| Date |
Section(s) in Text |
Brief Description |
| 9/20 |
1.1 |
Systems of Linear Equations |
| 9/21 (x-hour) |
|
x-hour proof workshop |
| 9/22 |
1.2 |
Row Reduction and Echelon Forms |
| 9/25 |
1.3 |
Vector Equations |
| 9/27 |
1.4, 1.5 |
The Matrix Equation Ax = b, Solution Sets of
Linear Systems |
| 9/28 (x-hour) |
|
x-hour proof workshop |
| 9/29 |
1.7 |
Linear Independence |
| 10/2 |
1.8 |
Introduction to Linear Transformations |
| 10/4 |
1.9 |
The Matrix of a Linear Transformation |
| 10/5 (x-hour) |
2.1, 2.2 |
Matrix Operations, The Inverse of a Matrix |
| 10/6 |
2.2, 2.3 |
The Inverse of a Matrix, Characterizations of Invertible
Matrices |
| 10/9 |
|
catch-up day; section 2.6 if time permits |
| 10/11 |
4.1 |
Vector Spaces and Subspaces |
| 10/12 (x-hour) |
|
in-class part of exam 1 (covers sections 1.1 – 1.9, 2.1
– 2.3 minus section 1.6) |
| 10/13 |
4.2 |
Null Spaces, Column Spaces, and Linear Transformations |
| 10/16 |
4.3 |
Linearly Independent Sets; Bases |
| 10/18 |
4.4 |
Coordinate Systems |
| 10/19 (x-hour) |
|
x-hour proof workshop |
| 10/20 |
4.5 |
The Dimension of a Vector Space |
| 10/23 |
4.6 |
Rank |
| 10/25 |
4.7 |
Change of Basis |
| 10/26 (x-hour) |
|
x-hour proof workshop |
| 10/27 |
3.1, 3.2 |
Introduction to Determinants, Properties of Determinants |
| 10/30 |
3.2, 3.3 |
Properties of Determinants, Determinants as Area or Volume, Linear
Transformations |
| 11/1 |
5.1 |
Eigenvectors and Eigenvalues |
| 11/2 (x-hour) |
|
in-class part of exam 2 (covers sections 4.1 – 4.7, 3.1
– 3.3) |
| 11/3 |
5.2 |
The Characteristic Equation |
| 11/6 |
5.3 |
Diagonalization |
| 11/8 |
5.4 |
Eigenvectors and Linear Transformations |
| 11/9 (x-hour) |
|
x-hour proof workshop |
| 11/10 |
6.1 |
Inner Product, Length, and Orthogonality |
| 11/13 |
6.2 |
Orthogonal Sets |
| 11/15 |
6.3 |
Orthogonal Projections |
| 11/16 (x-hour) |
|
x-hour proof workshop |
| 11/17 |
6.4 |
The Gram-Schmidt Process |
| 11/20 |
|
no class |
| 11/22 |
|
no class (Thanksgiving break) |
| 11/23 (x-hour) |
|
no class (Thanksgiving break) |
| 11/24 |
|
no class (Thanksgiving break) |
| 11/27 |
7.1 |
Diagonalization of Symmetric Matrices |
| 11/29 |
|
wrap up; section 7.4 (the singular values of an m ×
n matrix, end of the invertible matrix theorem) if time
permits |
| 12/3 |
|
Final Exam, 15:00 – 18:00 (3:00 – 6:00 pm) |