Analytic Geometry and Calculus 1

Catalog description

Limit topics include continuity, trig functions, logarithms, infinite limits and limits at infinity. Derivative topics include the chain rule, implicit differentiation, related rates, approximations, higher order derivatives, extremum and other applications of the derivative. Integration topics include sums, antiderivatives, the Fundamental Theorem of Calculus, areas and the definite integral, and integration by substitution. Differential equations topics include growth and decay, and basic separation of variables. The course includes appropriate mathematical notation, trigonometric function and transcendental functions with optional coverage of hyperbolic functions. Prerequisite(s): MATH- 202 or MATH-230 with a grade of C or higher, or four years of high school math (including two years of algebra, one year of geometry and one semester of trigonometry) with a grade of B or higher, or a satisfactory score on MATC placement test.