MATH-UA 348 Honors Algebra I
4 points. Fall term only.
Course Description
Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, group actions, homomorphisms and quotient groups, direct products, classification of finitely generated abelian groups, Sylow theorems. Rings, ideals and quotient rings, Euclidean rings, polynomial rings, unique factorization.
Prerequisites
Students must earn grades of A- or higher in the following two prerequisite courses:
- MATH-UA 123 Calculus III or MATH-UA 133 Math for Economics III
- Alternative: MATH-UA 129 Honors Calculus III with a grade of B+ or higher
- MATH-UA 140 Linear Algebra
- Alternative: MATH-UA 148 Honors Linear Algebra with a grade of B+ or higher
Notes: It is strongly recommended, but not required, that students complete MATH-UA 325 Analysis or MATH-UA 328 Honors Analysis I before registering for MATH-UA 348 Honors Algebra I.
Anti-requisite
- MATH-UA 343 Algebra