Abstract Algebra II syllabus  (Fall 2023)

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Professor: Yoonjin Lee

Prerequisite: Linear Algebra, Abstract Algebra I, Number Theory (optional)

Text: A FIRST COURSE IN ABSTRACT ALGEBRA by John B. Fraleigh (Seventh Edition, Addison Wesley).

References:
Abstract Algebra by T.W. Hungerford (Springer)
Abstract Algebra by D.S. Dummit and R.M. Foote (Wiley)

Course Description:
Based on the study of groups and rings in Abstract Algebra I, throughout Abstract Algebra II we study comprehensive concepts of Fields and Galois Theory.

Course Outline:
Chapter 5. Ideals and Factor Rings
Chapter 6. Extension Fields
Chapter 7. Advanced Group Theory
Chapter 10. Automorphisms and Galois Theory
Chapter 9. Factorizations
Some other topics may also be included.

Grading Scheme :
HW Assignment: 10%
Quiz: 10%
Test 1: 35%
Test 2: 40%
Attendance (class, TA session) and Attitudes: 5%

*Grading policy: Combination of Absolute scheme and Relative scheme

Schedule of Exams:
Test 1 on October 16 (Mon.), 2023
Test 2 on December 18 (Mon.), 2023

Make-up classes due to holidays:
Video-recorded class on October 2 (Mon.), 2023
Video-recorded class on October 9 (Mon.), 2023

Grades and policy:
*  You will be evaluated throughout the whole semester by means of one midterm, a comprehensive final exam, two quizzes and weekly homeworks.
*  Make-up quizzes and exams will NOT be given. NO late homework will be accepted.

Class expectations:
Students are expected to attend all the lectures. You have to spend enough time for reviewing the material on a regular basis. The best way to learn the material is to spend enough time thinking about the homework problems virtually every day as our class progresses. In addition, you are encouraged to discuss the homework assignments with others, but you must write up your own solutions and turn them in individually.