Math 211: Linear Algebra
This syllabus is incomplete and tentative, and will be superseded by later versions as the course evolves. Details on assignments can be found on the assignments webpage.
| Week and Date |
Topic | Notes |
| 1: 1/27 |
F: 1.1-2 Solving systems of linear equations | |
| 2: 1/30-2/3 |
M: 1.3 Vector equations W: 1.4 The equation Ax=b F: 1.5 Solution sets of linear systems |
Tu: HW due F: HW due |
| 3: 2/6-2/10 |
M: 1.6 Applications W: 1.7 Linear independence F: 1.8 Linear transformations |
Tu: HW due F: HW due |
| 4: 2/13-2/17 |
M: 1.9 The matrix of a linear transformation W: 1.10 Applications F: 2.1 Matrix operations |
Tu: HW due F: HW due |
| 5: 2/20-2/24 |
M: 2.2 Matrix inverses W: 2.3 Characterizing invertible matrices F: 2.4 Partitioned matrices |
F: HW due |
| 6: 2/27-3/2 |
M: 2.6-7 Applications W: 2.8: Subspaces of Rn F: 2.9: Dimensions and rank |
Tu: HW due F: HW due |
| 7: 3/5-3/9 |
M: 3.1 Determinants W: 3.2 Properties of determinants F: 3.3: Cramer's rule and volume |
Tu: HW due F: HW due |
| 8: 3/12-3/16 |
M: 4.1 Vector spaces W: 4.1-2 Subspaces, null and column spaces F: 4.3 Linear independence, basis |
F: HW due |
| 3/19-3/23 | Spring break | |
| 9: 3/26-3/30 |
M: 4.4 Coordinate systems W: 4.5 Dimension of a vector space F: 4.6 Rank |
Tu: HW due F: HW due |
| 10: 4/2-4/6 |
M: 4.7 Change of basis W: 4.8-9 Applications F: 5.1 Eigenvectors/values |
Tu: HW due F: HW due |
| 11: 4/9-4/13 |
M: 5.2 Characteristic equations W: 5.3 Diagonalization F: 5.4 Eigenvectors and linear transformations |
Tu: HW due F: HW due |
| 12: 4/16-4/20 |
M: 5.5 Complex eigenvalues W: 5.6-7 Applications F: 6.1 Inner product, length, orthogonality |
Tu: HW due F: HW due |
| 13: 4/23-4/27 |
M: 6.2 Orthogonal sets W: 6.3 Orthogonal projections F: 6.4 Gram-Schmidt |
Tu: HW due F: HW due |
| 14: 4/30-5/2 |
M: 6.5-6 Applications W: 7.1-2 Diagonalizing symmetric matrices and quadratic forms |
W: HW due |