Linear Algebra (fall lectures)
| Date | Topic | Read & Do | Links |
|---|---|---|---|
| 2021.09.07 | Geometry of vectors | §1.1:3,5,9 | |
| 2021.09.09 | Points and lines | §1.1:13,17,23 | notes 01 |
| 2021.09.10 | Algebra of vectors | §1.1:11,15,19 | problems 01 |
| 2021.09.14 | Complex numbers | §A.C. | |
| 2021.09.16 | Complex geometry | §A.C. | notes 02 |
| 2021.09.17 | Cross product | §1.3:1,5,11 | problems 02 |
| 2021.09.21 | Dot product | §1.2:31,37,39 | |
| 2021.09.23 | Orthogonal projections | §1.2:41,43,63 | notes 03 |
| 2021.09.24 | Hyperplanes | §1.3:7,13,27 | problems 03 |
| 2021.09.28 | Linear systems | §2.1:9,23,43 | |
| 2021.09.30 | Test 1 | notes 04 | |
| 2021.10.01 | Matrices | §2.1:25,29,37 | problems 04 |
| 2021.10.05 | Reduced row echelon form | §2.2:15,31,39 | |
| 2021.10.07 | Vector equations | §2.2:21,37,49 | notes 05 |
| 2021.10.08 | Kernels | §2.3:5,11,21 | problems 05 |
| Fall break | |||
| 2021.10.19 | Matrix arithmetic | §3.1:17,31,35 | |
| 2021.10.21 | Homogeneous systems | §2.2:23,47,51 | notes 06 |
| 2021.10.22 | Non-homogeneous systems | §2.3:19,31,43 | problems 06 |
| 2021.10.26 | Linear independence | §3.5:9,11,15 | |
| 2021.10.28 | Matrix multiplication | §3.2:5,9,15 | notes 07 |
| 2021.10.29 | Adjacency matrices | §3.7:45,49,67 | problems 07 |
| 2021.11.02 | Invertible matrices | §3.3:9,13,17 | |
| 2021.11.04 | Test 2 | notes 08 | |
| 2021.11.05 | Invertibility | §3.3:25,45,57 | problems 08 |
| 2021.11.09 | LU factorizations | §3.4:1,5,13 | |
| 2021.11.11 | Permutations | §3.4:19,21,29 | notes 09 |
| 2021.11.12 | More factorizations | §3.4:27,31,33 | problems 09 |
| 2021.11.16 | Linear subspaces | §3.5:19,27,45 | |
| 2021.11.18 | Dimension | §3.5:47,59,63 | notes 10 |
| 2021.11.19 | Coordinates | §3.5:11,41,43 | problems 10 |
| 2021.11.23 | Determinants | §4.2:1,7,11 | |
| 2021.11.25 | Properties of det | §4.2:15,27,29 | notes 11 |
| 2021.11.26 | Characterization of det | §4.2:33,35,39 | problems 11 |
| 2021.11.30 | The Cramer rule | §4.2:57,59,65 | |
| 2021.12.02 | More determinants | §4.2:51,55,69 | notes 12 |
| 2021.12.03 | Review | problems 12 | |