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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