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This syllabus is incomplete and tentative, and will be superseded by later versions as the course evolves.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 |