MATH 452: Abstract Algerbra II
Spring 2025
Instructor: Dima Sinapova
Class Meets: Tues, Fri 12:10 - 1:20 in LSH B 110 (LIV campus)
Office: Hill 230
Office Hours:
e-mail: dima.sinapova@rutgers.edu
Text:
- Michael Artin, Algebra, Second edition
Description
This course will cover rings, fields, and Galois theory. This roughly corresponds to
Chapters 11, 12, 15, 16 in the textbook. Lecture notes may differ slightly, so it is important to attend class.
Grading
There will be two midterms (20% each) and one final (40%), and regular
homework assignments (20%). The homeworks will be posted on canvas and will be submitted through gradescope.
Exams
- Midterm 1: March 7
- Midterm 2: April 11
- Final Exam: Friday May 9, 12:00-3pm
Homework
The homeworks will be submitted through gradescope.
- Homework 1: p.354-355: 1.2, 1.3, 1.7, 1.8, 2.2, 3.2, 3.3 due Friday 1/31
- Homework 2: p.355: 3.4, 3.9, 3.12, 3.13, 4.1, 4.2, 4.4 due Friday 2/7
- Homework 3: p.356: 5.2, 5.6, 6.1, 6.8, 7.1, 7.2, 8.1 due Friday 2/14
- Homework 4: p.356: 8.2, 8.3, p. 378 1.1, 1.3, 2.1, 2.2, 2.4 due Friday 2/21
- Homework 5: p.379: 2.7, 3.1, 3.2, 3.6, M.7 p. 472 3.1, 3.2 due Wednesday 3/5
Tentative schedule of lectures.
Week 1, Jan 21, 24: Sections 11.1-11.2
Week 2, Jan 28, 31: Sections 11.3-11.5
Week 3, Feb 4, 7: Sections 11.6-11.8
Week 4, Feb 11, 14: Sections 11.9, 12.1-12.2
Week 5, Feb 18, 21: Sections 12.3
Week 6, Feb 25, 28: Sections 15.1-15.3
Week 7, March 4, 7: Review, Midterm 1.
Week 8, March 11, 14: Sections 15.4, 15.6-15.7
Week 9, March 25, 28: Sections 15.8-15.10
Week 10, April 1, 4: Sections 16.1-16.3
Week 11, April 8, 11: Review, Midterm 2
Week 12, April 15, 18: Sections 16.4-16.6
Week 13, April 15, 18: Sections 16.7-16.8
Week 14, April 22, 25: Sections 16.9-16.10
Week 15, April 29, May 2: 16.10, Review