Mathematical Engineering in the Teaching of Linear Algebra to Address Complex Geometric Objects

Abstract: Teaching Mathematics in the engineering programs at university implies learning conditions, which can allow students to acquire knowledge through the development of simple models to new ways of thinking and reasoning. This paper describes an experience carried out in the Algebra and Analytic Geometry course of Chemical Engineering program where Lineal Algebra is introduced by the use of specific software. The proposal aims at giving students a computational approximation to Lineal Algebra in the analysis of a cellular automaton and its relation to the fractal known as Sierpinski’s Triangle. The adopted approach is carried out through theoretical-practical lessons where teaching and learning situations prompt students to carry out analytic procedures to apply theoretical concepts presented in class, and enhance the applications of current approaches in mathematics and engineering.