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ANECDOTES
NONLINEAR EQUATIONS

Quest for cubic equation solution [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Raphson [HTML] [PDF] [DOC]

Galois [HTML] [PDF] [DOC]

 

SIMULTANEOUS LINEAR EQUATIONS

 

Effect of significant digits on solution of equations

     Simulation [MWS]  [MCD] [NB] [MFILE] | Textbook notes [PDF] [DOC]

Saving of computational time for finding inverse of a matrix using LU decomposition

      Simulation [MWS] [MCD] [NB] [MFILE]  | Textbook notes [PDF] [DOC]

Adequacy of Solutions [PDF] [MWS] | [PDF] [DOC]

Eigenvalues and Eigenvectors [DOC] [PDF]

Gauss [HTML] [PDF] [DOC]

 
INTERPOLATION

History of Interpolation [PDF] [DOC] 

Dangers of extrapolation through NASDAQ, [PDF] [DOC]|[MWS] [MCD] [MFILE] [NBM]

Higher order interpolation is a bad idea [PDF] [DOC]| [MWS] [MCD] [MFILE] [NBM]

Comparison of spline & polynomial interpolation [PDF] [DOC]|[MWS] [MCD] [MFILE] [NBM]

Choice of points of interpolation affects approximations [PDF] [DOC]|[MWS] [MCD] [MFILE] [NBM]

Splines help in developing a shorter path for a robot [PDF] [DOC]|[MWS] [MCD] [MFILE] [NBM]

Runge [HTML] [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Lagrange [HTML] [PDF] [DOC]

 
INTEGRATION

What is integration? [PDF] [DOC]

A Primer on Integral Calculus [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Cotes [HTML] [PDF] [DOC]

Gauss [HTML] [PDF] [DOC]

Simpson [HTML] [PDF] [DOC]

Romberg [HTML] [PDF] [DOC]
ORDINARY DIFFERENTIAL EQUATIONS

What are ordinary differential equations? [PDF] [DOC]

A Primer on Ordinary Differential Equations [PDF] [DOC]

On solving higher order and coupled ordinary differential equations [PDF] [DOC]

Euler [HTML] [PDF] [DOC]

Runge [HTML] [PDF] [DOC]

Kutta [HTML] [PDF] [DOC]

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 Maple, MathCAD, USF, FAMU and MSOE.