This book introduce and propose basic mathematical concepts necessary for any student who wishes to understand and achieve a solid grasp of the discipline, through chapters focused on specific ideas and divided into sections in which they are reinforced and integrated with useful examples. In addition, at the end of the book, you will find self-assessments and evaluations that integrate all the previous contents, which follow a precise direction: to solve specific problems. The main topics are divided in the following points: Equations and inequalities; Functions; Trigonometry. Also, some sections include exercises and examples that allow us to know some of the many tools provided by GeoGebra, a free interactive mathematical software that works on multiple operating systems. Manual de Matematica preuniversitaria (Pre-University Mathematics Manual) has had meaningful suggestions and observations made by teachers and experts of the field.