BACKGROUND |
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What is integration? [PDF] [DOC] A Primer on Integral Calculus [PDF] [DOC] Test your knowledge of background of integration [HTML] [PDF] [DOC]
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PHYSICAL PROBLEM |
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Find the vertical distance covered by a rocket when introduced to an equation for its velocity. [PDF] [DOC]
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NUMERICAL METHOD |
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A Textbook Chapter on Trapezoidal Rule? [PDF] [DOC] Trapezoidal Rule Derivation [YOUTUBE 10:51] Trapezoidal Rule: Example [YOUTUBE 7:18] Trapezoidal Rule Multiple Segment Rule: Motivation [YOUTUBE 4:53] Trapezoidal Rule Multiple Segment Rule: Derivation [YOUTUBE 7:48] Trapezoidal Rule Multiple Segment Rule: Example: Part 1 [YOUTUBE 8:17] Trapezoidal Rule Multiple Segment Rule: Example: Part 2 [YOUTUBE 3:41] Trapezoidal Rule Multiple Segment Rule: Error Derivation [YOUTUBE 8:46] Trapezoidal Rule Multiple Segment Rule: Error Example [YOUTUBE 8:52] Method of Undetermined Coefficients: Trapezoidal Rule Derivation [YOUTUBE 10:00] A Power Point Presentation on Trapezoidal Method [PDF] [PPT] Worksheet of Trapezoidal method [PDF] [MCD] Convergence worksheet of Trapezoidal Method [PDF] [MCD] Test your Knowledge of Trapezoidal Method [HTML] [PDF] [DOC]
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How does Simpson's 1/3rd Rule method work? [PDF] [DOC] A Power point presentation on Simpson's 1/3rd Rule method [PDF] [PPT] Worksheet of Simpson's 1/3rd Rule method [PDF] [MCD] Convergence worksheet of Simpson's 1/3rd Rule method [PDF] [MCD] Test your knowledge of Simpson's 1/3rd Rule method [HTML] [PDF] [DOC]
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How does Romberg method work? [PDF] [DOC] A Power point presentation on Romberg method [PDF] [PPT] Worksheet of Romberg method [PDF] [MCD] Convergence worksheet of Romberg method [PDF] [MCD] Test your knowledge of Romberg method [HTML] [PDF] [DOC]
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How does Gauss-Quadrature method work? [PDF] [DOC] Method of Undetermined Coefficients: Trapezoidal Rule Derivation [YOUTUBE 10:00] 2-pt Gaussian Quadrature Rule: Derivation [YOUTUBE 8:43] n-pt Gaussian Quadrature Rule: Discussion [YOUTUBE 8:52] Converting Limits of Integration [YOUTUBE 7:13] Gaussian Quadrature Rule: Example [ YOUTUBE 8:55] 1-pt Gaussian Quadrature Rule: Derivation [YOUTUBE 8:36] Complete Derivation of Two Point Gaussian Quadrature Rule: Part 1 [ YOUTUBE 9:46] Complete Derivation of Two Point Gaussian Quadrature Rule: Part 2 [ YOUTUBE 3:31] Complete Derivation of Two Point Gaussian Quadrature Rule: Part 3 [ YOUTUBE 9:58] A Power point presentation on Gauss-Quadrature method [PDF] [PPT] Worksheet of Gauss-Quadrature method [PDF] [MCD] Convergence worksheet of Gauss-Quadrature method [PDF] [MCD] Test your knowledge of Gauss-Quadrature method [HTML] [PDF] [DOC]
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ANECDOTES |
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Integrating discrete function [PDF] [DOC] | [MCD] [PDF] Integrating Discrete Functions by Average Method [YOUTUBE 8:29] Integrating Discrete Functions by Trapezoidal Rule [YOUTUBE 10:52] Integrating Discrete Functions via Polynomial Interpolation [YOUTUBE 9:32] |
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