Calculus I

Course Overview

Calculus I covers the foundations of differential calculus, including limits, derivatives and integrals. In the beginning of the course, we examine functions and their unique behaviors, and how they relate to concepts such as limits and continuity. The remainder of the course focuses on differentiation, different techniques of differentiation, and applications of derivatives. A wide range of topics are covered, including the limit definition of a derivative, the chain rule, the product and quotient rules, and implicit differentiation. Optimization is covered extensively, as are related rates problems and Newton’s method. The course concludes with antiderivatives and integration. Areas under curves, volumes of solids of revolution, and average values are studied in detail.