Course Name	Modern Algebra II
Credits	3
Professor(s)	Name	Young In Kwon
	Department	Department of Mathematics Education

COURSE DESCRIPTION

Course Objectives

It is to give the following topics:

(1) The Sylow Theorems

(2) The structure of finite groups

(3) Unique factorization domains

(4) Field Extensions

(5) Galois Theory

MAIN TEXTBOOK and FURTHER READINGS

Main Textbook : Abstract Algebra an introduction, 2nd edition

Further Reading:

-박승안, 김응태,  현대대수학; 경문사

-Fohn B. Fraleigh, A first course in abstract algebra, 5th edition

ASSIGNMENTS AND GRADING

Assignments:

- Solutions of Exercises of each section

Grading Scheme:

- Attendance(10%), Mid-term Exam(30%), Final Exam(40%), Assignments(20%)

COURSE SCHEDULE

Course Outline

Week 1 : Normal subgroups

Week 2 : Quotient groups and Homomorphism

Week 3 : Finite Abelian groups

Week 4 : The Sylow theorems

Week 5 : Conjugacy and the Proof of the Sylow theorems

Week 6 : Euclidean domains

Week 7 : Principal Ideal domain

Week 8 : The field of quotients of an integral domain

Week 9 : Unique factorization in polynomial domains

Week 10 : Simple extensions

Week 11 : Algebraic extensions

Week 12 : Splitting Fields

Week 13 : Finite fields

Week 14 : Galois groups

Week 15 : Mid-term Exam and Final Exam

CONTACT DETAILS

Tel: +82 55 751 5671

e-mail: yikwon@gnu.kr