Course Descriptions

General Information

Math 351 is one of two courses most mathematics majors may take to satisfy the algebra requirement. The other is Math 350.
Math 351 was originally part of a two-course sequence, Math 351-352. The continuation, Math 352, is no longer offered.

Catalog Description

01:640:351-352 Introduction to Abstract Algebra I, II (4,3)
Abstract algrebraic systems, including groups, rings, fields, polynomials, and some Galois theory.
Prerequisites: CALC3; 01:640:250; and a C or better in 300 or permission of department.

Textbook

For current textbook please refer to our Master Textbook List page

Topics, in approximate order

Division
Primes and unique factorization
Congruence
Modular arithmetic
Rings
Properties of rings
Isomorphisms and homomorphisms
Division in F[x]
Irreducibles and unique factorization
Roots and reducibility
Congruence in F[x]
Congruence and Ideals
Ring isomorphism theorems, prime and maximal ideals
Groups
Properties of groups
Subgroups
Group isomorphisms and homomorphisms
Symmetric and alternating groups
Lagrange’s Theorem
Conjugacy classes
Normal subgroups
Quotient groups
Center and commutator subgroups
Group isomorphism theorems
Simplicity of alternating groups
Classification of finite abelian groups

Sample Course Page

https://rutgers.instructure.com/courses/38827 

Course History

Schedule of Sections: