Spring 2022 MATH H113 001 LEC

Honors Introduction to Abstract Algebra
Schedule: 
SectionDays/TimesLocationInstructorClass
001 LECTuTh 12:30PM - 01:59PMEvans 2Alexandre Givental25005
UnitsEnrollment StatusSession
4Open2022 Spring, January 18 - May 06
Additional Information: 

Prerequisites 54 or a course with equivalent linear algebra content. 55 or an equivalent in discrete math

Description The optimistic plan is to complete by the spring recess the material of the group and ring theory standard for the honors version of Math 113, and spend April studying Galois theory of finite field extensions up to Gauss' solution of the problem about straightedge-and-compass constructibility of regular polygons and Abel's (un)solvability theorem of polynomial equations in radicals. To what extent the plan is going to be realized will partly depend on the students.    

Office 701 Evans

Office Hours TBD

Required Text  We will closely follow the yet unpublished "Lectures on Groups, Rings, and Fields" of the instructor's own writing, which will be provided online in several installments during the semester  

Recommended Reading A more standard text "Topics in Abtract Algebra" by Herstein is also recommended; it contains most of the needed material, but we will not really follow it in any detail

Grading  should be normally based on homework, quizzes, and the final, but COVID constraints may require some changes, especially concerning quizzes 

Homework Weekly

Course Webpage Math H113, Spring'22