Theoretical / proof-based
Graduate algebra · Graduate · Math
Topics
Groups and modules
- Review of groups, homomorphisms, and quotient groups
- Sylow theorems and solvable groups
- Modules over rings; free and projective modules
- Structure theorem for modules over PIDs (as covered)
Rings and fields
- Rings, ideals, and quotient rings
- Polynomial rings and factorization
- Field extensions and algebraic closures
- Galois theory: fundamental theorem and applications
Commutative and homological intro
- Noetherian rings and primary decomposition (introduction)
- Tensor products of modules
- Ext and Tor (overview, if in syllabus)
Problem sets
- Research-level algebra problem sets
- Qualifying-exam style proof practice by topic area
Pricing calculator
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$1,162 · Graduate algebra · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle or Venmo.