After passing this exam, the student should be able to 1. Defines the notion of convergent sequence and successfully use various techniques for finding the limit values and prove the convergence of a sequence. 2. Find limit values of functions and determines intervals of their continuity. 3. Make a graph of basic and complex functions. 4. Determines derivatives of basic and complex functions. 5. Use derivatives and The Mean Value Theorem to solve some practical problems in physics, as well as the maximum and minimum problems.