Math 351, Section 01, Spring 2022, Lev Borisov

Lectures: Mondays, Wednesdays 3:50 PM - 5:10 PM, Tillett 251, Livingston campus
Workshops: Thursdays 3:50 PM - 5:10 PM, LSH-A121, Livingston campus; TA Tamar Blanks, firstname.lastname@rutgers.edu



Text:  Thomas W. Hungerford, "Abstract Algebra", third edition
ISBN-13: 9781111569624
Here is a link to a bookstore where you can buy or rent this textbook.
 

Office Hours: I will poll the students to find good times for regular office hours. It may also be possible to have office hours by appointment. You can also ask questions by email. My email is borisov@rutgers.edu.
 

Homework: Homework will be assigned but not routinely collected or graded. However, you can submit homework to our grader, Montgomery Davis (mjd452@scarletmail.rutgers.edu) for quick feedback. Collaboration on homework assignments is strongly encouraged.
 

Quizzes: There will be a one-problem 10-15 minute quiz in most workshop meetings which will be loosely based on the homework problems. These quizzes will be worth 10 points each. Any quiz that needs to be given remotely due to pandemic or weather rules will be for practice purposes only.
 

Midterm exams: We will have two midterm exams during regular class meetings, on February 16 and March 30. Each midterm will be worth a maximum of 100 points.
 

Final exam: There will be a final exam, time and location TBA. It will be worth a maximum of 200 points.
 

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 take an exam 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 an exam or a quiz, you should contact me by email 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.
 

Help: In the beginning of each class we will discuss some homework problems for the material of the last lecture. Additional help is available if you have trouble with homework or lecture material. My office hours are the first place to start.
 

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.
 

Students with disabilities: 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) is available by phone at (848)932-7884. 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. See also their website: http://health.rutgers.edu/medical-counseling-services/counseling/
 

Schedule of Lectures


 
Jan. 19 Sections 1.1-1.3;
Homework: p.14: 1(a)-(c), 3, 7, 9, 13, 15(c); p.22: 1, 5(b), 7, 15, 21, 27

Jan. 24 Sections 2.1-2.3;
Homework: p.30: 1(a,b), 7, 15, 21; p.36: 1(b), 3, 7, 9, 13; p.41: 3, 5, 9, 11, 13

Jan. 26 Sections 3.1-3.2;
Homework: p.53: 5, 7, 17, 21, 35, 43; p.66: 1, 3(b), 5, 11, 17, 25

Jan. 31 Section 3.3;
Homework: p.80: 7, 9, 11, 13(a), 27, 31

Feb. 2 Sections 4.1-4.2;
Homework: p.92: 1, 5(d), 15, 16, 21; p.99: 1, 3, 5(c), 15

Feb. 7 Sections 4.2-4.3;
Homework: p.103: 1(b), 3(a), 5, 9(a,c), 11, 13, 15, 21, 23

Feb. 9 Sections 4.4-4.6;
Homework: p.110: 1, 3(a), 7, 11; p.119: 1(a,c), 5, 9, 13; p.123: 3, 5

Feb. 14 review for the first midterm

Feb. 16 first midterm exam

Feb. 21 Sections 5.1-5.2;
Homework: p.129: 1(a), 5, 11, 13; p.134: 1, 3, 7, 11, 15

Feb. 23 Section 6.1;
Homework: p.148: 1, 3, 5, 9, 13, 17, 19, 21, 27, 29, 38

Feb. 28 Section 6.2;
Homework: p.159: 1, 3, 5, 17, 19, 23, 25, 30, 31

Mar. 2 Section 6.3;
Homework: p. 166: 1, 5, 7, 9, 15, 17, 19, 21, 25

Mar. 7 Section 5.3;
Homework: p.138: 1, 3, 5, 7, 9, 11

Mar. 9 Sections 7.1, 7.2;
Homework: p.180: 1, 5(b), 7(a), 17, 19, 21, 23, 27, 33, 35; p.201: 1, 3, 5

Mar. 21 Sections 7.2, 7.3;
Homework: p.201: 7(b), 23, 15, 31, 37; p.211: 1, 3, 7, 11, 15, 19

Mar. 23 Section 7.4;
Homework: p.223: 1, 5, 7, 9, 13, 19, 27, 31, 33, 39, 47, 61.

Mar. 28 review for the second midterm

Mar. 30 second midterm exam

Apr. 4 Section 8.1;
Homework: p.245: 1, 5, 15, 21, 23, 31, 33, 35, 39, 41

Apr. 6 Section 8.2;
Homework: p.253: 5, 7, 9, 11, 17, 19, 21, 25, 27, 29, 35

Apr. 11 Section 8.3;
Homework: p.260: 1, 9, 13, 15, 19, 25, 31, 33

Apr. 13 Section 8.4;
Homework: p.270: 1, 3, 9, 21, 23, 29, 31, 39

Apr. 18 Section 7.5;
Homework: p.233: 1, 3(d,e), 7, 11, 15, 17, 31, 37, 39

Apr. 20 Section 8.5;
Homework: p.277: 1, 2, 3, 5, 6, 7, 11

Apr. 25 Sections 9.1-9.2;
Homework: p.285: 3, 7, 13; p.297: 1, 3(a-d), 5, 6

Apr. 27 Sections 9.1-9.2 continued;
Homework: p.297: 7, 9, 11, 15, 17, 21

May 2 review