MATH 6130 (Algebra 1)

MATH 6130, Fall 2021
Instructor: Dr Green
Venue: MWF 9.10-10.00, MATH 350
Office: MATH 313
Office: Zoom Meeting ID 977 9848 5789; see me for the password.
Email: rmg [AT]
Office Hours: M 1.50, W 11.30, F 10.20
Abstract Algebra by David S. Dummit and Richard M. Foote (third edition)
MATH 3140; undergraduates need instructor consent.
Course Contents
Studies group theory and ring theory. This is chapters 1--9 of the book (except 9.6).
Homework will be worth 100 points in total and will be based on your best 10 (out of 14) homework scores. Usually, three or more of the assigned problems will be graded, and late work will ordinarily not be graded.
The two midterms will be worth 100 points each, and the final will be worth 200 points. These three examinations may be individually curved to produce an appropriate profile.
The two midterms will be held during class on Wednesday, September 22 and Wednesday, October 27, 2021.
The first midterm might look something like this.
The final examination is on Wednesday, December 15, 2021 from 7.30pm to 10pm in the usual classroom. (Check that this agrees with your other sources of information!) Bring your CU student ID to all of your tests.
Homework is due at the beginning of class. Some, but not all of the problems will be graded. Justify all your answers.
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 303-492-8671 or 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.
Religious Obligations
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, and at least a week in advance.
See the campus policy regarding religious observances for full details.
Student Classroom and Course-Related Behavior
Students and faculty each have responsibility for maintaining an appropriate learning environment. 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. CU Boulder recognizes that students' legal information doesn't always align with how they identify. Students may update their preferred names and pronouns via the student portal; those preferred names and pronouns are listed on instructors' class rosters. In the absence of such updates, the name that appears on the class roster is the student's legal name.
Please, no open yawning or sleeping in class!
Requirements for COVID-19
As a matter of public health and safety due to the pandemic, all members of the CU Boulder community and all visitors to campus must follow university, department and building requirements and all public health orders in place to reduce the risk of spreading infectious disease. Students who fail to adhere to these requirements will be asked to leave class, and students who do not leave class when asked or who refuse to comply with these requirements will be referred to Student Conduct and Conflict Resolution. For more information, see the policy on classroom behavior and the Student Code of Conduct. If you require accommodation because a disability prevents you from fulfilling these safety measures, please follow the steps in the "Accommodation for Disabilities" statement on this syllabus.
As of August 13, 2021, CU Boulder has returned to requiring masks in classrooms and laboratories regardless of vaccination status. This requirement is a temporary precaution during the delta surge to supplement CU Boulder's COVID-19 vaccine requirement. Exemptions include individuals who cannot medically tolerate a face covering, as well as those who are hearing-impaired or otherwise disabled or who are communicating with someone who is hearing-impaired or otherwise disabled and where the ability to see the mouth is essential to communication. If you qualify for a mask-related accommodation, please follow the steps in the "Accommodation for Disabilities" statement on this syllabus. In addition, vaccinated instructional faculty who are engaged in an indoor instructional activity and are separated by at least 6 feet from the nearest person are exempt from wearing masks if they so choose.
Students who have tested positive for COVID-19, have symptoms of COVID-19, or have had close contact with someone who has tested positive for or had symptoms of COVID-19 must stay home. In this class, if you are sick or quarantined, you should alert your instructor immediately.
Statement on Discrimination and Harassment
The University of Colorado Boulder (CU Boulder) is committed to fostering an inclusive and welcoming learning, working, and living environment. CU Boulder 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) at 303-492-2127 or email Information about OIEC, university policies, reporting options, and the campus resources can be found on the OIEC website.
Please know that faculty and graduate instructors have a responsibility to inform OIEC when 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.
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 (; 303-492-5550). 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.

Homework assignments

Assignment 1 (assigned Mon 23 Aug, due Mon 30 Aug)
1.1: 1, 2, 6, 8, 9, 12, 18, 20, 25, 32, 36
1.2: 2, 3, 7
Assignment 2 (assigned Mon 30 Aug, due Wed 8 Sep)
1.3: 1, 6, 13, 14
1.4: 4, 10
1.5: 1
1.6: 3, 4, 6, 8, 9, 11, 17
Assignment 3 (assigned Wed 8 Sep, due Mon 13 Sep)
1.7: 3, 12, 15, 18
2.1: 1, 2, 8, 9, 10
2.2: 1, 2, 7, 8
2.3: 1, 2, 19
Assignment 4 (assigned Mon 13 Sep, due Mon 20 Sep)
2.4: 3, 7, 12, 18
2.5: 6, 8, 10
3.1: 3, 5, 9, 11, 24, 32, 36
Assignment 5 (assigned Mon 20 Sep, due Mon 27 Sep)
3.2: 4, 5, 6, 8, 12, 16, 18, 19, 20
3.3: 3, 4, 8, 9