| 1 |
Systems of Linear Equations |
|
| 2 |
Echelon Form |
|
| 3 |
Matrices |
|
| 4 |
Matrices (cont.) |
|
| 5 |
Solution Spaces |
Problem set 1 due |
| 6 |
Inverses and Transposes |
|
| 7 |
Fields and Spans |
|
| 8 |
Vector Spaces |
Problem set 2 due |
| 9 |
Linear Independence |
|
| 10 |
Basis and Dimension |
|
| 11 |
Coordinates |
Problem set 3 due |
| 12 |
Review for Quiz 1 |
|
| 13 |
Quiz 1 (Chapters 0-1) |
|
| 14 |
Determinants |
|
| 15 |
Permutations |
|
| 16 |
Determinants (cont.) |
Problem set 4 due |
| 17 |
Laplace Expansion |
|
| 18 |
Review for Quiz 2 |
Problem set 5 due |
| 19 |
Quiz 2 (Chapter 2) |
|
| 20 |
Linear Transformations |
|
| 21 |
Rank, Kernel, Image |
|
| 22 |
Matrix Representations |
|
| 23 |
Eigenspaces |
|
| 24 |
Eigenspaces (cont.) |
Problem set 6 due |
| 25 |
Diagonalization |
|
| 26 |
Cayley-Hamilton Theorem |
|
| 27 |
Jordan Canonical Form |
|
| 28 |
Review for Quiz 3 |
Problem set 7 due |
| 29 |
Quiz 3 (Chapter 3) |
|
| 30 |
Computing Generalized Eigenvectors |
|
| 31 |
Norms and Inner Products |
|
| 32 |
Norms and Inner Products (cont.) |
|
| 33 |
Orthogonal Bases |
|
| 34 |
Orthogonal Projections |
|
| 35 |
Isometries, Spectral Theory |
|
| 36 |
Singular Value Decomposition |
Problem set 8 due |
| 37 |
Polar Decomposition |
|
| 38 |
Review for the Final |
|
