The objective of the course is to introduce students to the concepts of limits, continuity, differentiation and their applications. The Course Content: Limits and continuity of functions of a single variable. Differentiability. Techniques of differentiation. Implicit differentiation. Local extrema, first and second derivative tests for local extrema. Concavity and inflection points. Curve sketching. Applied extrema problems. The Mean Value Theorem and applications. The Course Prerequisite: One-year preparatory mathematics or its equivalent. The Course Learning Outcomes: Upon completion of this course, students should be able to: