MATE-1203 Calculo Diferencial

The modeling of instantaneous phenomena is very important in the study of Natural and Social sciences. The description of instantaneous phenomena is engulfed in the notion of limit, and it is through its celebrated offspring, the derivative and the integral of a function, that it finds its main applications. This course provides an introduction to the modeling of instantaneous phenomena, mainly those concerned with rates of change, i.e., the study of limits and of derivatives. As it ends up being unavoidable, and being so intimately related to the concept of differentiation, a short introduction on the subject of integration is also given in this course. This course is a first step towards making students aware of the power of the language of Mathematics when used as a tool for describing and analyzing natural and man-made processes.