prove symbolically the values of limits of functions in terms of δ and ∈. In addition to the case of finite limits at finite points, the cases of infinite limits and limits at the infinity are also considered. The package also includes additional commands for graphical output allowing the users to grasp the underlying ideas of this concept. In order to show the performance of the main commands, a comprehensive set of illustrative examples is provided. Some possible applications regarding Mathematics education at the classroom are also briefly discussed.

Idioma originalInglés
Título de la publicación alojadaProceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008
Páginas297-305
Número de páginas9
DOI
EstadoPublicada - 2008
EventoInternational Conference on Computational Sciences and its Applications, ICCSA 2008 - Perugia, Italia
Duración: 30 jun. 20083 jul. 2008

Serie de la publicación

NombreProceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008

Conferencia

ConferenciaInternational Conference on Computational Sciences and its Applications, ICCSA 2008
País/TerritorioItalia
CiudadPerugia
Período30/06/083/07/08

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