William Sawin

Groups, Set theory, Equivalence classes, actions

Rings, Fields, Ideals, Integral Domains, Field extensions, Algebraic vs Transcendental, Algebraic closure, Normal and Separable Extensions, Isomorphisms, Galois Theory, Quintic being unsolvable, Polynomials over different fields, Determinant, and Irreducibility. Review of Modern Algebra 1 material used throughout.

I learned a lot about the topics that were supposed to be introduced in the course and, because they are very foundational in the field of higher mathematics, I think that the course teaches a lot!

I didn't learn much new. This courses is an amalgamation of Linear Algebra, Discrete Math, Combinatorics, and Number Theory, without a greater emphasis on the large scope in which theses topics support.

I leaned how to do algebra. I think it was a very useful and enjoyable introduction.

Group theory, isomorphism, homomorphisms, permutations, elementary number theory, group actions.

Sets, Functions, Group Theory, Number Theory

For many of the reasons stated in my overall assessment. This course, much like every math course in higher education, is taught by individuals who never had to explain a math concept to someone who was not already greatly familiar with the subject.

This is a good class for Math majors as it applies Linear Algebra and other mathematical subjects while preparing students for Modern Algebra II 1 Columbia University: Arts & Sciences Fall 2022 Course: MATHGU4041_001_2022_3-INTROMODERNALGEBRAI : MATHGU4041_001_2022_3 - INTRO MODERN ALGEBRA I Instructor: William Sawin