Math 320: Abstract Algebra (Fall 2023)
Lecture Schedule

Instructor: Christopher O'Neill
E-mail: cdoneill@sdsu.edu


Below is a list of the topics we intend to cover, along with a rough schedule.  Actual schedule is subject to change without notice.  




8/21 - 8/25
Overview of Syllabus
Review of Proofwriting


Integers and Modular Arithmetic
-------------------------------

8/28 - 9/1
The Division Algorithm (Section 1.1)
Greatest Common Divisors (Section 1.2)


9/4
Labor Day: No Classes


9/5 - 9/8
Primes and Unique Factorization (Section 1.3)


9/11 - 9/15
Modular Arithmetic (Section 2.1)


Rings
-----

*9/18 - 9/22
Rings (Sections 3.1, 2.2)


*9/25 - 9/29
Basic Properties of Rings (Sections 3.2, 2.3)


10/2 - 10/6
Arithmetic in Rings (Section 3.2)


10/9 - 10/13
Isomorphisms and Homomorphisms (Section 3.3)


10/16 - 10/20
Exam Review
Midterm Exam: Thursday, October 19


Polynomials and Quotient Rings
------------------------------

*10/23 - 10/27
Polynomial Rings and Divisibility (Sections 4.1, 4.2)


10/30 - 11/3
Irreducibles, Unique Factorization, and Roots (Sections 4.3, 4.4)


11/6 - 11/9
Congruence Classes in F[x] (Sections 5.1, 5.2)


11/10
Veteran's Day: No Classes


11/13 - 11/16
Quotient Rings (Sections 6.1, 6.2, 6.3)


11/20 - 11/22
Applications of Quotient Rings


11/23 - 11/24
Thanksgiving Break: No Classes


Groups
------

*11/27 - 12/1
Groups and Symmetries (Sections 7.1, 7.2)


*12/4 - 12/8
Review for Final Exam