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:
  1. Mathematical Techniques
    1. Vectors and Tensors and Applications
    2. Optimization and Extremums and Applications
    3. Operational Mathematics and Applications
    4. Important Classes of Analytical Solutions to PDE
  2. Numerical and Computational Techniques
    1. Numerical Methods and Applications
    2. Computational Methods and Applications
  3. Statistical Methods and Applications