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:
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.
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.