**DEPARTMENT OF MATHEMATICS**

** Abstract Algebra I Syllabus (Spring 2023)**

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**Professor: **Yoonjin Lee

**Office: ** Science Complex Building B, 313

**Prerequisite: **Linear Algebra, 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:**

Throughout Abstract Algebra I we study comprehensive
concepts of **Groups** and basic notions of **Rings**
assuming students have the basic knowledge of linear algebra.

**Course Outline:**

Chapter 1. Groups and Subgroups

Chapter 2. Permutations, Cosets, and Direct Products

Chapter 3. Homomorphisms and Factor Groups

Chapter 4. Rings and Fields

Chapter 5. Ideals and Factor Rings

Some adjustments may be applied.

**Grading Scheme:**

HW Assignments: 10 %

Quizzes: 10 %

Midterm Exam: 35 %

Final Exam: 40%

Attendance (class and TA session): 5 %

**Schedule of Exams:**

Midterm Exam: **April 17, 2023** (Mon.)

Final Exam: **June 19, 2020** (Mon.)

**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.

* *Attendance of class and TA session* is very important to complete the course.

* 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.