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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor Polynomial Examples\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh schoolers graph Taylor polynomials. In this calculus lesson plan, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.\n
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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor Polynomials\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nPupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.\n
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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor Polynomials and Taylor Series\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Taylor polynomials and series worksheet, students identify a tangent line to a function and use the absolute value test to determine the values of x. This five-page worksheet contains four problems, plus explanations and examples.\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 38-Spring 1996\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.\n
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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor Polynomials, Minima, Maxima and Inflection Points\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.\n
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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor Series and Taylor Polynomials\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students solve problems that focus upon the use of the Taylor Series and Taylor Polynomials. Then they substitute and differentiate each equation.\n
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Taylor Polynomials\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.\n
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\n\"Homework\n\n
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\nCurated OER\n
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\nHomework Handout for Class 27\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this calculus learning exercise, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.\n
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\n\"Introduction\n\n
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\nCurated OER\n
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\nIntroduction to Taylor Series\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.\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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AP Test Prep
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\n\"1999\n\n
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\nCollege Board\n
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\n1999 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nGet a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...\n
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\n\"Higher\n\n
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\nCurated OER\n
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\nHigher Order Taylor Polynomials\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...\n
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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\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 15 - Spring 1996\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, learners solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 17\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.\n
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\n\"Visualizing\n\n
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\nCurated OER\n
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\nVisualizing Taylor Series and Fourier Series Approximations\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students read the examples of the Taylor series and geometric series. Then they investigate the application of examining the Taylor polynomials.\n
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\n\"Differentiability\n\n
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\nCurated OER\n
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\nDifferentiability and Linear Approximation\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this differentiability instructional activity, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page instructional...\n
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\n\"Using\n\n
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\nCurated OER\n
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\nUsing Fourier Series\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....\n
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\n\"Twenty-Eight\n\n
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\nCurated OER\n
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\nTwenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.\n
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\n\"NUMB3RS\n\n
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\nNUMB3RS - Season 2 - \"Convergence\" - Air Hockey\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...\n
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\nTexas Instruments\n
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\n Convergence of Taylor Series\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series. \n
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\n\"Indeterminate\n\n
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\nCurated OER\n
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\nIndeterminate Forms and L'Hopital's Rule\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this limits worksheet, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.\n
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\n\"Limit\n\n
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\nLimit of a Sequence\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nYoung scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.\n
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\n\"Taylor\n\n
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\nTaylor Series: Natural Number\n

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\n\nFor Students\n\n9th - Higher Ed\n
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\nIn this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.\n
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