MATH 4576 — Rings and Fields
4 semester hoursUndergraduateLectureusually offered: springtypical days: FBostonTraditional
Introduces commutative rings, ideals, integral domains, fields, and the theory of extension fields. Topics include Gaussian integers, Galois groups, and the fundamental theorem of Galois theory. Applications include the impossibility of angle-trisection and the general insolvability of fifth- and higher-degree polynomials. Other topics are covered as time permits.
Prerequisites
- MATH 3175 (min D-)
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Spring 2024 | 1 | 3 | 19 | 16% | 16.0 |
| Spring 2025 | 1 | 2 | 19 | 11% | 17.0 |
Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.
Meeting times
Share of recent sections by weekday: M 40% · T 0% · W 0% · Th 40% · F 60%
Common patterns: F (60% of sections), MR (40% of sections) — in patterns, R means Thursday
Professors
Spring
- Jonathan Esole (100% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Unlocks
Courses that list MATH 4576 in their prerequisites.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app