Section 2 Course Information
Subsection 2.1 Course Description
Fundamental set concepts, groups, rings, integral domains, fields, polynomials.
Subsection 2.2 Course Prerequisites
A grade of C or better in MATH 3073 (Previously MATH 307) or MATH 3113 (Previously MATH 311).
Subsection 2.3 Student Learning Outcomes
The primary goal of this course is to gain familiarity with basic algebraic structures (groups, rings, and fields) and how they interact with one another (actions, homomorphisms, etc.). An equally important goal of this course is to improve students’ ability to read and write mathematical proofs.
Subsection 2.4 Course Topics
This course can be divided into two parts. In the first, we cover the definitions and examples of groups, subgroups, quotient groups, homomorphisms, and important theorems about the structure of certain groups. In the second, we encounter basic definitions and examples of rings, subrings, ideals, quotients of rings, domains, fields, homomorphisms, and other topics as time permits.
Subsection 2.5 Instructional Methods
This course is offered as a face-to-face course. Learning will be facilitated through traditional lecture, group work/activities, homework, and in-class assessments.
