Intro to Abstract Algebra II · Spring 2024
MAS 4306 / MAS 5312
Course Information
- CourseMAS 4306 / MAS 5312 — Intro to Abstract Algebra II
- DepartmentDepartment of Mathematical Sciences
- Credit Hours3
- CRN11091 / 10775
- PrerequisitesMAS 4304 / MAS 5311 (Intro to Abstract Algebra I)
Meetings
- Lecture TimesMWF 2:00 pm – 3:20 pm
- LocationScience Building (SE-43) 215
Instructor
- InstructorZvi Rosen
- Emailrosenz@fau.edu
- OfficeScience Building (SE-43), Room 224
- Office HoursWednesday 11:00 am – 12:00 pm; Thursday (Zoom) 11:00 am – 12:00 pm
- Graduate TAMatthew Trang
Description
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.