MATH 355
Abstract Algebra Spring 2025 (also offered Fall 2024)
Division III Quantitative/Formal Reasoning

Class Details

Algebra gives us tools to solve equations. The integers, the rationals, and the real numbers have special properties which make algebra work according to the circumstances. In this course, we generalize algebraic processes and the sets upon which they operate in order to better understand, theoretically, when equations can and cannot be solved. We define and study abstract algebraic structures such as groups, rings, and fields, as well as the concepts of factor group, quotient ring, homomorphism, isomorphism, and various types of field extensions. This course introduces students to abstract rigorous mathematics.
The Class: Format: lecture
Limit: 30
Expected: 20
Class#: 3546
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: Problem sets and exams
Prerequisites: MATH 250 or permission of instructor
Enrollment Preferences: Students who have officially declared a major that requires Math 355.
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: 300-level math course

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