| Class Number |
Date |
Sections in Text |
Brief Description |
| 1 |
Monday, 1/24 |
1.1 |
Introduction, Systems of Linear Equations |
| 2 |
Wednesday, 1/26 |
1.2 |
Row Reduction, Echelon Forms |
| 3 |
Friday, 1/28 |
1.3 |
Vectors, Interpreting Systems of Linear Equations in Terms of Vectors |
| 4 |
Monday, 1/31 |
1.4 |
Linear Systems as Matrix Equations, Spanning R^n |
| - |
Wednesday, 2/2 |
- |
No Class (Snow Day) |
| 5 |
Friday, 2/4 |
1.5 |
Homogeneous Linear Systems, Describing Solution Sets |
| 6 |
Monday, 2/7 |
1.7 |
Linear Independence |
| 7 |
Wednesday, 2/9 |
1.7, 1.8 |
Linear Independence, Matrices as Linear Transformations |
| 8 |
Friday, 2/11 |
1.8, 1.9 |
Linear Transformations |
| 9 |
Monday, 2/14 |
1.9 |
One-to-one and Onto Linear Transformations |
| 10 |
Wednesday, 2/16 |
2.1 |
Matrix Arithmetic |
| 11 |
Friday, 2/18 |
2.2 |
The Inverse of a Matrix |
| 12 |
Monday, 2/21 |
2.2, 2.3 |
Calculating Inverses, Characterizing Invertible Matrices |
| 13 |
Wednesday, 2/23 |
- |
First Exam |
| 14 |
Friday, 2/25 |
2.3 |
One-to-one and Onto Functions, Left and Right Inverses |
| 15 |
Monday, 2/28 |
4.1 |
Vector Spaces |
| 16 |
Wednesday, 3/2 |
4.1, 4.2 |
Subspaces, Column Space and Null Space |
| 17 |
Friday, 3/4 |
4.2, 4.3 |
Kernel and Range of a Linear Transformation, Bases |
| 18 |
Monday, 3/7 |
4.3 |
Bases |
| 19 |
Wednesday, 3/9 |
4.4 |
Coordinates |
| 20 |
Friday, 3/11 |
4.5 |
Dimension of a Vector Space |
| 21 |
Monday, 3/14 |
4.6 |
Row Space, Rank of a Matrix |
| 22 |
Wednesday, 3/16 |
4.9 |
Markov Chains |
| 23 |
Friday, 3/18 |
4.9 |
Regular Markov Chains |
| - |
Monday, 3/21 |
- |
Spring Break |
| - |
Wednesday, 3/23 |
- |
Spring Break |
| - |
Friday, 3/25 |
- |
Spring Break |
| - |
Monday, 3/28 |
- |
Spring Break |
| - |
Wednesday, 3/30 |
- |
Spring Break |
| - |
Friday, 4/1 |
- |
Spring Break |
| 24 |
Monday, 4/4 |
3.1, 3.2, 3.3 |
Determinants |
| 25 |
Wednesday, 4/6 |
- |
Second Exam |
| 26 |
Friday, 4/8 |
3.1, 3.2, 3.3 |
Determinants |
| 27 |
Monday, 4/11 |
5.1 |
Eigenvalues and Eigenvectors |
| 28 |
Wednesday, 4/13 |
5.2 |
The Characteristic Polynomial |
| 29 |
Friday, 4/15 |
5.3 |
Diagonalization |
| 30 |
Monday, 4/18 |
5.4 |
Matrix with Respect to a Basis, Similar Matrices |
| 31 |
Wednesday, 4/20 |
5.5 |
Complex Eigenvalues |
| 32 |
Friday, 4/22 |
5.6 |
Discrete Dynamical Systems |
| 33 |
Monday, 4/25 |
6.1 |
Dot Product, Orthogonal Vectors |
| 34 |
Wednesday, 4/27 |
6.2 |
Orthogonal Sets, Orthogonal Matrices |
| 35 |
Friday, 4/29 |
6.2, 6.3 |
Orthogonal Matrices, Orthogonal Projections |
| 36 |
Monday, 5/2 |
6.4 |
Gram-Schmidt |
| 37 |
Wednesday, 5/4 |
6.5, 6.6 |
Least-Squares, Fitting Lines to Data |
| 38 |
Friday, 5/6 |
- |
Third Exam |
| 39 |
Monday, 5/9 |
6.7 |
Inner Products |
| 40 |
Wednesday, 5/11 |
6.7 |
Cauchy-Schwarz Inequality, Triangle Inequality |
| 41 |
Friday, 5/13 |
6.8 |
Fourier Series, Derivatives and Linear Transformations |