Courses: Abstract Algebra I (MATHB303002)
Class Number: 3060
This course is the first semester of a yearlong course in abstract algebra on groups, rings, and fields and their homomorphisms. Quotient groups, quotient rings, and the isomorphism theorems. Standard examples including symmetric groups, free groups, and finitely generated abelian groups; integral domains, PIDs and UFDs, and polynomial rings; finite and infinite fields. Sylow theory and field extensions. Additional topics may include: Galois theory, modules and canonical forms of matrices, algebraic closures, and localization. Prerequisite: MATH 203.
Div: II, Approach: Quantitative Methods Haverford: Natural Science (NA)
Fulfills: Class Nbr: 3060 Div: II; QM; NA
Bryn Mawr, PK336