MATH 3130: Introduction to Linear Algebra (Spring 2016)

Office hours

Schedule

1. 01/11 M: linear equations (1.1)
2. 01/13 W: row reduction, echelon form (1.2)
3. 01/15 Fr: parametrized solutions, vectors (1.3)
4. 01/20 W: Ax=b (1.4)
5. 01/22 Fr: nullspace, (in)homogenous systems (1.5)
6. 01/25 M: linear independence (1.7)
7. 01/27 W: linear maps (1.8)
8. 01/27 Fr: standard matrix of linear transformation (1.9)
9. 02/01 M: injective, surjective linear maps
10. 02/03 W: matrix operations (2.1)
11. 02/05 Fr: matrix operations
12. 02/08 M: inverse matrix (2.2)
13. 02/10 W: MIDTERM 1
14. 02/12 Fr: characterizing inverse matrices (2.3)
15. 02/15 M: bijective linear maps (2.3)
16. 02/17 W: vector spaces (4.1)
17. 02/19 Fr: null spaces and column spaces (4.2)
18. 02/22 M: linearly independent sets and bases (4.3), truth tables and negation
19. 02/24 W: linearly independent sets and bases (4.3)
20. 02/26 Fr: coordinate systems (4.4)
21. 02/29 M: coordinate systems (4.4), kernel and range of a linear transformation
22. 02/24 W: dimension of a vector space (4.5)
23. 02/26 Fr: dimension of a vector space (4.5)
24. 02/29 M: the rank of a matrix (4.6)
25. 03/02 W: the rank of a matrix (4.6)
26. 03/04 Fr: electrical networks (1.10)
27. 03/07 M: determinants (3.1)
28. 03/09 W: review 1 for midterm 2
29. 03/11 Fr: properties of determinants (3.2)
30. 03/14 M: review 2 for midterm 2
31. 03/16 W: MIDTERM 2
32. 03/18 Fr: discussion of the midterm problems
33. 03/28 M: determinants as area and volume (3.3)
34. 03/30 W: eigenvectors and eigenvalues (5.1)
35. 04/01 Fr: the characteristic equation (5.2)
36. 04/04 M: diagonalization (5.3)
37. 04/06 W: inner product, length, and orthogonality (6.1)
38. 04/08 Fr: orthogonal sets (6.2)
39. 04/11 M: orthogonal sets (6.2)
40. 04/13 W: orthogonal projections (6.3)
41. 04/15 Fr: orthogonal projections (6.3)
42. 04/18 M: Gram-Schmidt process (6.4)
43. 04/20 W: least-squares solutions (6.5)
44. 04/22 Fr: linear regression (6.6)

Assignments

1. due 01/20, solutions
2. due 01/29, solutions
3. due 02/05, solutions
4. due 02/12, solutions
5. due 02/19, solutions
6. due 02/26, solutions
7. due 03/04, solutions
8. due 03/18, solutions
9. due 03/11, solutions
10. due 04/01, solutions
11. due 04/08, solutions
12. due 04/15, solutions
13. due 04/22, solutions

Quiz