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Recognize power functions written in rational or radical form and then implement the power rule to find the derivative of the function.Calculate the derivative of linear and polynomials functions.best linear approximation) to the graph of a function at a point. Solve business application problems involving finding the marginal of some function using differentiation.Use the definition of the derivative to compute the derivative of simple power functions and polynomials.Estimate the instantaneous rate of change of a function from its graph.compute the average rate of change of a function over an interval.Evaluate limits at h=0 of the difference quotients of a variety of functions.Use a graph or a tabular representation to estimate limits at infinity.Use properties of limits (linearity, products, quotients and compositions) to calculate limits or determine that the limit does not exist.Use factoring to compute limits of rational functions that initially give indeterminate forms.Evaluate limits from a graphical or algebraic representation of a function or distinguish those cases in which the limit does not exist.Determine the qualitative behavior of the graph of a power function based on its coefficient and exponent.Identify from graph the intervals in which a function is increasing or decreasing.Identify polynomial expressions and distinguish between polynomial and non-polynomial functions from their algebraic and graphical representations.Interpret the meaning of negative and fractional exponents.Demonstrate familiarity with the laws of exponents and their applications.Demonstrate understanding of the terminology: slope, intercept, polynomial, binomial, monomial, term, coefficient, leading coefficient, degree, (relative) minima, maxima, and extrema, even and odd functions.Develop a linear model from a verbal description of a scenario and use it in making predictions.Find the intersection point (when it is unique) of two lines and solve business applications problems using this skill.
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Decide whether a pair of lines have 0,1 or infinitely many intersection points.Translate between algebraic, graphical and tabular representations of the same linear function.Translate between general form, slope-intercept form and point-slope form for the equations of lines.Set 02 Review of Linear, Polynomial and Power Functions.Translate between graphical and tabular representations of the same function.
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#Business calculus install#
To install a local copy of the course, download the tar file for the model course from GitHub. The names of the problem sets are meant to be descriptive and the learning objectives will help you evaluate if the set should be included or not.Ī copy of the course can be found at modelCourse Business Calculus at the MAA website. Faculty can rearrange the topics and delete any sections they do not wish to cover, or wish to assess by other means. The topics covered are fairly standard in a business calculus course and treated less rigorously than they would be in a traditional calculus course. The problem sets were assembled to allow for personalization by individual faculty. Tim Flowers (Indiana University of Pennsylvania).Joe Fields (Southern Connecticut State University).McGraw Hill, 2010.ĭeveloped at the 2013 PREP Model Course Workshop by: Calculus for Business, Economics, and the Social and Life Sciences, Tenth Edition. Calculus and Its Applications, Tenth Edition. Possible textbooks include, but are not limited to: These sets can be rearranged to meet individual needs. This model assumes that exponential functions and logarithmic functions are covered after differentiation and derivative applications.Satisfies math/calculus requirement for (most) business majors.Freshman level Business Calculus course.