Math 110 Syllabus
| Week of | Mon | Wed | Fri | Topics |
| 8/25 | §1.1, §1.2 | §1.2 | Complex numbers, definition of a vector space | |
| 9/01 | Holiday | §1.3 | §1.4 | Properties of vector spaces, subspaces |
| 9/08 | §2.1 | §2.2 | §2.2 | Spans and linear independence, bases |
| 9/15 | §2.3 | §3.1 | §3.2 | Dimension, Linear maps, kernels and images |
| 9/22 | §3.3 | §3.4 | §4.1 | Matrix of a linear map. Invertibility. Polynomials |
| 9/29 | §4.1 | §5.1 | Midterm | Polynomials. Invariant subspaces |
| 10/06 | §5.2 | §5.3 | §5.4 | Polynomials applied to operators, Upper triangular matrices, Diagonal matrices, Invariant subspaces of real vector spaces |
| 10/13 | §6.1 | §6.2 | §6.2 | Inner product spaces, Norms, orthogonality |
| 10/20 | §6.3 | §6.4 | §6.5 | Norm, orthogonal bases, orthogonal projection and minimization. Functionals and adjoints. |
| 10/27 | §7.1 | §7.2 | §7.2 | Self adjoint and normal operators. Spectral theorem |
| 11/03 | §7.3 | §7.4 | §7.5 | Normal operators on real spaces, Positive operators, Isometries |
| 11/10 | §7.6 | §8.1 | §8.2 | Polar and singular decomposition, Generalized eigenvectors, Characteristic polynomial, Primary decomposition |
| 11/17 | Midterm | §8.3 | §8.4 | Square roots, Miinimal polynomial |
| 11/24 | §8.5 | §8.5 | Holiday | Jordan form |
| 12/01 | §10.1 | §10.2 | §10.3, §10.4 | Change of basis, Trace, Determinants of operators and matrices |
| 12/08 | §10.4 | §10.5 | Determinants of matrices, Volumes |
The above schedule is just a rough guide and subject to change as the course progresses.