Browsing: All Content in Calculus for Polynomial Approxs. and Series  Browse discussions |
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Exercises
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Concept of infinite series (Calculus) |
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Experiment with series: find expressions for simple series, as well as using the technical definition of convergence.
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Solutions
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Concept of infinite series (Calculus) |
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Solutions to the series exercises.
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Exploring Infinite Series thro...
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Concept of infinite series (Calculus)+ |
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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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Absolute Convergence
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Polynomial Approxs. and Series (Calculus) |
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Definitons of absolute and conditional convergence, and related tests for the convergence of an infinite series.
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Alternating Series
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Altern. series, error bound. (Calculus) |
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Defines the Alternating Series Test and gives a way to calculate the error when approximating the sum of a series by a partial sum.
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Comparison Test
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Comparison test (Calculus) |
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Defines the comparison test for convergence of a series.
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Integral Test
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The integral test, p-series (Calculus) |
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Definition of the integral test and the p-series test.
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Integral Test Estimate
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The integral test, p-series (Calculus) |
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A theorem about using integrals to estimate the difference between the limit of a series and one of its partial sums.
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Limit Comparison Test
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Polynomial Approxs. and Series (Calculus) |
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Defines the Limit Comparison Test, which compares the ratios of terms in different sequences.
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Ratio Test
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Ratio test (Calculus) |
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Defines the Ratio Test for convergence of an infinite series.
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Series and Convergence
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Concept of infinite series (Calculus) |
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An introduction to series and rules for their convergence.
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Limit Comparison Test
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Comparison test (Calculus) |
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Uses the Limit Comparison Test to determine whether the sum from 1 to infinity of 5^n/(7^n-n) converges.
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CurvFit
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Polynomial Approxs. and Series (Calculus) |
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CurvFit is a curve fitting program for Win 95/98. Lorentzian, Sine, Exponential and Power series are available models to fit your data. A Lorentzian series is highly recommended for real data espec...
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The Average Approximating Met...
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Polynomial Approxs. and Series (Calculus)+ |
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The average approximating method on the functional adjustment quantity (Sokolov's method makes increasing for the rate of convergence of series solution of the Volterra integral equation. ...
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Absolute Convergence
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Polynomial Approxs. and Series (Calculus) |
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Discusses the absolute convergence test for infinite series.
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Absolute Convergence
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Polynomial Approxs. and Series (Calculus) |
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Uses absolute convergence to determine whether the sum from 2 to infinity of cos(n)/(1-n^3) converges.
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Absolute Convergence
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Polynomial Approxs. and Series (Calculus) |
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Uses absolute convergence to determine whether the sum from 1 to infinity of sin((-1)^n/n^2) converges.
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Comparison Test
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Comparison test (Calculus) |
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Uses the comparison test to find whether or not the sum from one to infinity of 1/(n^3+4n^2+5) converges.
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Comparison Test
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Comparison test (Calculus) |
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Uses the comparison test to find whether or not the sum from one to infinity of 1/(n^3-4n^2+5) converges.
More: lessons, discussions, ratings, reviews,...
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Comparison Test
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Comparison test (Calculus) |
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Uses the comparison test to find whether or not the sum from one to infinity of n/(n^3-5) converges.
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Comparison Test
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Comparison test (Calculus) |
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Uses the comparison test to find whether or not the sum from one to infinity of 5^n/(7^n+1) converges.
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Comparison Test
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Comparison test (Calculus) |
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Discusses the mathematical basis of the comparison test.
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Comparison Test
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Comparison test (Calculus) |
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Uses the comparison test to find whether or not the sum from one to infinity of n/(n^3+1) converges.
More: lessons, discussions, ratings, reviews,...
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Integral Test
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The integral test, p-series (Calculus) |
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Discusses the integral test by comparing integrals and partial sums.
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Integral Test
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The integral test, p-series (Calculus) |
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Uses the integral test to determine whether the sum from n=1 to infinity of n/(n^2 +7) converges.
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