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.
3. solve some applications of definite integrals in areas and volumes.
Course Contents
Functions of a real variable, graphs, limits and idea of continuity. The derivative, as limit of rate of change. Techniques of differentiation, maxima and minima. Extreme curve sketching, integration, definite integrals, reduction formulae, application to areas, volumes (including approximate integration: Trapezium and Simpson’s rule).
Functions of a real variable, graphs, limits and idea of continuity. The derivative, as limit of rate of change. Techniques of differentiation, maxima and minima. Extreme curve sketching, integration, definite integrals, reduction formulae, application to areas, volumes (including approximate integration: Trapezium and Simpson’s rule).
