MATH 3140-001 (Abstract Algebra 1)

MATH 3140-001, Fall 2024
Instructor: Dr Green
Venue: MWF 11.15-12.05, ECCR 108
Office: MATH 313
Office Hours: M 2.30, W 1.25, F 10.10
Email: rmg [AT] euclid.colorado.edu
Text
A first course in abstract algebra, 8th ed (John B. Fraleigh and Neal E. Brand)
Prerequisites
MATH 2001 and MATH 2135 (or 2130, 3130, or 3135)
Course Contents
Studies the elementary theory of groups, rings, fields, polynomials, group and ring homomorphisms, and isomorphisms.
Grading
Your grade will be computed from:
Students will obtain the full 5% for class conduct by default. Points may be deducted for repeatedly being late, repeatedly leaving early, sleeping or excessive yawning in class, very poor class attendance, or obnoxious behavior.
In this class, an overall score of 90% or more gets an A; 80% or more gets at least a B; 70% or more gets at least a C; and 60% or more gets at least a D. You may receive a more generous grade than this, but bear in mind that plus and minus grades are not associated with particular numerical ranges. Plus grades are rarely used, and the grade of D+ is almost never used.
Tests
The two midterms will be held during class on Wednesday, September 25 and Wednesday, October 30, 2024.
The final examination is on Sunday, December 15, 2024 from 1.30 to 4pm in the usual classroom. (Check that this agrees with your other sources of information!)
The first midterm may be something like this. (Ignore 3 (iii), 4(v) and the second half of 3(i).)
The second midterm may be something like this.
The final may be something like this.
Homework
Homework is due at the beginning of class. Some, but not all of the problems will be graded. Justify all your answers. You should assume that late work will not be graded.
Collaborating with other students on the homework, or referring to the answers in the textbook to the odd-numbered problems is acceptable. However, copying your homework answers from sites such as Chegg, Course Hero, Slader, etc., is cheating. The solutions on these sites are sometimes wrong in very specific ways, and this can reveal when a student is copying from them. Furthermore, if you copy from these sites, you will learn very little. This is likely to lead to you being unable to pass midterm 2 and the final, and failing the course.
Students With Disabilities
If you qualify for accommodations because of a disability, please submit your accommodation letter from Disability Services to your faculty member in a timely manner so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities in the academic environment. Information on requesting accommodations is located on the Disability Services website. Contact Disability Services at dsinfo@colorado.edu for further assistance. If you have a temporary medical condition, see Temporary Medical Conditions on the Disability Services website.
Missed Exams
If you know that you are going to miss an exam or cannot take the final exam at the scheduled time, please notify your instructor at least two weeks in advance. If you miss a midterm exam for any acceptable reason (e.g. religious obligation, illness), that midterm exam score will be replaced by an estimated score based on your performance on the other midterm. If you miss both exams for acceptable reasons, your midterm scores will be replaced by estimated scores based on your performance on the final. If you miss the final exam and have not rescheduled it in advance, you will score zero on the final or receive an incomplete in the course, depending on the circumstances. You may not reschedule a final after the final has started.
Classroom Behavior
Both students and faculty are responsible for maintaining an appropriate learning environment in all instructional settings, whether in person, remote or online. Those who fail to adhere to such behavioral standards may be subject to discipline. Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with race, color, national origin, sex, pregnancy, age, disability, creed, religion, sexual orientation, gender identity, gender expression, veteran status, political affiliation or political philosophy. For more information, see the policies on classroom behavior and the Student Conduct & Conflict Resolution policies.
Please, no open yawning or sleeping in class!
Honor Code
All students enrolled in a University of Colorado Boulder course are responsible for knowing and adhering to the Honor Code academic integrity policy. Violations of the Honor Code may include, but are not limited to: plagiarism, cheating, fabrication, lying, bribery, threat, unauthorized access to academic materials, clicker fraud, submitting the same or similar work in more than one course without permission from all course instructors involved, and aiding academic dishonesty. All incidents of academic misconduct may be reported to the Honor Code (honor@colorado.edu). Students found responsible for violating the academic integrity policy will be subject to nonacademic sanctions from the Honor Code as well as academic sanctions from the faculty member. Additional information regarding the Honor Code academic integrity policy can be found on the Honor Code website.
Sexual Misconduct, Discrimination, Harassment and/or Related Retaliation
CU Boulder is committed to fostering an inclusive and welcoming learning, working, and living environment. The university will not tolerate acts of sexual misconduct (harassment, exploitation, and assault), intimate partner violence (dating or domestic violence), stalking, or protected-class discrimination or harassment by or against members of our community. Individuals who believe they have been subject to misconduct or retaliatory actions for reporting a concern should contact the Office of Institutional Equity and Compliance (OIEC). Information about university policies, reporting options, and the support resources can be found on the OIEC website.
Please know that faculty and graduate instructors have a responsibility to inform OIEC when they are made aware of incidents of sexual misconduct, dating and domestic violence, stalking, discrimination, harassment and/or related retaliation, to ensure that individuals impacted receive information about their rights, support resources, and reporting options. To learn more about reporting and support options for a variety of concerns, visit Don't Ignore It.
Religious Holidays
Campus policy regarding religious observances requires that faculty make every effort to deal reasonably and fairly with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, you should inform your professor of any conflict as soon as possible.
In the case of conflicts with exams, if you do not inform your instructor of the conflict at least two classes in advance of the exam, you must provide documentary evidence of the religious obligation.
See the campus policy regarding religious observances for full details.

