A calculus course which includes differential and integral calculus as applied to business, economics, sociology, and natural science. Topics include limits, derivatives, applications of the derivative, integration, and partial derivatives.

4

M1 900-B

Appropriate placement score; or MATH 112 āCā or better.

Textbook information is available at http://bookstore-qc.bhc.edu You will need to know the BHC course number, e.g., MATH 132, and the section number.

Upon successful completion of this course, the student shall be able to demonstrate the following skills: A. Determine a limit by the following methods: graphically, numerically, and algebraically. B. Compute the derivative of a function as the limit of the difference quotient or the limit of the average rate of change. C. State the derivative of the basic functions: constant, power, exponential, and natural logarithm. D. Apply the rules of differentiation for constant multiples, sums, differences, products, quotients, and composites. E. Use the derivative to obtain marginals, velocity, and other instantaneous rates of change. F. Analyze a function for its increasing/decreasing properties, extrema, concavity, points of inflection, and asymptotic behavior. G. Obtain an antiderivative for the basic functions: constant, power, exponential, and reciprocal of the first degree; and apply antidifferentiation rules to obtain other elementary antiderivatives. H. Interpret the definite integral as a change in an antiderivative. I. Calculate area and probabilities using the Fundamental Theorem of Calculus. J. Compute partial derivatives, and use them to determine maximum and minimum values of functions of two variables.

Black Hawk College: 6600 34th Ave Moline, IL 61265 Phone: 3097965000