Abstract Algebra I -  MATH 346

Class Meeting: Tuesday 10:00 - 12:00
                        Thursday: 12:00 - 14:00
1. University Course Catalog Description

Binary operations, groups, subgroups, normal subgroups, cyclic groups and subgroups, cosets, Lagrange’s  theorem, counting theorems,groups of permutations,quotient groups, homomorphisms, isomorphisms, homomorphism  theorems. Direct product, fundamental theorem of finite abelian groups. Classification of groups of low order.

2. Course Overview

The course aims to provide students with the specialist knowledge necessary for basic concepts in abstract algebra.

3. Course Objectives

By the end of the course, students will be able to

    - Learn basic concepts about  groups and subgroups

    - Learn about Normal subgroups

    - Learn examples of cyclic groups

    - Learn  Isomorphism theorems for groups

4. Required Texts and Materials
         Contemporary Abstract Algebra, Joseph A. Gallian,, 2009 (G.C.512.02)

   Supplementary (Optional) Texts and Materials
    Basic Algebra, Robert B. Ash, 2006

Download course syllabus as PDF