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language

Mathematica

INTEGRATION

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Major

Chemical


BACKGROUND

What is integration? [PDF] [DOC]

A Primer on Integral Calculus [PDF] [DOC]

Test your knowledge of background of integration [HTML] [PDF] [DOC]

 

PHYSICAL PROBLEM

Find the time required for the oxygen to be consumed in a fuel cell. [PDF] [DOC]

 

NUMERICAL METHOD

TRAPEZOIDAL RULE

How does Trapezoidal method work? [PDF] [DOC]

A Power point presentation on Trapezoidal method [PDF] [PPT]

Simulation of Trapezoidal method [PDF] [NB]

Convergence Simulation of Trapezoidal method [PDF] [NB]

Test your knowledge of Trapezoidal method [HTML] [PDF] [DOC]

 

SIMPSON'S 1/3rd RULE

How does Simpson's 1/3rd Rule method work? [PDF] [DOC]

A Power point presentation on Simpson's 1/3rd Rule method [PDF] [PPT]

Simulation of Simpson's 1/3rd Rule method [PDF] [NB]

Convergence simulation of Simpson's 1/3rd Rule method [PDF] [NB]

Test your knowledge of Simpson's 1/3rd Rule method [HTML] [PDF] [DOC]

 

ROMBERG INTEGRATION

How does Romberg method work? [PDF] [DOC]

A Power point presentation on Romberg method [PDF] [PPT]

Simulation of Romberg method [PDF] [NB]

Convergence Simulation of Romberg method [PDF] [NB]

Test your knowledge of Romberg method [HTML] [PDF] [DOC]

 

GAUSS QUADRATURE

How does Gauss-Quadrature method work? [PDF] [DOC]

A Power point presentation on Gauss-Quadrature method [PDF] [PPT]

Simulation of Gauss-Quadrature method [PDF] [NB]

Convergence Simulation of Gauss-Quadrature method [PDF] [NB]

Test your knowledge of Gauss-Quadrature method [HTML] [PDF] [DOC]

 

ANECDOTES

Integrating discrete function  [PDF] [DOC] | [NB] [PDF]

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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Creative Commons License Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Mathematica, MathCAD, USF, FAMU and MSOE.  Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu