PDE Handout for last week with homework an other about partial differential equations. Both homework assignements are on the handout. [HTML version], [PDF]. Section 9.4, nonlinear dynamics, the missing chapter, written by Otto Bretscher. We also have a HTML version of the handout. ODE cookbook

Book errata

1. Lecture: solving linear equations.	2. Lecture: Gauss-Jordan elemination.
3. Lecture: On systems of linear equations	4. Lecture: Linear transformations
5. Lecture: Geometry of linear trafos	6. Lecture: Inverse transformation
7. Lecture: Matrix product	8. Lecture: Image and kernel
8. Lecture: ICE on error correcting codes	9. Lecture: Basis
10. Lecture Dimension	11. Lecture: Coordinates
12. Lecture: Functionspace I	Review: Checklist
13. Lecture: Functionspace II	14. Lecture: Orthogonal basis
15. Lecture: Gram-Schmid	15. Lecture: Gram-Schmid ICE
16. Lecture: Orthogonal matrices	17. Lecture: Linear fit
18. Lecture: Determinant I	19. Lecture: Determinant II
20. Lecture: Discrete dynamical systems	20. Lecture: Eigenvalues
20. Lecture: Eigenvalues ICE	22. Lecture: Eigenvectors
23. Lecture: Diagonalization	24. Lecture: Complex numbers
25. Lecture: Stability	26. Lecture: Symmetric Matrices
27. Lecture: Differential equations I	28. Lecture: Differential equations II
29. Lecture: Nonlinear systems

Please send questions and comments to math21b@fas.harvard.edu

Math21b | Oliver Knill | Spring 2008 | Department of Mathematics | Faculty of Art and Sciences | Harvard University