Propuesta de abordaje transversal del concepto diferencial de curvatura en situaciones f\'isicas

Abstract

During the process of teaching the concept of derivative, it is common and natural to refer to geometric interpretations, such as the use of the tangent line and the maximum and minimum points of a function, to illustrate the scope of the derivative. In this work, an inclusive and applied way of the concept of curvature differential is presented, specifically with the intervention of problems of Newton's mechanics, whose purpose is double, on the one hand, to provide the derivative with a highly versatile sense to model systems, and on the other hand; to approach diverse classic topics of the initial physics courses from a didactic proposal centered on the concept of curvature.