Calculus I

Catalog description

Topics include (but are not limited to) the following: limits and continuity; definition of derivative; rate of change, slope; derivatives of polynomial, rational, trigonometric, logarithmic and exponential functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle’s Theorem; Mean Value Theorem; applications of the derivative; anti-derivative; L’Hopital’s Rule; the definite integral; the fundamental theorem of calculus; area under the curve and Riemann Sums; area between two curves, volume, and other applications of the integral. Note, a graphing calculator is required for this course (instruction will be based on a TI-89)