Schedule
| Date |
Section |
Topic |
Notes |
Homework |
Homework Due Date |
| W Aug 27 |
Day One |
Intro to
Applications |
- |
1.2: 4,5,8,9,10
1.3.1
2.1: 1,3,5
2.2: 1a, 3
2.3: 1bdf, 3,5
2.4: 1c,5
2.5: 1c,4,7 |
W Sep 3 |
| W Sep 3 |
3.2-3.4 |
Matrix Algebra |
- |
3.2.3ab, 3.2.6, 3.2.8, 3.3.1, 3.3.2, 3.4.1 |
W Sep 10 |
| M Sep 8 |
3.5-3.7 |
Matrix
Inversion |
- |
3.5.4, 3.5.5, 3.5.8, 3.5.9, 3.6.2, 3.6.5, 3.6.10, 3.7.2, 3.7.3,
3.7.10b, 3.7.11a |
W Sep 17 |
| W Sep 10 |
4.1-4.2 |
Subspaces;
Range and Nullspace |
- |
4.1: 1cde, 2acfh, 6c ,9, 11, 12 |
W Sep 17 |
| M Sep 15 |
4.2-4.3 |
Linear Independence |
- |
4.2: 1,2,3,7,10,12,
4.3: 2,4,6,7,10,11 |
W Sep 24 |
| W Sep 17 |
4.3-4.4 |
Basis,Dimension |
- |
4.4: 1,4,5,8,9,15 |
W Sep 24 |
| M Sep 22 |
4.4 |
Rank+Nullity Theorem |
- |
- |
- |
| W Sep 24 |
4.5-4.6 |
Least Squares |
- |
4.5: 8, 20
4.6: 2,3,7,9 |
W Oct 1 |
| M Sep 29 |
EXAM 1 |
- |
- |
- |
- |
| W Oct 1 |
4.7 |
Linear Transformations |
- |
4,5,6,8,12a,13,19 |
W Oct 8 |
| M Oct 6 |
4.8 |
Change of Basis
Similarity |
- |
1,3,4,5,8,11,12 |
W Oct 15 |
| W Oct 8 |
5.3-5.4 |
Inner Product Spaces
Orthogonality |
- |
5.3: 2, 4
5.4: 1b, 3, 4, 9, 12, 13, 14, 15 |
W Oct 22 |
| M Oct 13 |
5.5, 5.6 |
Gram-Schmidt |
- |
5.5: 1, 2, 5, 11 |
W Oct 22 |
| W Oct 15 |
5.6 |
Unitary and Orthogonal Matrices |
- |
5.6: 2, 3, 4, 8, 11, 12, 18 |
W Oct 22 |
| M Oct 20 |
5.9 |
Complementary Subspaces |
- |
1,3,4,6,7 |
W Oct 29 |
| W Oct 22 |
5.10, 5.11 |
Range-Nullspace Decomposition
Orthogonal Decomposition |
- |
5.11: 1,3,4,5,11,14 |
W Oct 29 |
| M Oct 27 |
6.1 |
Determinants |
- |
3,5,11,12,18,19
And The Questions Here [pdf] |
W Nov 5 |
| W Oct 29 |
6.1 |
Determinants |
- |
- |
W Nov 5 |
| M Nov 3 |
EXAM 2 |
- |
- |
- |
- |
| W Nov 5 |
6.2 |
Determinants |
- |
6.1: 14,21
6.2: 1b,3b,5,7,9,14a,15a |
W Nov 19 |
| M Nov 10 |
7.1 |
Eigensystems |
- |
1abc,3,4,8,9,10,13,14,16,18 |
W Nov 19 |
| W Nov 12 |
7.2 |
Diagonalization |
- |
1,2,4,5,6,13 |
W Nov 26 |
| M Nov 17 |
7.2 |
Diagonalization |
- |
- |
W Nov 26 |
| W Nov 19 |
7.5 |
Spectral Theorem for Normal Matrices |
- |
7.2: 12, 20
7.5: 1,3,4,6,7,8 |
W Nov 26 |
| M Nov 24 |
7.5 |
Spectral Theorem for Normal Matrices |
PROJECT DUE |
- |
W Dec 3 |
| W Nov 26 |
7.3 |
Function of Matrices |
- |
1,3,4,6,9,10 |
W Dec 3 |
| M Dec 1 |
7.4 |
Systems of ODEs |
- |
1,2,4 |
Not Due |
| W Dec 3 |
7.6 |
Quadratic Forms |
- |
1,4,7 |
Not Due |
| M Dec 8 |
- |
REVIEW |
- |
- |
- |
| F Dec 12 |
FINAL |
1:00-3:00pm |
SOND 108 ***** |
- |
- |
