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Formación universitaria

On-line version ISSN 0718-5006

Abstract

CARDONA, Juan P.; LEAL, John J.  and  USTARIZ, José E.. Mathematical modeling of white and black box in engineering education. Form. Univ. [online]. 2020, vol.13, n.6, pp.105-118. ISSN 0718-5006.  http://dx.doi.org/10.4067/S0718-50062020000600105.

This research study presents activities on mathematical modeling processes that were developed in engineering courses to improve student understanding of physical phenomena using real systems. The modeling methodology performed in the classroom followed the proposal by Kai Velten for engineers. The analysis of tank drainage with cross-section variables were presented in two different courses: 1) a differential equations course where students established a differential equation modeling drainage by using a white box model (mechanistic) based on physical principles, and 2) a physical variables measuring course in which students used a second order polynomial adjustment by least squares or a black box model (empirical). Given the current need in engineering for solving real problems, it is concluded that mathematical modeling techniques must be included in undergraduate courses, such that students start getting accustomed to analyzing problems from this perspective.

Keywords : mathematical modeling; simulation; black and white box; engineering education.

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