Calculus I

After completion of the courses, students will understand the formal definition of limit and continuity, evaluate limits of functions, determine points of discontinuity of functions, apply Intermediate Value Theorem, evaluate derivatives of different types of functions, apply derivatives to solve problems, evaluate integrals of different types of functions, apply integrals to find areas and volumes. In general, the course introduces the basic concepts of limit, continuity, differentiation, integration, and some of their applications.