Text:  Michael Artin's Algebra, second edition. Prentice Hall, 2011, ISBN 0-13-241377-9.
 

Office Hours: I will be in my office 240 Hill Center on Busch Campus at 10am-12noon on Wednesdays. These times may change, in which case the new times will be announced on my home page. Other good times to talk are right before or right after the class. It is also possible to ask questions by email. Emails will be generally answered within 24 hours, often sooner. The more detailed your email question is, the more detailed the reply message will be. My email is borisov at math dot you know what.
 

Homework and quizzes: Suggested homework problems are listed in the schedule of lectures below. Homework will not be mandatory but you are encouraged to complete it. I will be happy to answer homework-related questions anytime, but the primary way of getting homework feedback is by submitting it on Canvas site. The grader for the course, Elizabeth Ter-Saakov, will be providing you with feedback. There will be a quiz on most Fridays, which will be loosely based on the homework problems. These quizzes will be worth 10 points each. The first quiz is for practice only, to give you an idea of the grading standards. In addition, any quiz that needs to be given remotely due to pandemic or weather rules will be for practice purposes only.
 

Final exam: There will be a final exam, on Dec 20, 8am-11am in the regular lecture room. It will be worth a maximum of 200 points.
 

Other examinations: In addition to the final exam, there will be two in-class midterm exams on Friday, October 4 and on Friday, November 8. They will be worth a maximum of 100 points each.
 

Missed exam/quiz policy: There are no makeups for missed midterm exams or quizzes, regardless of the reason for absence. However, if you can not attend a midterm due to a valid reason, for example a medical emergency, the rest of your scores will be scaled to compensate for the missed test. The same policy applies to the quizzes. If you have missed or are about to miss a midterm or quiz, you should contact me by phone or email (preferred) as soon as possible.
 

Miscellaneous: Books, notes and calculators are not allowed during the quizzes and exams.
 

Grading: The grades will be given according to total points accumulated over the course of the semester. The precise grading scale/curve is to be determined.
 

Academic integrity: All students in the course are expected to be familiar with and abide by the academic integrity policy which can be found here . Violations of the policy are taken very seriously.
 

Disability Services: phone: (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 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. Students with disabilities requesting accommodations should present a Letter of Accommodations to the instructor as early in the term as possible. See here for details.
 

Student wellness services: Counseling, ADAP & Psychiatric Services (CAPS), phone: (848)932-7884, 17 Senior Street, New Brunswick, NJ 08901. CAPS is a University mental health support service that includes counseling, alcohol and other drug assistance, and psychiatric services staffed by a team of professionals 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) phone: (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.
 

Please try to read the relevant textbook sections before the lecture. Be warned that my lectures may differ from the book in emphasis and structure. You are responsible for both lecture and book material unless otherwise stated in class. However, lecture material is deemed more important.
 
Sep. 3. 2.1 Homework p.69: 1.1, 1.2, 1.3. Additional problems:
1.4 Is the composition law on the set of real numbers x@y = squareroot(x^2+y^2) associative? Commutative? Has identity?
1.5 What are the conditions that integer numbers A,B,C need to satisfy so that the composition law on the set of integers x@y = Ax+By+C has an identity element?

Sep. 6. 2.2 quiz Homework p.69-70: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6

Sep. 10. 2.3-2.4 Homework p.70-71: 3.1, 4.1, 4.2, 4.4, 4.7, 4.10, 4.11

Sep. 13. 2.5-2.6 quiz Homework p.71-72: 5.1, 5.2, 5.4, 6.1, 6.2, 6.3, 6.7

Sep. 17. 2.7-2.8 Homework p.72-73: 7.1, 7.3, 7.5, 8.1, 8.4, 8.5, 8.10

Sep. 20. 2.9-2.10 quiz Homework p.73-74: 9.1, 9.2, 10.1, 10.2, 10.3, 10.4, 10.5

Sep. 24. 2.11 Homework p.74: 11.1, 11.2, 11.3, 11.4, 11.5, 11.9

Sep. 27. 2.12 quiz Homework p.74-75: 12.1, 12.2, 12.3, 12.4, 12.5

Oct. 1. review

Oct. 4. Midterm Exam 1

Oct. 8. 6.1-6.4 Homework p.188: 3.2, 3.3, 3.5, 4.1, 4.2, 4.3

Oct. 11. 6.7-6.8 quiz Homework p.190: 7.1, 7.2, 7.3, 7.9, 8.1, 8.2, 8.4

Oct. 15. 6.9-6.10 Homework p.191-192: 9.1, 9.2, 9.3, 9.4, 10.1, 10.2, 10.3

Oct. 18. 7.1-7.2 quiz Homework p.221-222: 1.1, 1.2, 2.1, 2.2, 2.3, 2.9, 2.13, 2.14, 2.17

Oct. 22. 7.3-7.4 Homework p.222: 3.2, 3.3, 3.4, 4.1, 4.2, 4.5, 4.7, 4.9

Oct. 25. 7.5-7.6. quiz Homework p.223: 5.4, 5.7, 5.11, 6.1, 6.3, 6.4, 6.5, 6.6

Oct. 29. 7.7 Homework p.224: 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.9, 7.10

Nov. 1. Using Sylow's theorems. Classification of finite abelian groups. quiz Homework p.224-225: 8.4, 8.5, 8.6; p.227: M.5, M.9; p.439: 7.5

Nov. 5. review

Nov. 8. Midterm Exam 2

Nov. 12. 10.1-10.2 Homework p.314: 1.1, 1.2, 2.1, 2.2, 2.3, 3.5

Nov. 15. 10.4 quiz Homework p.315: 4.1, 4.2, 4.3, 4.4, 4.6, 4.7

Nov. 19. 10.5 Homework p.315: 5.1, 5.2, 5.4, 5.5, 5.6, 5.7

Nov. 22. 10.6 quiz Homework p.318: 6.1, 6.2, 6.3, 6.4, 6.5

Nov. 27. 10.7 quiz Homework p.319: 7.1, 7.2, 7.3, 7.4, 7.5

Dec. 3. 10.8 Homework p.320: M.3, M.4, M.5, M.7, M.13

Dec. 6. 10.9 quiz Homework p.320: TBA

Dec. 10. review

Dec. 20. 8am-11am, Final Examination