Repository for the Linear Algebra reading group. Some material in this
repo uses brew install mactex.
| Date | Topic | Reading |
|---|---|---|
| 6 Oct | First meeting | Axler Chapter 1.A (part A only)§ |
| 13 Oct | Complex numbers; |
Exercises 1.A |
| 20 Oct | Definition of vector space | Axler, 1.B |
| 27 Oct | Vector spaces | Exercises, Axler 1.B |
| 3 Nov | Subspaces | Axler, 1.C (discussion w/o James) |
| 10 Nov | Subspaces (and direct sums) | Exercises, Axler 1.C |
| 17 Nov | Linear independence | Axler 2.A (discussion) |
| 2024 | ||
| 19 Jan | Dimension | Exercises, Axler 2.C |
| 26 Jan | Linear maps! | Axler, 3.A (discussion) |
| 2 Feb | Linear maps | Exercises, Axler 3.A |
| 9 Feb | Kernels and ranges | Axler, 3.B (discussion) |
| 16 Feb | Kernels and ranges | Exercises, Axler 3.B |
| 22 March | Isomorphisms and inverses | Axler, 3.D (discussion) |
| 29 March | --- Bank holiday --- | |
| 5 April | Isomorphisms and inverses | Exercises, Axler 3.D |
| 12 April | More isomorphisms | |
| 19 April | Quotient spaces | Axler, 3.E (discussion) |
| 26 April | Quotient spaces | Exercises from Axler 3.E |
| ... | ... | ... |
| 28 June | Duals | Exercises, Axler 3.F |
Overall plan:
- Follow Axler (by subchapter) until we feel comfortable moving to applications, then move between books.
- Use Slack channel for collaborative working between meetings.
- Go over exercises and points of confusion together in meetings, as people want, in the shared Overleaf.
- Very different backgrounds and interests in this group
- Want everyone to be comfortable: rather be too slow than too fast.
- We should only use the maths and terminology we know so far.
- We don't expect to learn new maths in the session -- it's a chance to try out what we've read.
- Meta-goal is to learn how to “speak maths,” and to explain maths to others, without feeling overwhelmed.
- Overleaf, for writing in the sessions: See the Slack channel bookmarks.