MAT3233

Modern Algebra

MAT3233. Modern Algebra. (3-0) 3 Credit Hours.

Prerequisite: MAT3013. Topics will include the development of groups, integral domains, fields, and number systems, including the complex numbers. Divisibility, congruences, primes, perfect numbers, and some other problems of number theory will be considered. Generally offered: Fall, Spring, Summer. Differential Tuition: $150.

Date	Sections	Topics	Prerequisite Skills	Student learning outcomes
Example	Chapter 1	Preliminaries	Example	Example
Example	Chapter 2	The Integers	Example	Example
Example	Chapter 3	Groups	Example	Example
Example	Chapter 4	Cyclic Groups	Example	Example
Example	Chapter 5	Permutation Groups	Example	Example
Example	Chapter 6	Cosets and Lagrange’s Theorem	Example	Example
Example	Chapter 9	Isomorphisms	Example	Example
Example	Chapter 10	Normal Subgroups and Factor Groups	Example	Example
Example	Chapter 11	Homomorphisms	Example	Example
Example	Chapter 13	The Structure of Groups	Example	Example
Example	Chapter 16	Rings	Example	Example
Example	Chapter 17	Polynomials	Example	Example
Example	Chapter 18	Integral Domains	Example	Example