| Week | Date | Section
|
| 1 | W Aug 28 | 1.1. Systems of linear equations
|
| F Aug 30 | 1.2. Row reduction and echelon forms
|
| 2 | M Sep 2 | Labor Day
|
| W Sep 4 | 1.3. Vector equations
|
| F Sep 6 | 1.4. The matrix equation Ax=b
|
| 3 | M Sep 9 | 1.5. Solution sets of linear systems
|
| W Sep 11 | 1.7. Linear independence
|
| F Sep 13 | 1.8. Introduction to linear transformations
|
| 4 | M Sep 16 | 1.9. The matrix of a linear transformation
|
| W Sep 18 | 2.1. Matrix operations
|
| F Sep 20 | 2.2. Inverse of a matrix
|
| 5 | M Sep 23 | 2.3. Characterizations of invertible matrices
|
| W Sep 25 | 3.1. Introduction to determinants
|
| F Sep 27 | 3.2. Properties of determinants
|
| 6 | M Sep 30 | Review
|
| T Oct 1 | First prelim exam
|
| W Oct 2 | 3.3. Determinants as area or volume; linear
transformations
|
| | (skip subsections on Cramer's rule and formula for
A-1)
|
| F Oct 4 | 4.1. Vector spaces and subspaces
|
| 7 | M Oct 7 | 4.2. Null spaces, column spaces, and linear
transformations
|
| W Oct 9 | 4.3. Linearly independent sets; bases
|
| F Oct 11 | 4.4. Coordinate systems
|
| 8 | M 14 Oct–T 15 Oct Fall
Break
|
| W Oct 16 | 4.5. The dimension of a vector space
|
| F Oct 18 | 4.6. Rank
|
| 9 | M Oct 21 | 5.1. Eigenvectors and eigenvalues
|
| W Oct 23 | 5.2. The characteristic equation
|
| F Oct 25 | 5.3. Diagonalization
|
| 10 | M Oct 28 | 5.4. Eigenvectors and linear transformations
|
| W Oct 30 | Appendix B. Complex numbers
|
| F Nov 1 | 5.5. Complex eigenvalues
|
| 11 | M Nov 4 | Review
|
| T Nov 5 | Second prelim
exam
|
| W Nov 6 | 5.6. Discrete dynamical systems
|
| F Nov 8 | 5.7. Applications to differential equations
|
| 12 | M Nov 11 | 6.1. Inner product, length, and orthogonality
|
| W Nov 13 | 6.2. Orthogonal sets
|
| F Nov 15 | 6.3. Orthogonal projections
|
| 13 | M Nov 18 | 6.4. The Gram-Schmidt process
|
| W Nov 20 | 6.5. Least-squares problems
|
| | (skip subsection on alternative calculations)
|
| | 6.6. Least-squares lines (skip other subsections)
|
| F 22 Nov | 6.7. Inner product spaces
|
| 14 | M Nov 25 | 7.1. Diagonalization of symmetric matrices
|
| W Nov 27 | Surprise topic (not in book and not on
exam)
|
| F Nov 29 | Thanksgiving Break
|
| 15 | M Dec 2 | 7.2. Quadratic forms
|
| W Dec 4 | 7.4. The singular value decomposition
|
| | (skip subsection on applications)
|
| F Dec 6 | Review
|
| TBA | Final exam
|
