Computational Methods in Mathematica

This course develops methods of computational science using Mathematica.

Course Lessons

  1. Introduction to the basic ideas of Mathematica.
  2. Some useful ideas from data analysis.
  3. Ordinary differential equations.
  4. Boundary-value problems and eigenvalue problems.
  5. Power series solutions and special functions.
  6. Matrices and vectors.
  7. Partial differential equations.
  8. Fourier Series, Fourier Transforms, and Laplace Transforms.
  9. Elliptic Partial Differential Equations.
  10. Parabolic Partial Differential Equations.
  11. Hyperbolic Partial Differential Equations.
  12. Monitoring numerical solutions and implementing finite-difference schemes.

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