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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. |
| Instructors: |
Arun M. Gokhale (MSE) |
| 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: |
- Mathematical Techniques
- Vectors and Tensors and Applications
- Optimization and Extremums and Applications
- Operational Mathematics and Applications
- Important Classes of Analytical Solutions to PDE
- Numerical and Computational Techniques
- Numerical Methods and Applications
- Computational Methods and Applications
- Statistical Methods and Applications
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