Subject
MATH - Mathematics
Description
A broad overview of the elementary theory of groups, rings and fields. Group theory: cyclic, symmetric, alternating, dihedral and classical matrix groups, cosets and Lagrange's theorem, group homomorphisms, normal subgroups, quotient groups and the isomorphism theorem. Rings and fields: the integers modulo n, polynomial rings, ring homomorphisms, ideals, quotient rings the isomorphism theorem, unique factorization domains, principal ideal domains, Euclidean domains and the construction of finite fields.
Prerequisite(s): Mathematics 271 and Mathematics 311.
Prerequisite(s): Mathematics 271 and Mathematics 311.
GFC Hours
(3-1T)
Domestic Fee Rate Group
A
International Fee Rate Group
A
Signature Learning
Research & Creative Scholarship
Courses may consist of a Lecture, Lab, Tutorial, and/or Seminar. Students will be required to register in each component that is required for the course as indicated in the schedule of classes. Practicums, internships or other experiential learning modalities are typically indicated as a Lab component.
Component
LEC
Component
TUT
Units
3
Repeat for Credit
No