By their efforts in this course, student should improve in the following university Essential Learning Outcomes: Quantitative Literacy, Problem Solving, and Communication. Furthermore, this course satisfies the Quantitative Literacy requirement for General Education. Additionally, students should improve in the following course-specific content areas:
informal and formal definition of a limit, calculating limits, continuity, vertical and horizontal asymptotes as limits, derivative as a limit, tangent lines, derivative rules for basic functions (power function, polynomial, exponential, logarithm, trig, inverse trig, hyperbolic), derivative rules for combinations of functions (sum, difference, product, quotient, chain), implicit differentiation, logarithmic differentiation, related rates, linear approximation, Mean Value Theorem, using derivatives to understand the graph of a function (increasing, decreasing, concavity, max, min, inflection points), L'Hopital's rule, optimization, antiderivatives, area under a curve, definite integral as the limit of a sum, Fundamental Theorem of Calculus, indefinite integrals, integration by u-substitution.