Math 211: Modern Algebra II

(Graduate algebra, 2nd semester)

Spring 2025


Instructor:

 Sam Hopkins (call me "Sam")
Office: Annex III (Graduate School) - #220
E-mail: sam.hopkins@howard.edu

Classes:

 Mon-Wed, 11:10am-12:30pm
Annex III (Graduate School) - #224

Office hours:

 Tue 12-1pm (or by appointment)
Annex III (Graduate School) - #220

Course content:

 This is a continuation of the first semester of graduate modern algebra. We will start by studying the theory of fields and their extensions, i.e., “Galois theory.” Then we may cover other topics.

Prerequisites:

 Math 210 (Modern Algebra I)
Click here for the course webpage for the 1st semester.

Main text:

 T.W. Hungerford, Algebra.
Contact me if you need help accessing the book.

Other nice sources:

 D.S. Dummit and R.M. Foote, Abstract Algebra.
M. Macauley, Visual Algebra.

Syllabus:

 Click here for the class syllabus.

Class notes:

 Batch 1; [More to be posted]
(Change "_bw.pdf" to "_gray.pdf" for grayscale versions.)

Grading:

 The grading for the course is based on Homeworks, a Midterm Exam, and the Final Project. The grading scheme is:
  • Homeworks = 50% of grade
  • Midterm exam = 25% of grade
  • Final project = 25% of grade
There will be 5 homework assignments. There will be one in-class midterm exam before spring break. The final project, at the end of the semester, will involve independent research and a presentation. Collaboration is allowed on the homeworks, not on the other assessments.
Grades will be posted to the Canvas site. I may consider other factors, like class participation, when determining final letter grades, especially in borderline cases.

HWs / exams:

 Due 1/29: Homework #1
[More to be posted]