The present work shows the results of the research conducted in the exploratory study on student retention which aims to analyze some factors of academics involved in student retention, specifically students of the Faculty of Engineering of the Pontificia Universidad Javeriana (PUJ) who completed the course on Differential Calculus in the period between 2011-03 to 2012-03 semesters. It was selected for the case study, the subject of differential calculus because it is a core subject in Engineering and fundamental training because it is the first contact with students beginning their Engineering studies in the area of mathematics. According to information cited in the acts of the Operating Committee of Department, Career, Institute and School of Engineering-CODIC-the subject of differential calculus is the one with a higher rate of repetition in the Faculty of Engineering. In addition, surveys showed that in the first semester this course affects student motivation, positively or negatively the decision to continue in the Faculty of Engineering. For the 2011-01 academic year to 366 students enrolled in the subject of Differential Calculus 167 students failed the course, equivalent to 45.62% of the population. The subject of differential calculus to the first half of 2011, had an intensity of four hours per week. Following the problems of repetition and its impact on the dropout of students in the Faculty of Engineering, the Race Directors of the Faculty of Engineering and the Director of the Department of Mathematics at the PUJ, decided to implement a new teaching strategy, from the second half of 2011, seeking to solve the problem. Since this proposal was initiated exploratory study. The strategy was to increase the intensity time four to six hours a week, spending two extra hours to develop support workshops, guided by the teacher, in order to help the students in the training process.