Math 351 (Abstract Algebra)

Prof. Weibel

Fall 1998

This course is an introduction to abstract algebraic systems, including groups, rings and fields.

Prerequisite: Linear Algebra (Math 250)
Text: Abstract Algebra (3rd ed.), by I.N. Herstein, Prentice Hall, 1996

  • Lectures MW4 SEC-217
  • Workshop M5 SEC-216
    (note: the first Workshop is September 14!)
  • Tentative Course Syllabus

    WeekLecture datesSectionstopics
    1 9/2 (Wednesday) 1.1-1.3mappings
    29/9 (Wednesday) 1.4, 3.1, 1.5 permutations and "Z"
    3 9/14-16 (first Workshop 9/14) 1.6, 1.7, 2.1 "C", examples of groups
    4 9/21-23 2.2-2.4subgroups
    5 9/28-30 2.5, 2.6quotient groups
    6 10/5-7 up to 2.6review and Exam 1
    7 10/12-14 2.7, 2.8quotient groups
    8 10/19-21 2.10, 2.11 Abelian groups, Sylow's Theorem
    9 10/26-283.2, 3.3 odd and even permutations
    10 11/2-4 4.1, 4.2examples of rings
    11 11/9-114.3, 4.4Ideals
    12 11/16-18 up to 4.4review and Exam 2
    13 11/23 (no class 11/25) 4.5 polynomial rings
    14 11/30,12/2 4.6, 5.1, 5.2 examples of fields
    15 12/7-9 5.3, 5.4field extensions
    16 12/10 (Thursday but "Monday") up to 5.4 review of fields
    17 12/15 (Tuesday) 12-3 PMFinal Exam

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    Charles Weibel / weibel@math.rutgers.edu / July 4, 1998