Automatic Power Restoration In Distribution Systems Modeled Through Multiagent SysteSignals And Linear Systems: A Novel Approach Based On Infinitesimal Calculus (Part I)


  • José Leonardos Simancas-García Universidad de la Costa
  • Kemel George-Gonzalez Fundaci´on Innovaci´on y Conocimiento (


e-learning, signals and systems, Educational technology


In part I of this paper, the development of a
course on linear signals and systems is presented, based on an infinitesimal calculus model, called MicroCalculus. Such a calculus model allows a didactic development of the fundamental concepts of a signal course. The signals are defined from the
fundamental elements of variable and function. MicroCalculus offers a new vision to signal classification, as well as a treatment of non-standard functions as generalized functions, which in the new
calculus model can be treated as standard functions. Then, the development of the discrete and continuous convolution operation is presented, from a unified approach. In part II of this paper, the
development of all the transforms that are studied in the Signals and Systems courses is presented, starting from the Discrete Fourier Transform until reaching the Z Transform, passing through the Fourier Series, the Fourier Transform, the Laplace
transform, etc. The methodology used consists of constructing the Discrete Fourier Transform in a didactic way, to then deduce all the other entities by using the infinitesimal calculus.


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Author Biography

Kemel George-Gonzalez, Fundaci´on Innovaci´on y Conocimiento (

Recibi´o grado de Licenciado en Matem´atica Educativa de la Universidad Aut´onoma de Guerrero, en M´exico,
grado de Mag´ıster en Matem´aticas del Centro de Investigaci´on y de Estudios Avanzados del IPN, en M´exico, en 1966, y grado de Doctor en Matem´aticas del Centro de Investigaci´on y de Estudios Avanzados del IPN, en M´exico, en 1999.
El Dr. George ha sido profesor de la Universidad Distrital “Francisco Jos´e de Caldas”, en Bogot´a, Colombia, durante los a˜nos 1974 - 1978, 1986 - 1996. Profesor de la Universidad del Magdalena, Santa Marta, Colombia,
2001 - 2004. Profesor de Universidad Tecnol´ogica de Bol´ıvar, en Cartagena, Colombia, 2004 - 2006. Y profesor de la Universidad Aut´onoma del Caribe, Barranquilla, Colombia, 2013 - 2018. En la actualidad dirige la Fundaci´on Innovaci´on y Conocimiento, en Barranquilla, Colombia.


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