Lecture slides

0. Course info

1. Matlab Basics

2. Floating Point Arithmetic

3. Solving Linear Systems, part 1

4. Solving Linear Systems, part 2

5. Solving Linear Systems, part 3

6. Sensitivity of the Solution of a Linear System

7. Linear Least Squares. Normal Equation.

8. Linear Least Squares. QR Decomposition.

9. Linear Least Squares. SVD Decomposition.

10. Regularized Linear Least Squares.

11. Data assimilation.

12. Nonlinear equatoins.

13. Nonlinear equatoins in Rn.

14. Polynomial Interpolation.

15. Splines.

16. Numerical Integration 1.

17. Numerical Integration 2.

18. ODE 1.