| Day | Topics | Reading |
|---|---|---|
| Tu. 1/20 | Introduction to the course. Review of linear algebra from Math 254. |
. |
| Th. 1/22 | Vector spaces and subspaces. | [Ax] Secs. 1A-C |
| Tu. 1/27 | Fields and the complex numbers. Sums of subspaces, linear independence. |
[Ax] Secs. 1C, 2A-B |
| Th. 1/29 | Linear independence. Basis for a vector space, dimension. |
[Ax] Sec. 2B-C3 |
| Tu. 2/3 | Linear maps as a vector space. Null space and range. |
[Ax] Sec. 3A-B |
| Th. 2/5 | Linear maps and matrices (with respect to a basis). |
[Ax] Sec. 3C |
| Tu. 2/10 | Invertibility and isomorphism. | [Ax] Sec. 3D |
| Th. 2/12 | .Products and quotient spaces. | [Ax] Sec. 3E |
| Tu. 2/17 | . | [Ax] Sec. |
| Th. 2/19 | . | [Ax] Sec. |
| Tu. 2/24 | . | [Ax] Sec. |
| Th. 2/26 | Test 1. | [Ax] Ch 1-3 |
| Tu. 3/3 | . | [Ax] Sec. |
| Th. 3/5 | . | [Ax] Sec. |
| Tu. 3/3 | . | [Ax] Sec. |
| Th. 3/5 | . | [Ax] Sec. |
| Tu. 3/10 | . | [Ax] Sec. |
| Th. 3/12 | .. | [Ax] Sec. |
| Tu. 3/17 | . | [Ax] Sec. |
| Th. 3/19 | . | [Ax] Sec. |
| Tu. 3/24 | . | [Ax] Sec. |
| Th. 3/26 | Test 2 | [Ax] Ch 5, 8. |
| Tu. 4/7 | . | [Ax] Sec. |
| Th. 4/9 | . | [Ax] Sec. |
| Tu. 4/14 | . | [Ax] Sec. |
| Th. 4/16 | . | [Ax] Sec. |
| Tu. 4/21 | . | [Ax] Sec. |
| Th. 4/23 | . | [Ax] Sec. |
| Tu. 4/28 | . | [Ax] Sec. |
| Th. 4/30 | . | [Ax] Sec. |
| Tu. 5/5 | . | [Ax] Sec. |
| Tu. 5/122 | Final Test. | [Ax] Mainly Ch 6,7. Also Ch 1-3, 5,8 |