Class Progession:

1. Introduction
2. Proofs, basic set theory
3. Fields I
4. More fields + injections/bijections/surjections
5. Vector spaces and their subspaces
6. Linear combination, spans
7. Stinitz exchange lemma, dimension
8. Exam 1 (Practice Exam)
9. Linear Transformations
10. Rank Nullity
11. Duals part I
12. Duals part II
13. Eigenvalues and eigenvectors I
14. Eigenvalues and eigenvectors II
15. Generalized eigenstuff
16. Review session
17. Exam 2 (Practice Exam)
18. Tensor products
19. Inner product spaces
20. Iwasawa decomposition and Gram-Schmidt
21. Riesz representation theorem and conjugates
22. The spectral theorem

Homework Sets:

1. Problem Set 1 - Sept 2
2. Problem Set 2 - Sept 10
3. Problem Set 3 - Sept 17
4. Problem Set 4 - Sept 30
5. Problem Set 5 - Oct 6
6. Problem Set 7 - Oct 14
7. Problem Set 8 - Oct 20
8. Problem Set 9 - Nov 10
9. Problem Set 10 - Nov 18