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