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107 reviewed resources for taylor series

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Taylor Series | Essence of Calculus, Chapter 10

For Students 11th - Higher Ed
Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.
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Taylor Series: Natural Number

For Students 9th - Higher Ed
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Taylor Series and Taylor Polynomials

For Students 11th - Higher Ed
In 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.
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Convergence of Taylor Series

For Teachers 9th - 12th Standards
Students 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. 
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Applications of Taylor Polynomials

For Students 11th - Higher Ed
In 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.
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Introduction to Taylor Series

For Students Higher Ed
In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.
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Worksheet 39 - Polar Coordinates

For Teachers Higher Ed
In this polar coordinates worksheet, pupils graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.
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Exploring Taylor's Integrals

For Teachers 9th - 12th
Students are introduced to the use of Taylor's polynomials to integrate functions that are not easily integrated by hand. They complete a series of calculations that vary from integrating to finding a Taylor polynomial. Students...
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Express Yourself Lesson Seed 19: Synthesis

For Teachers 6th Standards
Wrap up your unit on The Cay with an engaging argumentative writing assignment. Writers must decide if they believe The Cay should be banned. The resource includes links to several articles, which have been addressed and examined in...
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Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
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Polynomial Approximations--An Introduction to the Taylor Series

For Teachers 12th
Twelfth graders examine the Taylor Series.  For this calculus lesson, 12th graders explore the representation of a function as an infinite sum of terms calculated form the values of its derivatives at a single point, hence the Taylor...
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AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
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Worksheet 22

For Students 11th - Higher Ed
In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
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Worksheet 17

For Students 11th - Higher Ed
In 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.
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Rates of Convergence of Functions and Sequences

For Students 12th - Higher Ed
In this math instructional activity, learners explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
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Introduction to Taylor Series

For Students Higher Ed
In 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.
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Intervals of Convergence

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of intervals and how they converge. Then students apply the Taylor series for the problems.
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Taylor and Maclaurin Series

For Students 11th - 12th
In 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.
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Infinite Sequences and Series

For Teachers 12th - Higher Ed
Students investigate sequences and series numerically, graphically, and symbolically.  In this sequences and series lesson, students use their Ti-89 to determine if a series is convergent.  Students find the terms in a sequence and...
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Express Yourself Lesson Seed 13: Character Development 2

For Teachers 6th Standards
Building upon prior lessons in the series, this reading and writing exercise requires pupils to look back at their own writing, track character development in the novel The Cay, and analyze how Phillip has changed. The reading focus is...
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Express Yourself Lesson Seed 12: Story Event

For Teachers 6th Standards
Focus on plot and the impact-specific events in The Cay. Class members use their double-entry journals, created in a previous lesson in this series, to record their thinking about the guiding question as they read chapters 15 through 17....
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Discussion Sheet 11: Taylor Series and Maclaurin Series

For Students Higher Ed
In 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...
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Taylor Series

For Students 12th - Higher Ed
In this Calculus worksheet, students use Taylor's inequality to show that the series converges to sin(x). The two page worksheet contains seven questions. Answers are not included.
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2007 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...

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