| Class Number |
Date |
Sections in Text |
Brief Description |
| 1 |
Monday, 1/25 |
1.1 |
Introduction, Systems of Linear Equations |
| 2 |
Wednesday, 1/27 |
1.2 |
Row Reduction, Echelon Forms |
| 3 |
Friday, 1/29 |
1.3 |
Vectors, Interpreting Systems of Linear Equations in Terms of Vectors |
| 4 |
Monday, 2/1 |
1.4 |
Linear Systems as Matrix Equations |
| 5 |
Wednesday, 2/3 |
1.5 |
Homogeneous Linear Systems, Describing Solutions |
| 6 |
Friday, 2/5 |
1.7 |
Linear Independence |
| 7 |
Monday, 2/8 |
1.8 |
Matrices as Linear Transformations |
| 8 |
Wednesday, 2/10 |
1.9 |
The Matrix of a Linear Transformation |
| 9 |
Friday, 2/12 |
1.9, 2.1 |
One-to-One and Onto Linear Transformations, Matrix Operations |
| 10 |
Monday, 2/15 |
2.1, 2.2 |
Matrix Algebra |
| 11 |
Wednesday, 2/17 |
2.2 |
Inverses of Matrices |
| 12 |
Friday, 2/19 |
2.3 |
Characterizing Invertible Matrices |
| 13 |
Monday, 2/22 |
- |
First Exam |
| 14 |
Wednesday, 2/24 |
4.1 |
Vector Spaces |
| 15 |
Friday, 2/26 |
4.1 |
Properties of Vector Spaces, Subspaces |
| 16 |
Monday, 3/1 |
4.2 |
Null Space and Column Space of a Matrix, Kernel and Range of a
Linear Transformation |
| 17 |
Wednesday, 3/3 |
4.3 |
Linear Independence, Spanning Sets, Bases |
| 18 |
Friday, 3/5 |
4.4 |
Coordinates |
| 19 |
Monday, 3/8 |
4.5 |
Dimension of a Vector Space |
| 20 |
Wednesday, 3/10 |
4.6 |
Row Space, Rank of a Matrix |
| 21 |
Friday, 3/12 |
3.1, 3.2, 3.3 |
Introduction to Determinants |
| 22 |
Monday, 3/15 |
3.2, 3.3 |
Properties of Determinants |
| 23 |
Wednesday, 3/17 |
- |
Second Exam |
| 24 |
Friday, 3/19 |
3.3 |
Determinants as Scaling Factors, Cramer's Rule, Adjugates |
| - |
Monday, 3/22 |
- |
Spring Break |
| - |
Wednesday, 3/24 |
- |
Spring Break |
| - |
Friday, 3/26 |
- |
Spring Break |
| - |
Monday, 3/29 |
- |
Spring Break |
| - |
Wednesday, 3/31 |
- |
Spring Break |
| - |
Friday, 4/2 |
- |
Spring Break |
| 25 |
Monday, 4/5 |
5.1 |
Eigenvalues and Eigenvectors |
| 26 |
Wednesday, 4/7 |
5.2 |
The Characteristic Polynomial |
| 27 |
Friday, 4/9 |
5.3 |
Similarity, Diagonalization |
| 28 |
Monday, 4/12 |
5.6 |
Discrete Dynamical Systems |
| 29 |
Wednesday, 4/14 |
4.9 |
Markov Chains |
| 30 |
Friday, 4/16 |
5.4 |
Representing Linear Transformations, Similarity, Change of Basis |
| 31 |
Monday, 4/19 |
6.1 |
Inner Products, Length, and Orthogonality |
| 32 |
Wednesday, 4/21 |
6.2 |
Orthogonal Sets |
| 33 |
Friday, 4/23 |
6.3 |
Orthogonal Projections |
| 34 |
Monday, 4/26 |
6.4 |
The Gram-Schmidt Process |
| 35 |
Wednesday, 4/28 |
- |
Third Exam |
| 36 |
Friday, 4/30 |
6.5 |
Least-Squares Solutions |
| 37 |
Monday, 5/3 |
6.6 |
Linear Models |
| 38 |
Wednesday, 5/5 |
7.1 |
Symmetric Matrices |
| 39 |
Friday, 5/7 |
7.2 |
Quadratic Forms |
| 40 |
Monday, 5/10 |
- |
Absorbing Markov Chains |
| 41 |
Wednesday, 5/12 |
- |
Absorbing Markov Chains |
| 42 |
Friday, 5/14 |
- |
Review |