Introduction to Abstract Algebra
Introduction to Abstract Algebra |
Course OvervieweditThe main topic of the course is to introduce students to Group Theory, including the Sylow theorem. We'll also cover the structure of abelian groups and various permutation groups. If we have time, I'll also give a brief introduction to rings and fields including polynomial rings, factorization, the classical geometric constructions, and Galois theory. Course requirementseditThe following knowledge is required or desirable on commencement of study of this course:
Course outlineeditWe're going to follow a number of different sources for ths course. Primarily, we will follow Wikibooks' Abstract Algebra textbook. A good textbook to pick up is Topics in Algebra by I.N. Herstein. Another is Abstract Algebra by W.E. Deskins.
I will not assign grades unless you ask me to. If you would like to have your work graded, your grade will be the best of weighted averages of the three exams. Lecture serieseditLecture 1 - Introduction/Set Theory AssignmentseditProblem sets will be posted here after every lecture. These problem sets are designed to prepare the student for the exams. These will not be graded. Problem Set #1 ExaminationseditThe plan is to have two 'midterm' exams and a comprehensive 'final' exam. Exam questions will be based on questions from the problem sets and the lectures. I'm debating on how to implement the exams, more information will be available soon. More than likely a link to the exam will be posted here, and you will post the answers on your user page or other page. Recommended student evaluation schemeeditnot available yet Sign Up ListeditIf you are interested in taking this course, please indicate so here. Off-site lectureseditWith videoedit
Without videoedit
Readingedit
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