Math 3130 Spring 16

## MATH 3130: Introduction to Linear Algebra (Spring 2016)

Syllabus

### Office hours:

Wednesday, 11-12 am, Thursday, 10-11 am

### Schedule

1. 01/11: linear equations (1.1)
2. 01/13: row reduction, echelon form (1.2)
3. 01/15: parametrized solutions, vectors (1.3)
4. 01/20: Ax=b (1.4)
5. 01/22: nullspace, (in)homogenous systems (1.5)
6. 01/25: linear independence (1.7)
7. 01/27: linear maps (1.8)
8. 01/27: standard matrix of linear transformation (1.9)
9. 02/01: injective, surjective linear maps
10. 02/03: matrix operations (2.1)
11. 02/05: matrix operations
12. 02/08: inverse matrix (2.2)
13. 02/10: MIDTERM
14. 02/12: characterizing inverse matrices (2.3)
15. 02/15: bijective linear maps (2.3)
16. 02/17: computer graphics, homogenous coordinates (2.7)
17. 02/19: vector spaces, subspaces (4.1)
18. 02/22: implications, truth tables, nullspace (4.2)
19. 02/24: column space (4.2), basis (4.3)
20. 02/26: linear independence (4.3)
21. 02/29: basis for column space, coordinates (4.4)
22. 03/02: change of coordinates (4.4)
23. 03/04: isomorphism between vectorspaces (4.4)
24. 03/07: dimension (4.5)
25. 03/09: rank, row space (4.6)
26. 03/11: determinants by expansion (3.1)
27. 03/14: determinants by row reduction (3.2)
28. 03/16: MIDTERM
29. 03/18: det and volume (3.3)
30. 03/28: eigenvectors, eigenvalues (5.1)
31. 03/30: characteristic polynomial (5.2)
32. 04/01: diagonalization (5.3)
33. 04/04: dynamical systems (5.3)
34. 04/06: inner product, length (6.1)
35. 04/08: angles, orthogonality (6.1)
36. 04/11: orthonormal basis (6.2)
37. 04/13: orthogonal projection (6.3)
38. 04/13: Gram Schmidt algorithm (6.4)
39. 04/18: QR-factorization (6.4)
40. 04/20: least squares solution (6.5)
41. 04/22: least squares for linear models (6.6)
42. 04/25: non unique least squares solution (6.5)
43. 04/27: revision (1-3)
44. 04/27: revision (4-6)
The numbering refers to sections in Lay: Linear Algebra