MATH 418

Spring 2009 All Classes

All Classes

Intro to Abstract Algebra II

Credit: 3 OR 4 hours.

Rings of quotients of an integral domain. Euclidean domains, principal ideal domains. Unique factorization in polynomial rings. Fields extensions, ruler and compass constructions. Finite fields with applications. Modules. Structure theorem for finitely generated modules over principal ideal domains. Application to finitely generated abelian groups and canonical forms of matrices. Introduction to error-correcting codes.

4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 417 or consent of instructor.

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MATH 418 class schedule data for spring 2009
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	39475	Lecture-Discussion	C13	10:00AM -10:50AM	MWF	140 Henry Administration Bldg	Mineyev, I	Part of Term: 1 Date Range: 01/20/09-05/06/09 Credit: 3 hours Section Info: Open to both undergraduate and graduate students.
	39476	Lecture-Discussion	C14	10:00AM -10:50AM	MWF	140 Henry Administration Bldg	Mineyev, I	Part of Term: 1 Date Range: 01/20/09-05/06/09 Special Approval: Instructor Approval Required Credit: 4 hours Section Info: Instructor approval forms available in 313 Altgeld Hall. Restriction(s): Not intended for Undergrad - Urbana-Champaign.