Matemáticas para el Curso de Nivelación de la EPN: los número naturales, inducción matemática, el concepto general de funciones y funciones reales.

Abstract

This component mainly proposes the contents of Natural Numbers, Mathematical Induction, the general concept of Function and Real Functions that should be included in a Leveling course for the Engineering and Science careers of the EPN, through the learning outcomes that students should achieve. In turn, to give greater precision to the formulation of the learning outcomes, three examples of questions, exercises or problems are proposed for each of the outcomes that could be used to assess whether a student has achieved them or not.

Finally, in order to show that the proposed contents are not insufficient to approach the study of Linear Algebra and Calculus in one variable in the first semester, a description of the contents of the chapters “Integral Calculus in one variable” and “Vector Spaces with scalar product” (described in the PEAs of these subjects), and the concepts of Fundamentals of Mathematics and Geometry that are prerequisites of the referred chapters are presented