A First Course in Numerical Methods with “Mathematica“

In the present paper some recommendations for the use of software package “Mathematica" in a basic numerical analysis course are presented. The methods which are covered in the course include solution of systems of linear equations, nonlinear equations and systems of nonlinear equations, numerical integration, interpolation and solution of ordinary differential equations. A set of individual assignments developed for the course covering all the topics is discussed in detail.

Authors:

• Andrei A. Kolyshkin

Keywords:

• Numerical methods
• "Mathematica"
• e-learning.

References:

[1] D. Dubic, Numerical and analytical methods for scientists and engineers
using Mathematica. New York: Wiley, 2003.
[2] C.-L. Sandblom, Practical optimization methods with Mathematica
applications. New York: Springer, 2000.
[3] http://numericalmethods.eng.usf.edu/nbm
[4] http://math.fullerton.edu/mathnews/n2003/Web/NumericalModels.html
[5] G.H. Golub, and C.F. Van Loan, Matrix computations. New York: The
Johns Hopkins University Press, 1996.
[6] R.A. Horn, and C.R. Johnson, Matrix analysis. London: The Cambridge
University Press, 1985.