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University of Maine at Fort Kent
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MAT 255 Calculus I
Prerequisites: Algebra Proficiency. This is an introduction to Calculus as applied in the Social or Life Sciences. Topics include: limits derivatives techniques of finding derivatives of polynomials exponential and log functions derivatives of sums differences products quotients and composites of functions continuity differentiability maxima minima extreme value theorem higher derivatives and their applications indeterminate forms and Hopital's rule antiderivatives and indefinite integrals integrating polynomials exponential and inverse functions integration by substitution definite integrals the Fundamental Theorem of Calculus area between curves tables of integrals separable differential equations functions of two variables partial derivatives second order partial derivatives extrema of functions of two variables and integration over two variables.

MAT 255 Calculus I

Prerequisites: Algebra Proficiency. This is an introduction to Calculus as applied in the Social or Life Sciences. Topics include: limits derivatives techniques of finding derivatives of polynomials exponential and log functions derivatives of sums differences products quotients and composites of functions continuity differentiability maxima minima extreme value theorem higher derivatives and their applications indeterminate forms and Hopital's rule antiderivatives and indefinite integrals integrating polynomials exponential and inverse functions integration by substitution definite integrals the Fundamental Theorem of Calculus area between curves tables of integrals separable differential equations functions of two variables partial derivatives second order partial derivatives extrema of functions of two variables and integration over two variables.