Calculus and Analytical Geometry I

Course Code: MATH-166

Department: Mathematics

Credit Hours: 5.00

Illinois Articulation Initiative Number: IAI MTH 901, IAI M1 900-1

Textbook Information: Bookstore website

This first course in Calculus introduces derivatives and their applications, and basic integration. It is recommended that the full Calculus sequence is completed at the same institution since content and credits vary and there is no way to assure that content is not lost in transfer. Topics include (but are not limited to) the following: limits and continuity; definition of derivative; rate of change, slope; derivatives of polynomial and rational functions; the chain rule; implicit differentiation; differentials; higher order derivatives; Rolle's Theorem; Mean Value Theorem; applications of the derivative; anti-derivatives; the definite integral; the Fundamental Theorem of Calculus; techniques of integration, including substitution; indeterminant forms and L'Hôpital's Rule; the calculus of the trigonometric, logarithmic, and exponential functions. Prerequisite: Math placement at MATH 166; or the completion of MATH 135 or MATH 160 with a grade of C or better. Refer to placement chart in college catalog for detailed information.