Homework assignments

Assignment 1 (assigned Mon 26 Aug, due Wed 4 Sep)
Section 1: 2, 3, 4, 5, 6, 8, 9, 28
Section 2: 1, 2, 5, 6, 11, 12, 19
Assignment 2 (assigned Wed 4 Sep, due Wed 11 Sep)
Section 3: 23, 24, 33, 34, 37. 38
Section 4: 1, 2, 13, 15, 16, 18, 27, 28
Assignment 3 (assigned Wed 11 Sep, due Mon 16 Sep)
Section 5: 2, 3, 5, 6, 9, 10, 11, 12, 13, 23, 24, 39, 50
Assignment 4 (assigned Mon 16 Sep, due Mon 23 Sep)
Section 6: 9, 10, 17, 18, 19, 20, 42, 43
Section 7: 2, 3, 4, 5, 11, 12
Assignment 5 (assigned Mon 23 Sep, due Mon 30 Sep)
Section 8: 3, 4, 9, 10, 11, 12, 17, 18, 23, 24
Assignment 6 (assigned Mon 30 Sep, due Mon 7 Oct)
Section 9: 1, 2, 5, 6, 13, 14, 16, 17, 18, 24, 25, 32
Assignment 7 (assigned Mon 7 Oct, due Mon 14 Oct)
Section 10: 3, 4, 6, 7, 9, 10, 13, 14, 15, 16
Section 12: 1, 2, 7, 8
Assignment 8 (assigned Mon 14 Oct, due Mon 21 Oct)
Section 12: 11, 12, 21, 23 (except c, e, f), 42
Section 13: 3, 4, 15, 16, 21, 24, 25, 32, 33
Assignment 9 (assigned Mon 21 Oct, due Mon 28 Oct)
Section 22: 4, 5, 11, 12, 13, 15, 17, 18, 23, 24 [give lots of detail for 11 and 12, where appropriate]
Assignment 10 (assigned Mon 28 Oct, due Mon 4 Nov)
Section 23: 2, 11, 12, 15, 16, 20, 23, 24, 29
Assignment 11 (assigned Mon 4 Nov, due Mon 11 Nov)
Section 24: 2, 3, 4, 5, 10, 13, 14
Section 26: 1, 2, 5 [give lots of detail for 1 and 2]
Assignment 12 (assigned Mon 11 Nov, due Mon 18 Nov)
Section 27: 3, 4, 9, 10, 12, 13, 16, 20, 22, 23
Section 28: 1, 2, 5, 6, 9, 10
Assignment 13 (assigned Mon 18 Nov, due Mon 2 Dec)
Section 28: 14, 15, 16, 18, 19, 25
Section 30: 2, 4, 8, 10, 12, 13, 14, 15, 17
Assignment 14 (assigned Mon 2 Dec, due Mon 9 Dec)
Section 31: 5, 6, 7, 8, 14, 15, 16, 17, 18, 19, 26
Section 16: 3, 4, 5, 6