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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor and Maclaurin Series\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series.  Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.\n
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\n\"Power\n\n
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\nCurated OER\n
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\nPower and Maclaurin Series\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus learning exercise, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.\n
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\n\"Maclaurin\n\n
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\nCurated OER\n
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\nMaclaurin Series Quiz\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Maclaurin series worksheet, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page worksheet contains two multi-step...\n
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\n\"Discussion\n\n
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\nCurated OER\n
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\nDiscussion Sheet 11: Taylor Series and Maclaurin Series\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Taylor and Maclaurin series worksheet, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page worksheet contains examples, explanations, and six...\n
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Lesson Plan
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 19-Spring 1996\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this math worksheet, students begin with the Maclaurin series and prove De Moivre's Theorem. They use the De Moivre Theorem to solve four problems. Students apply these theorems to explain why a flock of geese will fly in an uneven...\n
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\n\"Cubic\n\n
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\nCurated OER\n
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\nCubic Approximation\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this calculus and analytic geometry worksheet, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2011\n\n
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\nCollege Board\n
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\n2011 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nTake a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2010\n\n
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\nCollege Board\n
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\n2010 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nKeep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2006\n\n
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\nCollege Board\n
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\n2006 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nGo a little deeper. Learners use the released 2006 AP® Calculus BC free-response questions to review for the BC test, which covers content from Calculus AB and Calculus BC. Topics include volumes of revolution, particle motion,...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2002\n\n
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\nCollege Board\n
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\n2002 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nThough the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...\n
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\n\"Math\n\n
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\nCurated OER\n
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\nMath 16C: Worksheet 10\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students answer eleven short-answer problems regarding differentiation methods, common functions, the Maclaurin series, and the Taylor series.\n
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Lesson Plan
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\n\"Matter\n\n
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\nCurated OER\n
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\nMatter and Motion\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nIn this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...\n
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\n\"Optional\n\n
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\nCurated OER\n
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\nOptional Power Series Problems\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this power series worksheet, students use substitution, polynomial multiplication, polynomial division, differentiation, and integration to find numbers in a series. They write each Maclaurin series as a simple function. This one-page...\n
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\n\"Differential\n\n
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\nCurated OER\n
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\nDifferential Equations\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this differential equation worksheet, students find the derivative of given equations and express their answers as Maclaurin series. This two-page worksheet contains examples and explanations. There are two problems in this worksheet.\n
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\n\"Error\n\n
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\nCurated OER\n
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\nError and Power Series\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this college level calculus activity, students compare two series to compute the error given the number of terms added. Students write the Maclaurin and Taylor series for the given functions. The two page activity contains seven...\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 11 - Intervals\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.\n
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\nCurated OER\n
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\nWorksheet 25\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...\n
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\n\"Numeral\n\n
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\nCurated OER\n
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\nNumeral Analysis: Rate of Convergence\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this rate of convergence activity, students use three different methods to compute an order of convergence of a function. This four-page activity contains approximately 10 problems, with examples.\n
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Worksheet
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\n\"Complex\n\n
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\nCurated OER\n
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\nComplex Analysis: Compute Residues\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this residue worksheet, students use the Laurent series formula to compute residues. This two-page worksheet contains five problems.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Maclaurin Series\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis page provides the Maclaurin Series for math, which is derived from the Taylor Series. Also provides an extremely helpful list of Maclaurin Series for many common functions along with a useful search engine.\n
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Handout
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\n\"North\n\n
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\nNorthwestern University\n
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\nNorth Western: Taylor and Maclaurin Series Approximations [Pdf]\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe site gives the Taylor and Maclaurin Series Approximation.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Calculus: Maclaurin and Taylor Series Intuition\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson showing how to approximate a function at 0 using a polynomial by deriving the formula for a Maclaurin series. [12:58]\n
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Instructional Video
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\nKhan Academy\n
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\nKhan Academy: Calculus: Taylor Series at 0 (Maclaurin) for E to the X\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson using a Maclaurin series to approximate an exponential function by using a polynomial function and relates its polynomial approximation to that for the sine and cosine functions. [6:10]\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Calculus: Sine Taylor Series at 0 (Maclaurin)\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson using a Maclaurin series to approximate a sine function by using a polynomial function. [6:33]\n
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\n\nGet Free Access\n\nSee Review\n
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