Abstract:

This work shows a proposal to teach complex variable concepts and integral transforms and their applications. The main objectives are to foster the competences related with the modeling with advanced mathematics and to develop several computational tools. Eight topics were selected: graphing of functions, derivative and integral of complex variables, line integral, Laurent series, calculus of residues, Z, Laplace and Fourier Transforms. The strategy considers four stages. First, the students doing simple exercises and basic computer experiments. After, the teacher shows a graphical unit interface (GUI) and the students use it solving the previous examples. After that, the students improve the GUI and they use it in order to solve complex problems. Finally, in the fourth stage an exam online generated randomly is applied. This exam contains from eight to sixteen questions depending of the advance of students.

As a result, engineering students who use graphical interfaces in advanced mathematics have improved their understanding of several concepts. In addition, they obtain greater confidence in their knowledge and can solve many complex problems. Some others learning results of 62 engineering students of Tecnológico de Monterrey are showed.

Keywords:

Complex Variables, Mathematica, Transforms Integral, Unit Graphics interface.