Browsing: All Content in Calculus for Taylor Series  Browse discussions |
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Exploring Infinite Series thro...
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Graphic demo. of convergence (Calculus) |
Sketchpad |
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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...
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Taylor polynomials (Calculus) |
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Introduction to Taylor series as approximations to a function.
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Polynomial Approximations
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Taylor polynomials (Calculus) |
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Introduces Taylor polynomials as approximation to functions.
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Power Series
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Radius and interval of conv. (Calculus) |
Computer |
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Defines power series and discusses intervals of convergence.
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Power Series
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Differentiation and antidiff. (Calculus) |
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Theorems concerning differentiation, integration, and radius of convergence of power series.
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Taylor Polynomials
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Taylor polynomials (Calculus) |
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Definition of the nth Taylor polynomial of a function.
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Taylor Series (TI Interactive)
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Taylor Series (Calculus) |
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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
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Radius and interval of conv. (Calculus) |
Flash |
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Discusses the radius of convergence of the sum from 0 to infinity of n^3 (x-1)^n/ 7^(n+1).
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Power Series
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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 n! x^n.
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Power Series
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Series for common functions (Calculus) |
Flash |
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Uses creative substitution to find a power series for the function g(x) = 1/(x^4+1).
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Power Series
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Radius and interval of conv. (Calculus) |
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Discusses the radius of convergence of the sum from 0 to infinity of x^n/n^3.
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Power Series
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Radius and interval of conv. (Calculus) |
Flash |
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Discusses the radius of convergence of the sum from 0 to infinity of 5^n (x-2)^n/(8n^7).
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Power Series
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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
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Differentiation and antidiff. (Calculus) |
Flash |
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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
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Differentiation and antidiff. (Calculus) |
Flash |
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Uses a power series to calculate the integral of arctan(x^2).
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Power Series
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Series for common functions (Calculus) |
Flash |
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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
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Differentiation and antidiff. (Calculus) |
Flash |
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Calculates the derivative and the integral of the function g(x) = x^n/n!.
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Power Series
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Radius and interval of conv. (Calculus) |
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Discusses the radius of convergence of the sum from 0 to infinity of x^n/n!
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Sequences and Series of Functi...
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Taylor Series (Calculus) |
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The applet plots consecutive terms of a user-defined 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
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Series for common functions (Calculus) |
Flash |
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Finds the Taylor polynomial for f(x) = sin(x) about x=0.
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Taylor Polynomials
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Taylor polynomials (Calculus) |
Flash |
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Finds the Taylor polynomial for f(x) = cos(3x) about x=0.
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Taylor Polynomials
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Series for common functions (Calculus) |
Flash |
Tool |
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Finds the Taylor polynomial for f(x) = ln(x) about x=1.
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Taylor Polynomials
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Taylor polynomials (Calculus) |
Flash |
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Proof that Taylor polynomials are the appropriate series representation of a function.
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Taylor Polynomials
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Taylor polynomials (Calculus) |
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Finds the Taylor polynomial for f(x) = e^x about x=0.
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Constant, Linear, Quadratic an...
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Taylor polynomials (Calculus) |
Java Applet |
Tool |
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Graphs constant, linear, quadratic, and cubic approximations to various functions.
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