Courses: Abstract Algebra I (MATHB303001)
Class Number: 1327
A first course in abstract algebra, including an introduction to groups, rings and fields, and their homomorphisms. Topics covered: cyclic and dihedral groups, the symmetric and alternating groups, direct products and finitely generated abelian groups, cosets, Lagrange's Theorem, normal subgroups and quotient groups, isomorphism theorems, integral domains, polynomial rings, ideals, quotient rings, prime and maximal ideals. Possible additional topics include group actions and the Sylow Theorems, free abelian groups, free groups, PIDs and UFDs. Prerequisite: MATH 203. Some students also find it helpful to have taken a transitional course such as MATH 206 before enrolling in this course.
Div: II; Approach: Quantitative Methods (QM); Haverford: Natural Science (NA)
Enrollment Limit: 25; Enrollment Criteria: Major/Minor/Concentration;
Fulfills: Class Nbr: 1327 Div: II; QM;
Bryn Mawr, PK336