MATH 220 Calculus I In the first course of the Calculus sequence, students will briefly review essential precalculus topics and then study the fundamental concepts of Calculus-the limit, derivative, and integral. Topics include techniques for calculating limits; continuity; the definition of the derivative; derivatives of polynomial and rational functions; the chain rule; implicit differentiation; Rolle's and the mean value theorems; applications of the derivative; antiderivatives; the calculus of trigonometric, logarithmic, and exponential functions; the definite integral; and the fundamental theorem of calculus.