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 and learn about continuous and discontinuous functions. They will be able to fi nd derivatives and integral of polynomial, rational, radical, exponential, logarithmic and some special functions. They will use the chain rule and the rules dealing with operations in fi nding derivatives and u-substitution in fi nding defi nite and indefi nite integrals. Applications dealing with optimization, related rate, revenue, cost, profi t, supply and demand and areas will be presented. Graphing functions will be an integral part of the course and will contain a discussion of asymptotes, increasing, decreasing, concavity, maximum and minimum. Theorems will be used in the class to justify and explain the concepts. Some of the theorems may include the meanvalue theorem for derivatives and integrals, and the fundamental theorems of calculus. Implicit differentiation and differentials will be used when appropriate. Students will use the computer algebra system, DERIVE, and/or spreadhseets to complete projects. Credit will only be granted for one of the following: MATH 140, MATH 181 or MATH 145. Prerequisite: MATH-131 or equivalent. (3 hours weekly)
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