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Lesson Plan
Curated OER

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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Worksheet
Curated OER

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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Worksheet
Curated OER

Cubic Approximation

For Students Higher Ed
In this calculus and analytic geometry activity, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.
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Worksheet
Curated OER

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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Worksheet
Curated OER

Discussion Sheet 11: Taylor Series and Maclaurin Series

For Students Higher Ed
In this Taylor and Maclaurin series instructional activity, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page instructional activity contains...
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Worksheet
Curated OER

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...
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Unit Plan
Wolfram Research

Wolfram Math World: Maclaurin Series

For Students 9th - 10th
This 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.
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Activity
Wolfram Research

Wolfram Math World: Exponential Function

For Students 9th - 10th Standards
This site contains graphs of the exponential function, identities relevant to the function, and the Maclaurin series for this function.
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Graphic
Wolfram Research

Wolfram Math World: Alcuin's Sequence

For Students 9th - 10th
A demonstration of Alcuin's Sequence.
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Handout
University of St. Andrews (UK)

University of St. Andrews: Colin Maclaurin

For Students 9th - 10th
This page from the University of St. Andrews offers an excellent biography on Colin Maclaurin, a Scottish mathematician and teacher(1698-1746.) Discusses his life and his contributions to mathematics and, to an extent, astronomy.
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Handout
Math Open Reference

Math Open Reference: Taylor Series and Polynomials

For Students 9th - 10th
Learn about Taylor series and polynomials with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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Handout
Northwestern University

North Western: Taylor and Maclaurin Series Approximations [Pdf]

For Students 9th - 10th
The site gives the Taylor and Maclaurin Series Approximation.