Linear Algebra (winter lectures)
| Date | Topic | Read & Do | Links |
|---|---|---|---|
| 2022.01.11 | Vector spaces | §6.1:1,9,15 | |
| 2022.01.13 | Function spaces | §6.1:29,35,43 | notes 13 |
| 2022.01.14 | Linear subspaces | §6.2:1,9,13 | problems 13 |
| 2022.01.18 | Spanning and independence | §6.2:17,19,25 | |
| 2022.01.20 | Dimension | §6.2:35,37,41 | notes 14 |
| 2022.01.21 | Recognizing bases | §6.2:43,49,53 | problems 14 |
| 2022.01.25 | Coordinate vectors | §6.2:27,29,33 | |
| 2022.01.27 | Linear transformations | §6.4:7,17,25 | notes 15 |
| 2022.01.28 | Kernels & images | §6.5:3,13,27 | problems 15 |
| 2022.02.01 | Invertible linear maps | §6.5:17,31,37 | |
| 2022.02.03 | Test 3 | notes 16 | |
| 2022.02.04 | Invertible operators | §6.6:7,13,17 | problems 16 |
| 2022.02.08 | Change of basis | §6.3:11,13,15 | |
| 2022.02.10 | Matrix of a linear map | §6.6:27,33,35 | notes 17 |
| 2022.02.11 | Similar matrices | §4.4:1,3,35 | problems 17 |
| 2022.02.15 | Eigenvalues | §4.3:9,15,21 | |
| 2022.02.17 | Characteristic polynomials | §4.4:23,34,41 | notes 18 |
| 2022.02.18 | Triangularization | §4.5:47,49,51 | problems 18 |
| Winter break | |||
| 2022.03.01 | Eigenbasis | §4.4:11,27,45 | |
| 2022.03.03 | Eigenspaces | §4.4:13,37,43 | notes 19 |
| 2022.03.04 | Diagonalizablility | §4.4:39,49,51 | problems 19 |
| 2022.03.08 | Inner products | §7.1:5,9,11 | |
| 2022.03.10 | Test 4 | notes 20 | |
| 2022.03.11 | Norms | §7.1:17,27,39 | problems 20 |
| 2022.03.15 | Orthonormalization | §5.3:3,7,11 | |
| 2022.03.17 | Projections | §5.3:13,15,17 | notes 21 |
| 2022.03.18 | Approximate solutions | §5.2:3,7,11 | problems 21 |
| 2022.03.22 | Least-squares | §7.3:1,11,19 | |
| 2022.03.24 | Adjoint operators | §7.5:3,5,15 | notes 22 |
| 2022.03.25 | Isometries | §5.2:9,13,19 | problems 22 |
| 2022.03.29 | Spectral theorem | §5.2:17,21,29 | |
| 2022.03.31 | Self-adjoint operators | §5.4:5,19,25 | notes 23 |
| 2022.04.01 | Positive-semidefinite operators | §5.4:9,15,23 | problems 23 |
| 2022.04.05 | Polar decomposition | §5.5:27,39,53 | |
| 2022.04.07 | Singular value decomposition | §7.4:7,9,29 | notes 24 |
| 2022.04.08 | Review | problems 24 | |
| 2022.04.21 | Extra tutorial | 201 Jeffery Hall at 14:00 EDT | |
| 2022.04.22 | Extra tutorial | 201 Jeffery Hall at 14:00 EDT | |
| 2022.04.24 | Exam 2 | 14:00–17:00 | Grant Hall |