WClasses

PMATH 348 - Fields and Galois Theory

Unique factorization domains, Gauss's lemma, and Eisenstein's criterion. Fields, algebraic and transcendental extensions, minimal polynomials, splitting fields, and the structure of finite fields. Galois theory. Solvable groups and the insolvability of the quintic.

Prerequisites

PMATH347

Corequisites

None

Antirequisites

None

Offerings

Winter 2026 [1261]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001605882 / 8208:30 - 09:20 M,W,F

Spring 2025 [1255]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001405822 / 8008:30 - 09:20 M,W,F

Winter 2025 [1251]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001615081 / 8208:30 - 09:20 M,W,F

Spring 2024 [1245]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001411218 / 8009:30 - 10:20 M,W,F

Winter 2024 [1241]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001618560 / 6008:30 - 09:20 M,W,F

Spring 2023 [1235]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001428317 / 6509:30 - 10:20 M,W,F

Winter 2023 [1231]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001634949 / 6011:30 - 12:20 M,W,FDWE 3516Wentang Kuo

Fall 2022 [1229]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001110551 / 1

Spring 2022 [1225]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001504714 / 6508:30 - 09:20 M,W,FPHY 313Stephen New

Winter 2022 [1221]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001625748 / 6008:30 - 09:20 M,W,FDWE 3516Yu-Ru Liu

Winter 2021 [1211]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 041630884 / 90 Yu-Ru Liu

Winter 2020 [1201]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001616052 / 6008:30 - 09:20 M,W,FMC 2017Yu-Ru Liu

Winter 2019 [1191]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001605055 / 6015:30 - 16:20 M,W,FMC 2035Blake Madill

Winter 2018 [1181]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001611850 / 6014:30 - 15:20 M,W,FMC 4058Yu-Ru Liu

Winter 2017 [1171]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001586152 / 6012:30 - 13:20 M,W,FMC 4060Blake Madill

Winter 2016 [1161]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001642636 / 6011:30 - 12:20 M,W,FMC 4060Yu-Ru Liu

Winter 2015 [1151]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001624520 / 6009:30 - 10:20 T,W,FB2 350Frank A Zorzitto

Winter 2014 [1141]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001732337 / 4612:30 - 13:20 M,W,FMC 4064Ross D Willard

UW Flow Ratings

Liked: 95.92%

95.92%

Easy: 52.34%

52.34%

Useful: 78.91 %

78.91%

PMATH 348 leads to

PMATH 441 - Algebraic Number Theory

PMATH 446 - Introduction to Commutative Algebra

PMATH 464 - Introduction to Algebraic Geometry

PMATH 646 - Introduction to Commutative Algebra

CO 485 - The Mathematics of Public-Key Cryptography