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. |