| Date |
Topic |
Section |
Homework
|
Due
|
| 3/26 |
Systems of Linear Equations |
1.1 |
||
| 3/28 |
Row Reduction and Echelon Forms |
1.2 |
1.2 #1, 9, 12, 22 - 24 | 4/2 |
| 3/31 |
Vector Equations; Ax = b |
1.3, 1.4 |
1.3 #11, 12, 18, 21, 22, 24, 29, 32
1.4 #5, 7, 9 |
4/2 |
| 4/2 |
Ax=b, Solution Sets of Linear
Systems |
1.4, 1.5 |
1.4 #17, 18, 29, 30, 32
1.5 #25, 29 - 32 |
4/9 |
| 4/4 |
Linear Independence |
1.7 |
1.7 #1, 5, 12, 22 - 25 |
4/9 |
| 4/7 |
Linear Transformations |
1.8 |
1.8 #2, 3, 8, 19, 25, 31, 33, 35 | 4/9 |
| 4/9 |
The Matrix of a Linear
Transformation |
1.9 |
1.9 #2, 6, 15, 19, 25, 27, 35, 36 | 4/16 |
| 4/11 |
Matrix Operations; Matrix Inverses |
2.1, 2.2 |
2.1 #4, 10 12, 22, 23 2.2 #1, 5, 9 |
4/16 |
| 4/14 |
Matrix Inverses; Invertible Matrices |
2.2, 2.3 |
2.2 #13, 21, 22, 32 | 4/16 |
| 4/16 |
Determinants |
3.1 |
3.1 #2, 10, 22, 23, 39, 40; 2.3 #6, 13, 24, 33 | 4/23 |
| 4/18 |
Properties of Determinants |
3.2 |
3.2 #9, 19, 23, 25, 28, 29, 40 | 4/23
|
| 4/21 |
Cramer's rule, etc... |
3.3 |
3.3 # 1, 3, 7, 11, 13, 19, 23 | 4/23 |
| 4/23 |
Vector Spaces and Subspaces |
4.1 |
4.1 #8, 11, 13, 20, 21, 30 - 32 | 4/30
|
| 4/24 |
Null Spaces, Column Spaces
and Linear Transformations |
4.2 |
4.2 #3, 5, 10, 16, 18, 26, 28, 30 | 4/30
|
| 4/25 |
Linearly Independent Sets; Bases |
4.3 |
4.3 #4, 5, 9, 14, 20, 22, 24 | 4/30
|
| 4/28 |
Coordinate Systems |
4.4 |
4.4 #3, 7, 10, 15, 17, 23, 24, 28 | 4/30
|
| 4/30 |
The Dimension of a Vector Space, Change of Basis |
4.5, 4.7 |
4.5 #3, 8, 10, 13, 19, 21, 23 4.7 #2, 4, 7, 13 |
5/7
|
| 5/2 |
Rank |
4.6 |
4.6 #2, 4, 8, 12, 15, 18, 27, 29 | 5/7
|
| 5/5 |
Markov Chains |
4.9 |
4.9 #3, 4, 8, 10, 14, 15, 18 | 5/7
|
| 5/7 |
Eigenvectors and
Eigenvalues |
5.1 |
5.1 #6, 8, 10, 15, 19, 21, 25, 31 | 5/14
|
| 5/9 |
The Characteristic Equation
|
5.2 |
5.2 #3, 6, 12, 13, 19, 24 | 5/14
|
| 5/12 |
Diagonalisation |
5.3 |
5.3 #6, 9, 11, 21, 23, 26 | 5/14
|
| 5/14 |
Eigenvectors and Linear
Transformations |
5.4 |
5.4 #2, 3, 6, 9, 12, 17, 20, 23 | 5/21
|
| 5/16 |
Inner Product, Length and Orthogonality |
6.1 |
6.1 #6, 7, 11, 14, 16, 19, 24, 28 | 5/21 |
| 5/19 |
Orthogonal Sets |
6.2 |
6.2 #5, 10, 21, 11, 14, 16, 27, 29 | 5/21 |
| 5/21 |
Orthogonal Projections |
6.3 |
6.3 #1,6,9,12,14,17,24 | 5/28 |
| 5/23 |
Gramm-Schmidt |
6.4 |
6.4 #1, 5, 9, 12, 13, 17, 19 | 5/28 |
| 5/28 |
Diagonalisation of Symmetric matrices |
7.1 |
7.1 # 4, 5, 11, 12, 14, 20, 23, 25, 29, 30 | 5/28 |