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Lesson Plan
Curated OER

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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Worksheet
Curated OER

Questions over Chapter 12: Calculus and Analytic Geometry

For Students Higher Ed
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
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Worksheet
Curated OER

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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Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus With Theory

For Teachers 9th - 10th
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
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Handout
Wolfram Research

Wolfram Math World: Power Series

For Students 9th - 10th Standards
This site gives many different summation formulas and their expansions. Very Comprehensive site
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Activity
Math Medics

S.o.s. Math: Power Series

For Students 9th - 10th Standards
Through a step-by-step process beginning with the geometric series, this lesson explains the power series. Content includes a detailed example and a learning exercise.
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Handout
Other

Lake Tahoe Community College

For Students 9th - 10th
This site offers a clear definition of what a Power Series is and clearly discusses the radius of Convergence using the ratio test through clear examples.
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Activity
Mathematics Archives

Math Archives: Virtual Calculus Power Series

For Students 9th - 10th
This site provides a general overview of the power series, complete with a detailed example and theorem.
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Handout
Washington State University

Washington State University: Power Series and Convergence: Power Series Review [Pdf]

For Students 9th - 10th
This PDF reviews the various power series and explains convergence.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Series and Sequences

For Students 9th - 10th
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
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Website
National Council of Teachers of Mathematics

The Math Forum: Famous Problems in the History of Mathematics

For Students 9th - 10th
On this site, there are several math problems to explore and solve. Look through some solutions by famous mathematicians and expand your thinking about some interesting math concepts. Teachers of elementary grades may want to use this...
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Handout
Math Open Reference

Math Open Reference: Power Series

For Students 9th - 10th
Learn about a power series with this handy reference guide. Provides detailed definitions, examples, and animations that enhance further explanation. Includes links to related topics.
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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
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
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Handout
Wolfram Research

Wolfram Math World: Radius of Convergence

For Students 9th - 10th
MathWorld provides a site about the Radius of Convergence. Brief and factual, formulas are provided along with several links to additional information on related subjects.
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Activity
Math Words

Math words.com: Power Series

For Students 9th - 10th
This tutorial defines exactly what a power series is, complete with an example.