**DEPARTMENT OF MATHEMATICS**

** 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.