Math 416 Spring 2022

General Info

Course title and number: Abstract Algebra II MATH 416

Term: Spring 2022

Class time and location: T/Th 2:00-3:50AM NETH 243

Instructor: Nathan Green

Email: ngreen@latech.edu

Office: NETH 221

Office hours: M/W/F 11-12, 1-2 by appointment, Tuesday 3-5 walk in, Thursday 3-5 by appointment, other times by appointment if necessary.


Math416_Green_Spring_2022.pdf

Syllabus


416 Algebra II Winter 2022

Course Calendar


GraduateResearchAssignment.pdf

Graduate Research Assignment

Due the last day of class, May 19 at 11:55 pm.

Homework Assignments

Each assignment is due at 11:55 pm on Gradescope (accessed through moodle) unless otherwise specified.

Homework1Spring2022Math416.pdf


Homework2Spring2022Math416.pdf


Homework3Spring2022Math416.pdf


Homework4Spring2022Math416.pdf


Homework5Spring2022Math416.pdf


Homework6Spring2022Math416.pdf


Homework7Spring2022Math416.pdf


Homework8Spring2022Math416.pdf


Lecture Notes

Lecture notes will be posted as each section as they are completed.

Groups And Rings Review.pdf


26 Homs And Quotient Rings.pdf


27 Prime And Maximal Ideals.pdf


29 Field Extensions.pdf


30 Vector Spaces.pdf


31 Algebraic Extensions.pdf


33 Finite Fields.pdf


Error Correcting Codes.pdf


48 Automorphisms Of Fields.pdf


49 Isomorphism Extensions.pdf


50 Splitting Fields.pdf


51 Separable Extensions.pdf


53 Galois Theory.pdf


53 Galois Theory.pdf

Updated