MATH-UA 343 Algebra

4 points. Fall and Spring terms. 

Course Description

Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, homomorphisms and quotient groups. Rings and quotient rings, Euclidean rings, polynomial rings. Fields, finite extensions.

Prerequisites

Students must earn grades of C or higher in the following two prerequisite courses:

  1. MATH-UA 123 Calculus III or MATH-UA 129 Honors Calculus III or MATH-UA 133 Math for Economics III
  2. MATH-UA 140 Linear Algebra or MATH-UA 148 Honors Linear Algebra

Note: It is strongly recommended, but not required, that students complete MATH-UA 325 Analysis before registering for MATH-UA 343 Algebra. 

Anti-requisite

  • MATH-UA 348 Honors Algebra I

Course Syllabi or Websites by Semester