Abstract Algebra
Mathematics 451 — Fall 2023

Prof. Weibel (640:451)

  • Homework: Homework problems are listed in the schedule of lectures below.
    They should be turned in on Canvas by the following Tuesday.
    I will be happy to answer homework-related questions anytime.

    Tentative Course Syllabus

    Week Lecture dates Sections HW (due Tuesdays) Suggested Problems
    1 9/5, 8 3.1-3.7 Ch.3 #2.1, 2.3, 2.4(p=5,7 only), 3.22.11,4.3
    2 9/12,15 3.5-7, 4.1-3 Ch.3 #4.8,5.2(a,b),6.1; Ch.4#1.1,1.3,2.13.6.3,4.2.3,4.3.4
    3 9/19,22 4.5-7 Ch.5 #1.2,2.3,3.2,3.3(a,b); Ch.6#3.6(a)5.1.2,5.2.3
    4 9/26,29 2.1-5 Ch.2 #2.6,4.9,6.1,6.4,7.1,8.1,8.12,9.74.5,5.1,6.3,8.4
    5 10/3,6 2.6-12 Ch.2 #8.3,8.10,9.4,10.5,11.5,12.28.4,9.1,11.1,11.6,12.4
    6 10/10,13 Review and Midtermcumulative
    7 10/17,20 7.7 (Sylow Theorems) Ch.7 #7.3, 7.5, 7.6, 7.7, 7.8, 7.9
    8 10/24,27 11.1-11.8 (Rings) Ch.11 #1.1,1.8; 2.2; 3.2,3.6,3.12; 4.1; 5.6; 6.1 #1.6, 3.3, 3.9, 5.7
    9 10/31,11/311.5-11.9 (Rings) Ch.11 #6.7, 7.1, 7.2, 8.1, 8.4, 9.1, 9.5 #7.5, 8.3, 9.2, 9.6
    10 11/7,10 14.1-14.6 (Modules) Ch.14 #1.4, 2.1,2.3, 4.1(a),4.6, 6.1, 7.1,7.2, 9.1(a) #1.2,3.4,4.5,4.7,6.2,7.5,9.3
    11 11/14,1714.7-8 (Applications) : finite abelian groups and Jordan CF 7.2, 7.4, 7.9, 8.1, 8.2, 8.6
    11+ 11/22(Fri.sched) Midtermcumulative
    12 11/28,12/112.1-3 (Integer Polynomials) Ch.12 #1.5, 2.2,2.10, 3.1,3.2, 4.1 1.3, 2.4, 2.8, 3.4, 3.6
    13 12/5,812.4-5 (Gauss Integers) Ch.12 #4.3,4.6,4.7, 5.1,5.3,5.5 4.4,4.12, 5.4,5.6,5.7
    14 12/12 Review for Final Exam
    Dec 15, 2023 Math 451 Final Exam (8:00 AM-11:00 AM in Beck 119)

    Self-Reporting Absence Website: Students are expected to attend all classes; if you expect to miss one or two classes, please use the University's absence reporting website to indicate the date and reason for your absence. An email is automatically sent to me.
    Academic integrity policy: All students in the course are expected to be familiar with and abide by the academic integrity policy. Violations of the policy are taken very seriously.
    Disabilities policy: Rutgers is fully committed to compliance with the Americans with Disabilities Act; see policies and procedures.

    Return to Top of page    Last updated: August 2023
    Return to Main Math 451 page

    Charles Weibel / Fall 2023
    The following language is required by SAS to appear on all syllabi:
    Student-Wellness Services:
    Counseling, ADAP & Psychiatric Services (CAPS) (848) 932-7884
    17 Senior Street, New Brunswick, NJ 08901/ http://health.rutgers.edu/medical-counseling-services/counseling/
    CAPS is a University mental health support service that includes counseling, alcohol and other drug assistance, and psychiatric services staffed by a team of professional within Rutgers Health services to support students’ efforts to succeed at Rutgers University. CAPS offers a variety of services that include: individual therapy, group therapy and workshops, crisis intervention, referral to specialists in the community and consultation and collaboration with campus partners.
    Violence Prevention & Victim Assistance (VPVA) (848) 932-1181 / 3 Bartlett Street, New Brunswick, NJ 08901 / www.vpva.rutgers.edu/ The Office for Violence Prevention and Victim Assistance provides confidential crisis intervention, counseling and advocacy for victims of sexual and relationship violence and stalking to students, staff and faculty. To reach staff during office hours when the university is open or to reach an advocate after hours, call 848-932-1181.
    Disability Services (848) 445-6800 / Lucy Stone Hall, Suite A145, Livingston Campus, 54 Joyce Kilmer Avenue, Piscataway, NJ 08854 / https://ods.rutgers.edu/ Rutgers University welcomes students with disabilities into all of the University's educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact the appropriate disability services office at the campus where you are officially enrolled, participate in an intake interview, and provide documentation: https://ods.rutgers.edu/students/documentation-guidelines. If the documentation supports your request for reasonable accommodations, your campus’s disability services office will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, , please complete the Registration form on the ODS web site at: https://ods.rutgers.edu/students/registration-form.
    Scarlet Listeners (732) 214-9069 / https://rutgers.campuslabs.com/engage/organization/scarletlisteners Free and confidential peer counseling and referral hotline, providing a comforting and supportive safe space. Weibel's Home Page
    Charles Weibel / weibel@math.rutgers.edu / Fall 2023