COURSE SYLLABUS Course Number: MATH 6320 Course Title: INTRODUCTION TO ABSTRACT ALGEBRA II Credit Hours: 3 Prerequisites: MATH 6310 Corequisite: Objectives: To introduce students to the theory of rings and fields and to further develop their ability to think logically and to prove theorems. Course Content: Rings: Definitions and Elementary Properties [3 days] Ideals and Homomorphisms [2 days] Quotient Rings, Prime and Maximal Ideals [3 days] Rings of Polynomials [2 days] Factoring Polynomials [2 days] Substitution in Polynomials [3 days] Extensions of Fields [3 days] Vector Spaces [3 days] Degrees of Field Extensions [3 days] Ruler and Compass Constructions [2 days] Galois Correspondence [6 days] Solving Equations by Radicals [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.