Transforming Numerical Methods Education for the STEM Undergraduate
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] [MWS]
Convergence Worksheet of Trapezoidal Method [PDF] [MWS]
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] [MWS]
Convergence Worksheet of Simpson's 1/3rd Rule Method [PDF] [MWS]
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] [MWS]
Convergence Worksheet of Romberg Method [PDF] [MWS]
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] [MWS]
Convergence Worksheet of Gauss-Quadrature Method [PDF] [MWS]
Test Your Knowledge of Gauss-Quadrature Method [HTML] [FLASH] [PDF] [DOC]
ANECDOTES
Integrating Discrete Function [PDF] [DOC] | [MWS] [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]