Intro to Abstract Algebra I · Fall 2023
MAS 4304 / MAS 5311
Course Information
- CourseMAS 4304 / MAS 5311 — Intro to Abstract Algebra I
- DepartmentDepartment of Mathematical Sciences
- Credit Hours3
- CRN11305 / 10759
- PrerequisitesMathematical maturity appropriate to fourth-year undergraduate or first-year graduate student status
Meetings
- Lecture TimesMWF 2:00 pm – 3:20 pm
- LocationSanson Life Sciences (SC-1) 178
Instructor
- InstructorZvi Rosen
- Emailrosenz@fau.edu
- OfficeScience Building (SE-43), Room 224
- Office HoursMonday & Wednesday 12:30–1:30 pm
- Graduate TAMatthew Trang
Description
This course introduces groups, rings, and fields, with an emphasis on the interplay among these structures that culminates in classical results such as Galois theory. In the two-semester sequence, the first semester focuses on group theory and ring theory, developing both theory and examples/counterexamples and practicing careful mathematical communication.
From the FAU Catalog: (MAS 4304) Basic structures of abstract and linear algebra, such as groups, rings and ideals, polynomials and factorization, vector spaces and modules, linear transformations, and classical Galois theory of fields. (MAS 5311) Groups, subgroups, and homomorphisms, the Sylow theorems, the structure theorem for finite abelian groups, elementary theory of fields and 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 a brief lecture and in-class problem solving.