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Class cancelled/Operations suspended

UPDATE: Classes and campus operations will resume on Wednesday, Jan. 22. Due to inclement weather affecting the Bryan-College Station area, Texas A&M University has cancelled all classes for Tuesday, Jan. 21. Additionally, all campus operations have been suspended. A decision about Wednesday, Jan. 22 will be made by 5 p.m. on Tuesday, Jan. 21. Please visit emergency.tamu.edu for additional information about campus transportaion, campus dining, and other resources. Stay safe, Ags!

Computational and Data Sciences Applied to National Security and Nuclear Engineering Topics

Numerical Methods

  1. Gauss Elimination
  2. LU Factorization
  3. Basic Iterative Solvers (Jacobi and Gauss Seidel)
  4. Round-off error and finite precision arithmetic
  5. Interpolation (Lagrange polynomials and cubic splines)
  6. Basic curve fitting (linear regression)
  7. Quadrature techniques (Newton-Coates rules and Gaussian quadrature)
  8. Finite Difference Methods 9
  9. Convergence and order of accuracy
  10. Time integration techniques (forward and backward Euler, Crank-Nicolson, RungeKutta)
  11. Stability of numerical methods
  12. Eigenvalue problems and solution techniques (power iteration, inverse power iteration)

Monte Carlo Methods

  1. Cumulative Distribution Function
  2. Probability Density Functions
  3. Sampling from a distribution (inverting the Cumulative Distribution Function and rejection sampling)