MATH 413 Algebraic Structures I

3 credits

3 hours per week.

This course is designed to cover the following topics: elementary theory of groups, rings, integral domains, fields and ideals. An introduction to polynomials and matrices over a field will be considered.

Prerequisite(s) MATH 215 or MATH 312  completed with a grade of “C” or hihger or Departmental permission required to register

Offered (FALL) 

MATH 414 Algebraic Structures II 

3 credits

3 hours per week.

A continuation of MATH 413. Topics drawn from Galois theory, Sylow theory, finite abelian groups, and applications.

Prerequisite(s) MATH 413 completed with a grade of “C” or higher

Offered (AS NEEDED) 

MATH 505 Abstract Algebra I

3 hours.

3 Credits

A study of groups, subgroups, homomorphisms, factor groups, products, Sylow’s Theorem, symmetric groups, free groups, ring homomorphisms, ideals, and quotient rings.

Offered (AS NEEDED) 

MATH 505 Abstract Algebra II

3 hours.

3 Credits

A study of rings, ideals, maximal ideals, integral domains, polynomial rings, field of quotient of an integral domain, fields, vector spaces, field extensions, root of polynomials, finite fields, and special topics

Prerequisite(s) MATH 505  or departmental permission

Offered (AS NEEDED)