ME 6795 Mathematical, Statistical, & Computational Techniques in Materials Science

ME 6795: Mathematical, Statistical, and Computational Techniques in Materials Science
Offered Every Fall

Credit Hours:	3-0-3
Prerequisites:	Graduate standing in engineering or related discipline
Catalog Description:	Emphasizes the fundamental physical, analytical, and mathematical techniques commonly encountered in materials engineering including stress and strain, crystallographic and orientation transformations, X-ray, TEM, and solid-state concepts. Crosslisted with MSE and TFE 6795.
Textbooks:	Lawrence E. Malvern, Introduction to Mechanics of a Continuous Medium, 1st Edition, Prentice Hall, 1997 Erwin Kreyszig, Advanced Engineering Mathematics, 8th Edition, John Wiley, 1998.
Instructor:	Arun M. Gokhale (MSE - Fall 2004)

Goals:

To learn the applications of mathematical, statistical, and computational techniques in Materials Science and Engineering, and the effective use of these tools for modeling materials processes, microstructures, and properties.

Topics:

1. Mathematical Techniques: A. Vectors and Tensors and Applications; B. Optimization and Extremums and Applications; C. Operational Mathematics and Applications; D. Important Classes of Analytical Solutions to PDE
2. Numerical and Computational Techniques: A. Numerical Methods and Applications; B. Computational Methods and Applications

3. Statistical Methods and Applications

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Revised June 2004