The application of linear Algebra in examples as a motivating tool for teaching mathematics at universities

Abstract

This paper deals with the question as to how to formulate solved examples of mathematical applications, and also, how these should be presented directly in Mathematics tuition, so that these examples could motivate students to a true interest in the study of this subject. Herein, some principles - and especially, demonstrations show how it is possible to formulate motivating examples from mathematical applications; and more specifically, from Linear Algebra. Linear Algebra is usually taught during the first term at most universities - as is the case for Tomas Bata University in Zlín. Linear Algebra is not one of the most difficult parts of Mathematics. For these reasons, it is useful - in the course of teaching Linear Algebra to demonstrate in an intelligible way, the wide scale and possibilities of its use in the solution of real problems. The authors are preparing a collection of solved Linear Algebra and Single and Multivariable Calculus examples; and in this paper, want to describe their experiences - which could be of use to other university teachers, or students. © The Turkish Online Journal of Educational Technology.