COURSE SYLLABUS

Course Number: MATH 6310 
Course Title: INTRODUCTION TO ABSTRACT ALGEBRA I
Credit Hours: 3
Prerequisites: MATH3100 or analogous course subject to departmental approval.
Corequisite: 

Objectives: To introduce students to the theory of groups and to further develop their ability to think logically and to prove theorems.                                     

Course Content: 
Operations [2 days]
The Definition of Groups [1 day]
Elementary Properties of Groups [2 days]
Subgroups [2 days]
Functions [1 day]
Groups of Permutations [2 days]
Permutations of a Finite Set [2 days]
Isomorphism [2 days]
Order of Group Elements [2 days]
Cyclic Groups [2 days]
Partitions and Equivalence Relations [2 days]	
Counting Cosets [3 days]
Homomorphisms [3 days]
Quotient Groups [3 days]
The Fundamental Homomorphism Theorem [3 days]
Optional topic (e.g., classification of finite abelian groups, p-groups, Sylow Theorem, other isomorphism theorems, correspondence theorem) [3 days]  

Possible textbooks:
A Book of Abstract Algebra, Second Edition, Charles C. Pinter, 1990, McGraw-Hill.
A First Course in Abstract Algebra, Fifth Edition, John B. Fraleigh, 1994, Addison-Wesley.

Grading and Evaluation Procedures:
Quizzes, tests, midterm exam, final exam. Other methods of evaluation are used at the discretion of the instructor.

Statement related to policies on unannounced quizzes and class attendance and participation:
Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.