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# Calculus I (MATH 181)

In this course, students will develop skills in the initial content of both differential and integral calculus. Students will be able to fi nd limits of functions, be exposed to the epsilondelta process, and learn about continuous and discontinuous functions. They will be able to fi nd derivatives and integrals of polynomial, rational, radical, trigonometric, exponential and logarithmic functions. This includes the chain rule, the rules dealing with operations, and u-substitution for both defi nite and indefi nite integrals. Applications dealing with maximum, minimum, velocity, and acceleration will be presented. Graphing (asymptotes, increasing, decreasing, concavity, maximum, minimum) will also be discussed. Theorems used in the class will include the mean-value theorem for derivatives and integrals, the squeeze theorem and the fundamental theorem of calculus. Implicit differentiation, differentials and summations of area will be used when appropriate. A graphing calculator is recommended. The use of a computer algebra system will be an integral part of the course. Credit will only be granted for one of the following: MATH 140, MATH 181 or MATH 145. Prerequisite: MATH-135 or MATH- 133 or equivalent. (4 hours weekly)

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