Rings and Fields
Mathematics · 3 hrs Lecture
Offered: Winter Only, Every Year
One shot a year. Offered winter term only, so a clash costs a full year.
MATH-4202 prerequisites
5 courses appear in this chain, up to 4 levels deep. 2 are needed whichever route you take: MATH-1401 → MATH-3202
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Where MATH-4202 counts
Counts toward 2 more as one option among several, not as a course you must take:
Read from the departments' own calendar pages, where 71 of 141 programs are only partly machine-readable, so treat these as a minimum rather than the full list. Confirm with an academic advisor.
Description
This course is a study of field axioms, finite and infinite fields, integral domains, fraction fields, division rings, abstract rings, polynomial rings, PID's and UFD's, Galois Theory; solvability of cubic and quartic, unsolvability of the quintic and other classical mathematical problems.
Requisite courses
MATH-3202 [prerequisite(s)].
Restrictions
Students may not hold credit for this course and MATH-3201 | MATH-4201.
From the 2026-27 undergraduate calendar. Always verify details on WebAdvisor or with an academic advisor before registering.