| Date |
Topics Covered |
Sections |
Homework
Problems Assigned |
Due Dates |
| 3/30 |
Vector Spaces |
1.2 |
1.2 #4b,g, 8, 12, 14, 15, 21 | 4/1 |
| 4/1 |
Subspaces |
1.3 |
1.3 #1a,b,c,d,g, 2a,d,e, 10, 11, 19, 20 (use induction), 23 | 4/4 |
| 4/4 |
Fields |
Appendix C (through Example
5) |
1.2 #16, 22; 1.3 #6, 21 | 4/6 |
| 4/6 |
Linear Combinations and Equations
|
1.4 |
1.4 #2a,c, 4c, 6, 8, 9 | 4/8 |
| 4/8 |
Linear Dependence and Independence
|
1.5 |
1.5 #2b,c, 5, 6, 9, 11 | 4/11 |
| 4/11 |
Bases and Dimension (skip Lagrange
Interpolation) |
1.6 |
1.6 #1, 2d, 3b,e, 4, 5, 7 | 4/14 |
| 4/13 |
Bases and Dimension
|
1.6 |
|
|
| 4/14, x-hour |
Bases and Dimension and QUIZ
1 (covering material up to and including 1.5)
|
1.6 |
1.6 #12, 13, 16, 20, 22, 31 and problem assigned in class | 4/15 |
| 4/15 |
Linear Transformations
|
2.1 |
2.1 #2, 3, 5 (for these three problems just show T is a linear transformation), 7, 9a,d, 10, 12 | 4/18 |
| 4/18 |
Linear Transformations
|
2.1 |
2.1 #1 - 3 (do not repeat the part done previously), 14a,c, 17, 18, 38 | 4/20 |
| 4/20 |
Matrix Representation of a
Linear Transformation |
2.2 |
2.2 #2b, 3, 4, 5c,f, 8, 9 | 4/22 |
| 4/22 |
Composition of Linear Transformations
and Matrix Multiplication (skip Applications)
|
2.3 |
2.3 #2a, 3, 4a,b, 11 (T_0 is the zero linear transformation), 12, 18 | 4/25 |
| 4/25 |
Composition of Linear Transformations
and Matrix Multiplication (skip Applications); Invertibility
and Isomorphisms |
2.3, 2.4 |
1.3 #25 (see the second definition on p. 22), 29, 30; 2.3 #13; 2.4 #2d,e, 14, 15 (assume T is one-one on beta) | 4/27 |
| 4/27 |
Invertibility and Isomorphisms
|
2.4 |
2.4 #3c,d, 4 - 6, 16 - 18, 20 | 4/29 |
| 4/28, x-hour |
Invertibility and Isomorphisms
and QUIZ 2 (covering material from 1.6 to 2.3)
|
2.4 |
|
|
| 4/29 |
Change of Coordinate Matrix |
2.5 |
2.5 #1, 2c, 3c, 4, 5, 8 - 11 | 5/2 |
| 5/2 |
Elementary Operations and Elementary
Matrices |
3.1 |
3.1 #1, 2, 3c, 6 - 9 | 5/4 |
| 5/4 |
The Rank and Inverse of a Matrix |
3.2 |
3.1 #4; 3.2 #2a,c,f, 4a,b, 8, 11 | 5/6 |
| 5/6 |
The Rank and Inverse of a Matrix |
3.2 |
3.2 #1, 5a,h, 6c,d, 15, 17 | 5/9 |
| 5/9 |
Systems of Linear Equations - Theory (skip
An Application) |
3.3 |
3.3 #2d,g, 3d,g, 4(1b & 2b), 7a,d, 8b, 10 | 5/11 |
| 5/11 |
Systems of Linear Equations - Computation
(up to middle p. 193) |
3.4 |
3.4 #2a,b,f, 4a, 5, 7, 9 | 5/13 |
| 5/12, x-hour |
Systems of Linear Equations - Computation
(up to middle p. 193) and QUIZ 3 (covering material
from 2.4 to 3.3) |
3.4 |
|
|
| 5/13 |
Summary of Facts About Determinants |
4.4 |
4.4 #1, 2d, 3d,g, 4d,e, 5 | 5/16 |
| 5/16 |
Eigenvalues and Eigenvectors |
5.1 |
5.1 #2c, 3a,c,d, 8a,b, 9, 14 | 5/18 |
| 5/18 |
Eigenvalues and Eigenvectors; Diagonalizability
(up to and including p. 271) |
5.1, 5.2 |
5.1 #1, 4c,e, 16, 20; 5.2 #2c,g (skip the test for diagonalizability - these matrices are diagonalizable) | 5/20 |
| 5/20 |
Diagonalizability (up to and including p.
271) |
5.2 |
5.2 #1, 3c,d,e, 8, 11, 12 | 5/23 |
| 5/23 |
Inner Products and Norms |
6.1 |
6.1 #4, 5, 8, 9, 11, 13, 17 | 5/25 |
| 5/25 |
Inner Products and Norms; Application to Markov
Chains |
6.1 |
6.1 #2, 3, 10, 15a, 18, 20, problem on Markov chains given in class | 5/27 |
| 5/26, x-hour |
QUIZ 4 (covering 3.4, 4.4, 5.1 and
5.2) |
|
|
|
| 5/27 |
The Orthogonalization Process and Orthogonal
Complements |
6.2 |
|
|
| 6/1 |
The Orthogonalization Process and Orthogonal
Complements; Questions; Final Remarks |
6.2 |
|