MATH 418

Spring 2021 All Classes

All Classes

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.

3 or 4 undergraduate hours. 3 or 4 graduate hours. 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.

MATH 418 class schedule data for spring 2021
CRN Type Section Time Day Location Instructor Section Details
38013
Online
D13
11:00AM -11:50AM
MWF
n.a.
Mineyev, I
Part of Term:
1
Date Range:
01/25/21-05/05/21
Credit:
3 hours
Section Info:
Attendance may be required at the scheduled meeting times.
Restriction(s):
Not intended for First Time Freshman students.
38011
Online
D14
11:00AM -11:50AM
MWF
n.a.
Mineyev, I
Part of Term:
1
Date Range:
01/25/21-05/05/21
Special Approval:
Instructor Approval Required
Credit:
4 hours
Section Info:
Graduate students requesting the 4 credit hour section must first register for the 3 hour section. If the instructor is willing to offer extra work to graduate students for the 4-hour section, students can follow the instructions to request a switch to the 4-credit section between the FIRST DAY of the semester and the 8th week of the semester. Instructions are available at https://go.math.illinois.edu/3to4credit
Restriction(s):
Restricted to Graduate - Urbana-Champaign.
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