Course: MAS 4306 / MAS 5312 — Intro to Abstract Algebra II
Department: Department of Mathematical Sciences
Credit Hours: 3
CRN: 11091 / 10775
Prerequisites: MAS 4304 / MAS 5311 (Intro to Abstract Algebra I)
Lecture Times: MWF 2:00 pm – 3:20 pm
Class Location: Science Building (SE-43) 215
Instructor: Zvi Rosen
Email address: rosenz@fau.edu
Office: Science Building (SE-43), Room 224
Office Hours: Wednesday 11:00 am – 12:00 pm; Thursday (Zoom) 11:00 am – 12:00 pm
Graduate Teaching Assistant: Matthew Trang
TA Email: ttrang2019@fau.edu
This course is the second semester of the abstract algebra sequence, continuing the study of groups, rings, and fields and emphasizing their interaction through modules, field extensions, and Galois theory. Building on the first semester, the focus shifts toward rings, modules, fields, and the Galois correspondence, with sustained attention to examples, counterexamples, and clear mathematical communication.
From the FAU Catalog: (MAS 4306) A continuation of Introductory Abstract Algebra I, covering rings and ideals, polynomials and factorization, vector spaces and modules, linear transformations, and classical Galois theory. (MAS 5312) Continuation of MAS 5311, including groups and homomorphisms, Sylow theorems, finite abelian groups, field theory, polynomial rings, and the fundamental theorem of Galois theory.
Most course business will be handled on the Canvas site. This is an in-person course taught in a flipped classroom format: readings and short video lectures are assigned before class, followed by brief lecture and in-class problem solving.