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Exploring Infinite Series thro...

Graphic demo. of convergence (Calculus) 
Sketchpad 
Activity 

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This activity is an introduction to the concept of convergent infinite series using an iterative geometric construction. This activity has been adapted from the following article: Choppin, J. M. (1994...
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Higher Approximations and Tayl...

Taylor polynomials (Calculus) 
Computer 
Support Material 

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Introduction to Taylor series as approximations to a function.
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Polynomial Approximations

Taylor polynomials (Calculus) 
Computer 
Support Material 

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Introduces Taylor polynomials as approximation to functions.
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Power Series

Radius and interval of conv. (Calculus) 
Computer 
Support Material 

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Defines power series and discusses intervals of convergence.
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Power Series

Differentiation and antidiff. (Calculus) 
Computer 
Support Material 

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Theorems concerning differentiation, integration, and radius of convergence of power series.
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Taylor Polynomials

Taylor polynomials (Calculus) 
Computer 
Support Material 

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Definition of the nth Taylor polynomial of a function.
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Adaptive Learning Tool for Mat...

Taylor Series (Calculus) 
Computer 
Tool 

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The ToKToL online adaptive learning platform contains a large (2000) set of maths questions and associated explanatory texts. Questions are selected to adjust to the ability of the student so that whe...
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Taylor Series (TI Interactive)

Taylor Series (Calculus) 
Computer 
Tool 

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This TI Interactive file is best suited for teacher demonstration. This document allows the user to define a function f(x). The slider bar's values range from [0, 10] with an increment of 1. As the u...
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Power Series

Radius and interval of conv. (Calculus) 
Flash 
Tool 

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Discusses the radius of convergence of the sum from 0 to infinity of x^n/n!
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Power Series

Radius and interval of conv. (Calculus) 
Flash 
Tool 

[0]

Discusses the radius of convergence of the sum from 0 to infinity of n! x^n.
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Power Series

Radius and interval of conv. (Calculus) 
Flash 
Tool 

[0]

Discusses the radius of convergence of the sum from 0 to infinity of x^n/n^3.
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Power Series

Radius and interval of conv. (Calculus) 
Flash 
Tool 

[0]

Discusses the radius of convergence of the sum from 0 to infinity of 5^n (x2)^n/(8n^7).
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Power Series

Radius and interval of conv. (Calculus) 
Flash 
Tool 

[0]

Discusses the radius of convergence of the sum from 0 to infinity of n^3 (x1)^n/ 7^(n+1).
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Power Series

Series for common functions (Calculus) 
Flash 
Tool 

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Uses creative substitution to find a power series for the function g(x) = 1/(x+1).
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Power Series

Series for common functions (Calculus) 
Flash 
Tool 

[0]

Uses creative substitution to find a power series for the function g(x) = 1/(x^4+1).
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Power Series

Differentiation and antidiff. (Calculus) 
Flash 
Tool 

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Uses differentiation to find a power series for the function h(x) = ln(x+1).
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Power Series

Differentiation and antidiff. (Calculus) 
Flash 
Tool 

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Uses integration to find a power series for the function h(x) = arctan(x^2).
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Power Series

Differentiation and antidiff. (Calculus) 
Flash 
Tool 

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Calculates the derivative and the integral of the function g(x) = x^n/n!.
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Power Series

Differentiation and antidiff. (Calculus) 
Flash 
Tool 

[0]

Uses a power series to calculate the integral of arctan(x^2).
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Sequences and Series of Consta...

Graphic demo. of convergence (Calculus) 
Flash 
Tool 

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The applet shows graphically and numerically consecutive terms of a sequence or consecutive partial sums of a series. The user enters a formula for a sequence or a series and the terms are plotted. Ma...
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Sequences and Series of Functi...

Taylor Series (Calculus) 
Flash 
Tool 

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The applet plots consecutive terms of a userdefined sequence or a series of functions. Those can be, in particlular, Taylor series and Fourier series. A piecewise defined limit function can also be e...
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Taylor Polynomials

Taylor polynomials (Calculus) 
Flash 
Tool 

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Proof that Taylor polynomials are the appropriate series representation of a function.
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Taylor Polynomials

Taylor polynomials (Calculus) 
Flash 
Tool 

[0]

Finds the Taylor polynomial for f(x) = e^x about x=0.
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Taylor Polynomials

Series for common functions (Calculus) 
Flash 
Tool 

[0]

Finds the Taylor polynomial for f(x) = sin(x) about x=0.
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Taylor Polynomials

Taylor polynomials (Calculus) 
Flash 
Tool 

[0]

Finds the Taylor polynomial for f(x) = cos(3x) about x=0.
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