Curated OER
Taylor and Maclaurin Series
In this Taylor and Maclaurin series activity, learners 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.
Curated OER
Discussion Sheet 11: Taylor Series and Maclaurin Series
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...
Curated OER
Power and Maclaurin Series
In this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
Curated OER
Maclaurin Series Quiz
In 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...
Curated OER
Worksheet 19-Spring 1996
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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Optional Power Series Problems
In 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...
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Error and Power Series
For 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...
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Cubic Approximation
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.
College Board
2011 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
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...
College Board
2006 AP® Calculus BC Free-Response Questions Form B
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,...
College Board
2002 AP® Calculus BC Free-Response Questions Form B
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...
Curated OER
Matter and Motion
For 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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Math 16C: Worksheet 10
In this calculus worksheet, learners answer eleven short-answer problems regarding differentiation methods, common functions, the Maclaurin series, and the Taylor series.
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Complex Analysis: Compute Residues
In this residue worksheet, students use the Laurent series formula to compute residues. This two-page worksheet contains five problems.
Curated OER
Differential Equations
In this differential equation activity, students find the derivative of given equations and express their answers as Maclaurin series. This two-page activity contains examples and explanations. There are two problems in this activity.
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Worksheet 11 - Intervals
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.
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Worksheet 25
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...
Curated OER
Numeral Analysis: Rate of Convergence
In this rate of convergence worksheet, students use three different methods to compute an order of convergence of a function. This four-page worksheet contains approximately 10 problems, with examples.
Curated OER
Perturbing Functions and Introduction to Matlab
In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.