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Welcome to the website for a Numerical Methods course for engineering undergraduates. It is dedicated to reaching a large audience of undergraduate students through its holistic but customized approach.

Holistically, the resources review background information; present numerical methods through notes, presentations, simulations and assessments; show how what they learned is applied in real life; tell stories to illustrate special topics and pitfalls; and give historical perspectives.

From a customized perspective, the user can choose a major of choice - Chemical, Civil, Computer, Electrical, General, Industrial or Mechanical Engineering. You can choose Maple, Mathcad, Mathematica or Matlab as one of the packages used to illustrate algorithms, convergence and pitfalls of the numerical methods.

MAPLE

Chemical

Civil

Computer

Electrical

General

Industrial

Mechanical

   Nonlinear Equations

   Interpolation

   Regression

   Integration

  Simultaneous Linear Eqns

  Ordinary Differential Eqns

MATHCAD

   Nonlinear Equations

   Interpolation

   Regression

   Integration

  Simultaneous Linear Eqns

  Ordinary Differential Eqns

MATHEMATICA

   Nonlinear Equations

   Interpolation

   Regression

   Integration

  Simultaneous Linear Eqns

  Ordinary Differential Eqns

MATLAB

   Nonlinear Equations

   Interpolation

   Regression

   Integration

  Simultaneous Linear Eqns

  Ordinary Differential Eqns

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