Learning Outcomes
At the end of the course, students should be able to:
1. identify the types of rules in differentiation and integration;
2. describe the meaning of function of a real variable, graphs, limits and continuity; and
3. solve some applications of definite integrals in areas and volumes.
Course Contents
Function of a real variable, graphs, limits and idea of continuity. The derivative as limit of rate of
change. Techniques of differentiation. Extreme curve sketching. Integration as an inverse of
differentiation. Methods of integration. Definite integrals. Application to areas, volumes.