MATH 500

Fall 2025 Part of Term 1

Part of Term 1
Aug 25-Dec 10

Abstract Algebra I

SHOW FINAL EXAM SCHEDULE

Credit: 4 hours.

Isomorphism theorems for groups. Group actions. Composition series. Jordan-Holder theorem. Solvable and nilpotent groups. Field extensions. Algebraic and transcendental extensions. Algebraic closures. Fundamental theorem of Galois theory, and applications. Modules over commutative rings. Structure of finitely generated modules over a principal ideal domain. Applications to finite Abelian groups and matrix canonical forms.

Prerequisite: MATH 417 and MATH 418.

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MATH 500 class schedule data for fall 2025
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30815	Lecture-Discussion	C1	10:00AM -10:50AM	MWF	115 David Kinley Hall	Rezk, C	Part of Term: 1 Date Range: 08/25/25-12/10/25 Section Info: Undergraduates seeking approval to enroll should obtain permission from the Math Undergrad Director by filling out the webform located at https://forms.illinois.edu/sec/1209343045. Students from the following programs must contact the Director of Graduate Studies in Mathematics to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC Restriction(s): Restricted to Graduate - Urbana-Champaign.