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Worksheet
Curated OER

Worksheet 9

For Students 11th - Higher Ed
In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
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Worksheet
Curated OER

Worksheet 16 Practice Exam 1

For Students 11th - Higher Ed
In this math learning exercise, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
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Worksheet
Curated OER

Worksheet 15

For Students 11th - Higher Ed
In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
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Worksheet
Curated OER

Worksheet 13

For Students 11th - Higher Ed
In this math worksheet, learners define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
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Worksheet
Curated OER

Worksheet 9 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students state the tests for convergence or divergence of a series. Then they apply the tests of convergence and divergence.
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Worksheet
Curated OER

Worksheet 10 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
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Worksheet
Curated OER

Worksheet 12 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
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Worksheet
Curated OER

Worksheet 21

For Students 11th - Higher Ed
In this math worksheet, students find the interval convergence of the series. They also practice writing a series and the functions. Students find the Taylor series about zero.
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Worksheet
Curated OER

Worksheet 23

For Students 11th - Higher Ed
In this math worksheet, students find two power series solutions to Airy's equation. Then they find the radius of convergence for the solutions.
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Worksheet
Curated OER

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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Article
PBS

Pbs Learning Media: Convergence: Marsupials and Placentals

For Students 9th - 10th
This graphic illustrates some of the marsupial mammals in Australia and placental mammals in North America. Even though they are not closely related, these mammals look alike because they have adapted to similar ecological roles. From...
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Unit Plan
Vision Learning

Visionlearning: Earth Science: Plate Tectonics Ii: Plate Boundaries and Forces

For Students 9th - 10th
Instructional module focusing on plate tectonics. Discussion includes plates, plate boundaries, and driving forces. Site also includes an interactive practice quiz and links relating to the topic.
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Website
Other

The Center for the Study of Technology and Society

For Students 9th - 10th
This online magazine offers the latest news and information concerning the relationship between society and available technologies.
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Activity
Other

Seton Hall University: Series and Convergence

For Students 9th - 10th
This fantastic resource addresses many aspects of series and convergence. Uses interesting and helpful examples. Provides the option to follow links to proofs and answers to exercises. Also discusses Zeno's paradox of Achilles and the...
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Advanced Integration Techniques

For Students 9th - 10th
Hotmath provides 23 practice problems dealing with advanced integration techniques. Each of the practice problems include a step-by-step guide for solving the integral.
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Unknown Type
Texas Education Agency

Texas Gateway: Chapter 6: Economic Growth: Critical Thinking Questions

For Students 9th - 10th
This section provides a list of 10 critical thinking study questions over the content of Chapter 6: Economic Growth from Texas Gateway AP Macroeconomics online text.
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Activity
Mathematics Archives

Math Archives: Visual Calculus: Absolute Convergence

For Students 9th - 10th
A good site explaining absolute convergence. The site has the definition, theorem and examples.
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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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Lesson Plan
Texas Instruments

Texas Instruments: Exploring Infinite Series

For Teachers 9th - 10th Standards
In this activity, students learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.
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Activity
Math Medics

S.o.s. Math: The Radius of Convergence of Series Solutions

For Students 9th - 10th
This S.O.S. Math lesson discusses various mathematical equations and theorems which converge and solve the given differential equation, including Fuchs's Theorem, Hermite's Equation, Legendre's Equation, and Bessel's Equation.
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Handout
Other

Math Pages: Mean Partial Sums of Non Convergent Series

For Students 9th - 10th
This is a wordy and comprehensive site explaining the mean partial sums of non-convergent series.
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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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Activity
Texas Instruments

Texas Instruments: Approximating Integrals With Riemann Sums

For Teachers 9th - 10th
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
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Handout
Other

University of Edinburgh: Glossary of Introductory Computer Graphics Terms

For Students 9th - 10th
This website, from the University of Edinburgh, provides a lengthy glossary of computer graphics terms written by Olin Lathrop, author of "The Way Computer Graphics Work". This site provides simple definitions of basic terms; no graphics...