Calculus and Analytic Geometry I

Catalog description

Five lecture. Limits, continuity, differential, and integral operations on algebraic and trigonometric functions and applications. Students will be able to: review pre-calculus topics including solving and graphing polynomial, rational, logarithmic, exponential, and trigonometric functions; interpret and solve growth and decay application problems; analyze and evaluate limits; analyze and interpret the concept of continuity of functions; analyze the concept of the derivative verbally, numerically, and analytically; calculate derivatives of polynomial, rational, logarithmic, exponential, and trigonometric functions; calculate derivatives of the products, ratios, and composition of functions; interpret and solve applied problems using the derivative; analyze, interpret, and apply the Mean Value Theorem; define and evaluate right and left hand Reiman sums; analyze the concept of the integral verbally, numerically, graphically, and analytically; calculate integrals of basic polynomial, rational, logarithmic, exponential, and trigonometric functions; calculate integrals of basic products, ratios, and composite functions using substitution. Prerequisite(s): MAT 187 or placement. General Education: Quantitative Reasoning