This first chapter is dedicated to basic concepts: the different kinds of numbers with the properties of real numbers and the real variable functions.
Here we study the concepts of limits with calculation techniques and continuity, including the most important theorems.
This part studies the fundamental tool of Differential Calculus: the derivative. Important theorems are proven together with many applications.
We focus now on the graphic representation of a function and some other applications of the derivatives, arriving at the local approximation using a Taylor polynomial.