In this course the student will complete the journey started 3 years ago and finish building a foundational mathematical knowledge that will allow him or her to approach and overcome any mathematical challenge he or she might encounter in the course of studying a scientific or technical degree.

The course is divided into five sections: Algebra, Geometry, Differential Calculus, Integral Calculus and Probability. The student will find that much of the matter was dealt with in the previous course, and is advised to focus on the new content and on refining his or her skills in order to excel in the test.

The approach of the course is:

Explaining the subject matter in a way that is coherent with the previous knowledge and also with the future, that is, avoiding the need for corrections or modifications of the concepts that arise from an initially incomplete explanation or definition.

Integrating all the new concepts and skills with the already acquired ones. This means that the evaluation of each concept will not be limited to understanding it but also to be able to use it and handle it when other concepts are involved. Example: in the resolution of systems of equations the students will need to solve systems of equations containing fractions and radicals, since these concepts have been studied previously.

Practicing through exercise to the extreme, giving the student a gradual and extensive range of exercises that allow him or her to master all the aspects of the learned skills at his or her own pace.