MATHEMATICS 3321

Abstract Algebra l

Spring 2002

 

 

 

Instructor:         Dr. Cordero

                             

Office:                 425 Pickard Hall

Telephone:          817-272-5062

Office hours:       M/W 2:00-3:45 p.m. or by appointment.

E-mail:                cordero@uta.edu

                             

Textbook:      Modern Algebra-An Introduction, 4th Edition

                         By John R. Durbin

 

About the course:  Introductory Abstract Algebra consists mainly of a study of mathematical structures-specifically groups, rings, fields, and a few others. This semester we will concentrate on what is in some ways the simplest of these and in other ways the richest and most complex: the theory of groups. We start the semester by studying the most fundamental concept in abstract algebra, that is, operations. We will cover chapters one through five in the textbook.

 

        Chapter I.  Mappings and Operations

        Chapter II.  Introduction to Groups

        Chapter III.  Equivalence relations, Congruence, Divisibility

        Chapter IV.  Groups

        Chapter V.  Group Homomorphisms

 

 

 

Evaluation: Three in-class examinations, homeworks and a comprehensive final examination on the following dates (subject to change):

 

 

        Test # 1

     20%

Tuesday February 12

        Test # 2

     20%

Thursday March 14

        Test # 3

     20%

Thursday April 25

        Homeworks/Quizzes

     15%

To be announced

        Final examination

25%

Tuesday May 7, 11:00-1:30 p.m.