Studying the real number system, real functions, limits and continuity, derivatives of real functions and their uses, transcendent functions and their derivatives, limits of irregular forms, Taylor and Maclaurin series, applying these concepts to the problem of determining asymptotes function graphs, optimization problems and determining the approach to a function at a point through hybrid learning that activates students (independent study, discussion and question and answer), both offline and online using the Sindig LMS.