Programa graphmatica how to#
* Oral Review: Discussion about using a calculator to find the value of a derivative at a point, and how to graph the derived function using a calculator. Major Assignments and Assessments * Problem sets * Concavity and the second derivative test * Rolle’s Theorem and the Mean Value Theorem * Optimization – absolute and relative extrema * Analysis of curves including monotonicity and concavity * Mean Value Theorem and geometric consequences * Points of inflection as places where concavity changes * Relationship between the concavity of f and the sign of f’ * Corresponding characteristics of graphs of f, f’, and f’’ * Relationship between the increasing and decreasing behavior of f and the sign of f’ * Corresponding characteristics of graphs of f and f’ * Test – Differentiation Module 3: Applications of Differentiation Suggested Pace: 6 weeks Discussion about the limitations of the calculator to find the numerical derivative (for example, f ‘(0) for f (x) = |x|). * Oral Review: Discussion about using the calculator to find the critical values of a function by examining the graph of the function and the graph of the function’s derivative.
* Find antiderivatives including the use of substitution * Use of the Fundamental Theorem of Calculus to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined * Use of the Fundamental Theorem of Calculus to evaluate definite integrals * Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval: * Definite integral as a limit of Riemann sums Module 4: Integration Suggested Pace: 4 weeks
Programa graphmatica software#
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