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Abstract Algebra - Graduate Course
Syllabus
Course Content
1. Groups
Day 1
Day 2
2. Subgroups and quotient groups
Day 3
Day 4
HW Set 1
Comments on HW set 1
3. Group morphisms and group actions
Day 5
Day 6
4. Cauchy and Sylow Theorems
Day 7
Day 8
5. Abelian groups and semi-direct products
Day 9
Day 10
6. Rings
Day 11
Day 12
7. Euclidean and principal ideal domains
8. Polynomial rings and unique factorization
9. Additional topics in ring theory
10. Vector spaces
11. Duality
12. Determinants
13. The spectral theorem
14. Additional topics in linear algebra
Author Home Page
UConn Math Department
Course Content
13. The spectral theorem