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EBOOKS

   

Below are examples of how an instructor of a Numerical Methods course can develop an E-book on a single topic by using resources that are all available at the Holistic Numerical Methods Institute (HNMI) Website.

Although one of the primary advantages of a web-based resource is that one can use documents outside of its own domain, we are particularly using this example as a way to illustrate the holistic nature of the resources available at HNMI.  The e-books have been made only with the resources on this website.    

You are welcome to modify and edit e-books to suit your purpose.  The contents of the e-books include textbook notes, multiple choice examinations, simulations of methods, power point presentations, class lecture videos (limited to Bisection and Newton-Raphson methods), and problem sets.

 

NONLINEAR EQUATIONS

    Bisection Method

    Newton- Raphson Method

    Secant Method

 

SIMULTANEOUS LINEAR EQUATIONS

    Gaussian Elimination

    LU Decomposition Method

    Gauss-Seidal Method

 

INTERPOLATION

    Direct Method

    Newton Divided Difference Polynomial Method

    Lagrange Method

    Spline Method

 

REGRESSION

    Linear Regression

    Nonlinear Regression

 

INTEGRATION

    Trapezoidal Rule

    Simpson's 1/3rd Rule

    Romberg Rule

    Gauss Quadrature Rule

    Discrete Functions

 

ORDINARY DIFFERENTIAL EQUATIONS

     Euler's Method

    Runge-Kutta 2nd Order Method

    Runge-Kutta 4th Order Method

    Finite Difference Method

    Shooting Method

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.