Learning Outcomes At the end of the course students should be able to:
carry out differentiation and Integration according to the rules thereof;
understand the meaning of the function of a real variable, graphs, limits and continuity; and
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 is the 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 and volumes.