11/18/2023 0 Comments Calculus in business mathematicsDerivative formulas for powers and polynomialsĦ. Apply techniques of differentiation, graphically numerically and symbolicallyġ. Instantaneous rate of change and tangent linesĬ. Approximation of limits numerically and visually from graphs of functionsĢ. Demonstrate understanding of elementary ideas of limits, rates of change, and the derivativeĪ. Demonstrate an understanding of elementary functionsī. interpret mathematical solutions Course ContentĪ. discuss mathematical problems and write solutions in accurate mathematical language and notation use technology, such as graphing calculators and/or computer software to assist in solving problems involving any of the topics in (A) through (G) above demonstrate an understanding of antidifferentiation techniques and be able to analyze antiderivatives graphically and numerically solve applications problems using definite integrals, including problems drawn from business and economics demonstrate understanding of integration, including definite and indefinite integrals by using general integral formulas, integration by substitution and other integration techniquesį. use the derivative to solve application problems, including cost/marginal cost, profit/marginal profit, revenue/marginal revenue, optimization problems (max/min), rates of change and tangent linesĮ. apply techniques of differentiation, graphically, numerically and symbolically, including sketching graphs of functions using horizontal/vertical asymptotes, intercepts, and the first and second derivatives to determine intervals where the function is increasing/decreasing, is concave up/down, and has local extrema and points of inflectionĭ. demonstrate understanding of elementary ideas of limits, rates of change, and the derivativeĬ. demonstrate an understanding of elementary functions, including finding the derivatives of polynomial, rational, exponential, logarithmic functions, functions involving constants, sums, differences, products, quotients, and the chain ruleī. Students will demonstrate the ability to compute limits, rates of change, and integrals.Ī.They will demonstrate and communicate this understanding in a variety of ways, such as: reasoning with definitions and theorems, connecting concepts, and connecting multiple representations, as appropriate. Students will develop conceptual understanding of limits, rates of change, and integrals.Students will solve problems involving rates of change and integration drawn from business, economics, and the natural sciences. Foothill College Course Outline of Record Foothill College Course Outline of Record Headingĥ lecture per week (60 total per quarter)ĭemonstrated proficiency in English by placement via multiple measures OR through an equivalent placement process OR completion of ESLL 125 & ESLL 249.Īrea V: Communication & Analytical Thinking
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