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 language Matlab INTEGRATION Major General

BACKGROUND

Pre-Requisites for Integral Calculus [PDF] [DOC]

Objectives of Integral Calculus [PDF] [DOC]

What is Integration? [PDF] [DOC]

A Primer on Integral Calculus [PDF] [DOC]

Test Your Knowledge of Background of Integral Calculus [HTML] [FLASH] [PDF] [DOC]

PHYSICAL PROBLEM

Find the vertical distance covered by a rocket when introduced to an equation for its velocity. [PDF] [DOC]

NUMERICAL METHOD

Pre-Requisites for Trapezoidal Method [PDF] [DOC]

Objectives of Trapezoidal Method [PDF] [DOC]

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] [MFILE]

Convergence Worksheet of Trapezoidal Method [PDF] [MFILE]

Test Your Knowledge of Trapezoidal Method [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Simpson's 1/3 Rule [PDF] [DOC]

Objectives of Simpson's 1/3 Rule [PDF] [DOC]

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] [MFILE]

Convergence Worksheet of Simpson's 1/3rd Rule Method [PDF] [MFILE]

Test Your Knowledge of Simpson's 1/3 Rule [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Romberg Method [PDF] [DOC]

Objectives of Romberg Method [PDF] [DOC]

How Does Romberg Method Work? [PDF] [DOC]

A Power Point Presentation on Romberg Method [PDF] [PPT]

Worksheet of Romberg Method [PDF] [MFILE]

Convergence Worksheet of Romberg Method [PDF] [MFILE]

Test Your Knowledge of Romberg Method [HTML] [PDF] [DOC]

Pre-Requisites for Gauss-Quadrature  [PDF] [DOC]

Objectives of Gauss-Quadrature  [PDF] [DOC]

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] [MFILE]

Convergence Worksheet of Gauss-Quadrature Method [PDF] [MFILE]

Test Your Knowledge of Gauss-Quadrature Method [HTML] [FLASH] [PDF] [DOC]

ANECDOTES

Integrating Discrete Function  [PDF] [DOC] | [MFILE] [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]

Integrating Improper Integrals  [PDF] [DOC

Newton [HTML] [PDF] [DOC]

Cotes [HTML] [PDF] [DOC]

Gauss [HTML] [PDF] [DOC]

Simpson [HTML] [PDF] [DOC]

Romberg [HTML] [PDF] [DOC]

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