This course is the first course in a sequence of two, covering the fundamental concepts of single variable calculus and their applications. Topics include functions; limits; continuity; derivatives; differentiation of algebraic functions; rules of differentiation, exponential, log, trigonometric, and inverse trigonometric functions; applications to maxima, minima, and convexity of functions; the definite integral; the fundamental theorem of integral calculus; applications of integration and simple substitution. The goal is to develop student’s geometric insight into the concepts of differentiation and integration, and to apply these concepts to problem-solving and real-world application.