Mathematics 4712,
6712 Abstract Algebra I, II (3 credit hours each) 
Teacher: 
Dr. Caldwell, office 429 Holt Humanities, phone 7336. Department office 7360. Email: caldwell@utm.edu.  
This course and the course text are intentionally difficult. Mathematics 4612, 4712 and 4812 are the capstone courses for our undergraduate major and are important transition courses for those students continuing on to graduate school. Plan to work hard, and in return, to mature mathematically. Suggestions: (1) Do the homework! (2) Study with a friend (make a new friend if necessary). (3) Use other text books as references. (4) Stay ahead of the class in the text (we will move through it sequentially, skipping some of the optional sections but we will not "hop around"). (5) Come by my office (make appointments as necessary). I want you to succeed and will gladly help you. (6) Do the homework! To help you learn (and to motivate you to keep up) we will try to do a lot of board work (student proofs in class on the board).  
Discrete Mathematics (Math 314) and Linear Algebra (Math 310)  
Equivalence relations and partitions. Properties of the integers. Elementary theory of groups, rings; polynomial rings, integral domains,.divisibility, unique factorization domains, fields, vector spaces and linear transformations. Students are required to submit written work and make an oral presentation.  
The course grade will be a weighted average
of the homework, tests, final, boardwork and, for the 6712 students,
a research project.
BRIBES (of the student, the teacher is unbribable): 

Homework will be assigned and collected daily (at the beginning of the following class period). No late homework will be accepted. Much of the homework will be from the text, but we will augment the text wherever necessary. If you will miss a day, ask ahead of time what the homework will be.  
Objectives: 


Contemporary Abstract Algebra, by Joseph A. Gallian, Sixth Edition, published by HoughtonMifflin 