Worksheet
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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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#### Power and Maclaurin Series

For Students 11th - 12th
In this calculus worksheet, learners solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
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#### Maclaurin Series Quiz

For Students Higher Ed
In this Maclaurin series activity, 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 activity contains two multi-step...
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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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#### Worksheet 19-Spring 1996

For Teachers Higher Ed
In 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...
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#### Cubic Approximation

For Students Higher Ed
In 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.
AP Test Prep
College Board

#### 2011 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Take 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...
AP Test Prep
College Board

#### 2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep 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...
AP Test Prep
College Board

#### 2006 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Go 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,...
AP Test Prep
College Board

#### 2002 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Though 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...
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#### Math 16C: Worksheet 10

For Students 12th - Higher Ed
In this calculus worksheet, students answer eleven short-answer problems regarding differentiation methods, common functions, the Maclaurin series, and the Taylor series.
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#### Matter and Motion

For Teachers 11th - Higher Ed
In 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...
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#### Optional Power Series Problems

For Students Higher Ed
In this power series instructional activity, 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....
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#### Differential Equations

For Students 12th - Higher Ed
In 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.
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#### Error and Power Series

For Students Higher Ed
In this college level calculus worksheet, 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 worksheet contains seven...
Lesson Plan
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#### Worksheet 11 - Intervals

For Teachers Higher Ed
In 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.
Lesson Plan
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#### Worksheet 25

For Teachers Higher Ed
In 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...
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#### Numeral Analysis: Rate of Convergence

For Students 11th - 12th
For this rate of convergence worksheet, learners use three different methods to compute an order of convergence of a function. This four-page worksheet contains approximately 10 problems, with examples.
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#### Complex Analysis: Compute Residues

For Students Higher Ed
In this residue worksheet, students use the Laurent series formula to compute residues. This two-page worksheet contains five problems.