| Date | Topic | Read | Links |
| 2007.01.09 | Vector Spaces | §1.2-3 | email assignment |
| 2007.01.10 | Subspaces | §1.4 | |
| 2007.01.12 | Direct Sums | §1.5 | problem set #1 |
| 2007.01.16 | Span & Linear Independence | §2.1 | solutions #1 |
| 2007.01.17 | Bases & Dimension | §2.2-3 | |
| 2007.01.19 | Linear Maps | §3.1 | problem set #2 |
| 2007.01.23 | Kernel & Image | §3.2 | solutions #2 |
| 2007.01.24 | Invertibility | §3.4 | |
| 2007.01.26 | Matrices | §3.3 | problem set #3 |
| 2007.01.30 | Polynomials | §4.1-3 | solutions #3 |
| 2007.01.31 | Invariant Subspaces | §5.1 | |
| 2007.02.02 | Upper Triangular Matrices | §5.3 | problem set #4 |
| 2007.02.06 | Diagonal Matrices | §5.4 | solutions #4 |
| 2007.02.07 | More Invariant Subspaces | §5.5 | |
| 2007.02.09 | Inner Products | §6.1 | problem set #5 |
| 2007.02.13 | Norms | §6.2 | solutions #5 |
| 2007.02.14 | Orthonormal Bases | §6.3 | |
| 2007.02.14 | Test | ||
| 2007.02.16 | Orthogonal Projections | §6.4 | problem set #6 |
| Reading week | |||
| 2007.02.27 | Dual Spaces | §6.5 | solutions #6 |
| 2007.02.28 | Adjoints | §6.5 | |
| 2007.03.02 | Self-Adjoint and Normal Operators | §7.1 | problem set #7 |
| 2007.03.06 | Spectral Theorem | §7.2 | solutions #7 |
| 2007.03.07 | More Normal Operators | §7.3 | |
| 2007.03.09 | Positive Operators | §7.4 | problem set #8 |
| 2007.03.13 | Isometries | §7.5 | solutions #8 |
| 2007.03.14 | Polar Decomposition | §7.6 | |
| 2007.03.16 | Singular-Value Decomposition | §7.6 | problem set #9 |
| 2007.03.20 | Generalized Eigenvalues | §8.1 | solutions #9 |
| 2007.03.21 | Characteristic Polynomials | §8.2 | |
| 2007.03.23 | Decomposition of an Operator | §8.3 | problem set #10 |
| 2007.03.27 | Square Roots | §8.4 | solutions #10 |
| 2007.03.28 | Minimal Polynomials | §8.5 | |
| 2007.03.30 | Jordan Form | §8.6 | problem set #11 |
| 2007.04.03 | More Jordan Form | §8.6 | solutions #11 |
| 2007.04.04 | Review | jordan | problem set #12 |
| 2007.04.06 | Good Friday | solutions #12 | |
| 2007.04.13 | Exam (19:00; GDS Third Floor) |