Please read each section once before we discuss it in class.
(It will likely help to read it again later!)
| Week | Dates | Sections |
| 1 | 8/22
8/24 |
1.1-Systems of Linear Equations
1.1/1.2-Row Reduction and Echelon Forms |
| 2 | 8/29
8/31 |
1.2-Row Reduction and Echelon Forms
1.3-Vector Equations |
| 3 | 9/5
9/7 |
1.3/1.4-The Matrix Equation Ax=b
1.4-The Matrix Equation Ax=b |
| 4 | 9/12
9/14 |
1.5-Solution Sets of Linear Systems
1.5/1.6-Linear Independence |
| 5 | 9/19
9/21 |
1.6-Linear Independence
1.9-Linear Models in Business, Science, and Engineering |
| 6 | 9/26
9/28 |
1.7-Introduction to Linear Transformations
Exam 1 on Sections 1.1-1.6, 1.9 |
| 7 | 10/3
10/5 |
1.7/1.8-The Matrix of a Linear Transformation
1.8-The Matrix of a Linear Transformation |
| 8 | 10/10
10/12 |
2.1-Matrix Operations
2.2-The Inverse of a Matrix |
| 9 | 10/17
10/19 |
2.3-Characterizations of Invertible Matrices
2.9-Subspaces of R^n |
| 10 | 10/24
10/26 |
2.9-Subspaces of R^n
3.1-Introduction to Determinants |
| 11 | 10/31
11/2 |
3.2-Properties of Determinants
3.3-Cramer's Rule, Volume, and Linear Transformations |
| 12 | 11/7
11/9 |
5.1-Eigenvectors and Eigenvalues
Exam 2 on Sections 1.7, 1.8, 2.1-2.3, 3.1-3.3 |
| 13 | 11/14
11/16 |
5.1/5.2-The Characteristic Equation
5.2-The Characteristic Equation |
| 14 | 11/20-11/24 | Thanksgiving Break |
| 15 | 11/28
11/30 |
5.3-Diagonalization
5.3/6.1-Inner Product, Length, and Orthogonality |
| 16 | 12/5
12/7 |
?6.1-Inner Product, Length, and Orthogonality
?6.2-Orthogonal Sets |
If time permits, we will cover either 6.1 and 6.2 or some applications
during Closed Week.