In-class code examples for numerical methods in Python. These examples are for teaching and should not be used in production. Bug reports and PRs welcome.

1. Intro to Scientific Python
2. Analytical and Numerical Models
3. Numerical Errors and Differentiation
4. Integration: Newton-Cotes
5. Integration: Romberg, Adaptive, Gauss
6. Linear Systems: Gauss Elimination, LU Decomposition
7. Linear Systems: Matrix Inverse, Iterative Methods
8. Root Finding: Bracketing Methods
9. Root Finding: Open Methods
10. Optimization
11. ODEs: Runge-Kutta Methods
12. Second-Order ODEs and Systems
13. Uncertainty Analysis
14. Parameter Estimation
15. Sensitivity Analysis
16. Boundary Value and Eigenvalue Problems
17. PDEs: Laplace Equation
18. PDEs: Diffusion Equation
19. PDEs: Wave Equation

• Chapra and Canale, Numerical Methods for Engineers 8th ed.
• Kong, Siauw, and Bayen, Python Programming and Numerical Methods
• Bryan, Differential Equations: A Toolbox for Modeling the World