
ABSTRACT ALGEBRA COURSE PAGE
250342 — ABSTRACT ALGEBRA 1
Description
Course Syllabus (Second 2022/2023, pdf)
The first semester of the twopart series in modern algebra, covering basic topics in group theory: groups and subgroups, the modular integers, cyclic groups, normal subgroups, cosets and factor groups, group homomorphisms, finite abelian groups, permutation groups, the dihedral groups, and selected topics in finite groups.
Lecture Notes
From Groups To Galois (MAR 2022, pdf)
The course will cover Chapter 1 to Chapter 13.
Finite Abelian Groups (MAY 2012, pdf)
Additional notes for Chapter 10.
Online Resources
Dihedral Group (ext)
A Wikipedia page on the topic.
Sample Exams
Copies of past exams are available from the archive whose links are provided below. All problems are posted without solution and are intended for practice purposes only.
250442 — ABSTRACT ALGEBRA 2
Description
Course Syllabus (First 2022/2023, pdf)
The sequel to Math 342, covering topics in rings and fields, integral domains, ideals and factor rings, ring homomorphisms, polynomial rings, algebraic extensions, finite fields, and some applications in classical geometry.
Lecture Notes
From Groups To Galois (MAR 2022, pdf)
The course will cover Chapter 14 to Chapter 26.
Online Resources
The 17gon (ext)
How to construct it, from MathPages.
Sample Exams
Copies of past exams are available from the archive whose links are provided below. All problems are posted without solution and are intended for practice purposes only.
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This page belongs to the personal folder of Amin Witno and does not necessarily represent the philosophy and values of Philadelphia University or the Department of Basic Sciences in particular.

