MATH 6130 (Algebra 1)

MATH 6130, Fall 2025

Instructor: Dr Green

Venue: MWF 11.15-12.05, MATH 220

Office: MATH 313

Email: rmg [AT] colorado.edu

Office Hours: M 2.30, W 1.25, F 10.10

Text

Abstract Algebra by David S. Dummit and Richard M. Foote (third edition)

Prerequisites

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).

Grading

Homework will be worth 100 points in total and will be based on your best 10 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.

Tests

The two midterms will be held during class on Wednesday, September 24 and Wednesday, October 29, 2025.

The first midterm might look something like this.

The second midterm might look something like this.

The final examination is on Tuesday, December 9, 2025 from 1.30pm to 4pm 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

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 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.

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!

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 cureport@colorado.edu. 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 (honor@colorado.edu); 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 Fri 22 Aug, due Wed 27 Aug)

1.1: 1, 2, 6, 8, 9, 12, 18, 20, 25, 32, 36

1.2: 2, 3, 7

Assignment 2 (assigned Wed 27 Aug, due Wed 3 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 3 Sep, due Wed 10 Sep)

1.7: 3, 11, 15, 18

2.1: 1, 2, 8, 9, 10

2.2: 7, 8, 10

2.3: 1, 2, 19

Assignment 4 (assigned Wed 10 Sep, due Wed 17 Sep)

2.4: 3, 7, 14, 18

2.5: 6, 8, 15

3.1: 3, 5, 9, 11, 24, 33, 36

Assignment 5 (assigned Wed 17 Sep, due Wed 24 Sep)

3.2: 4, 5, 6, 8, 16, 17, 18, 19, 20

3.3: 3, 4, 8, 9

Assignment 6 (assigned Wed 24 Sep, due Wed 1 Oct)

3.4: 1, 2, 12

3.5: 2, 3, 6, 9, 14

4.1: 1, 2, 3

4.2: 1, 2, 7, 8

Assignment 7 (assigned Wed 1 Oct, due Fri 10 Oct)

4.3: 2, 5, 8, 13, 23

4.4: 1, 6, 7, 13

4.5: 4, 5, 22, 30, 32

4.6: 1, 2

Assignment 8 (assigned Wed 8 Oct, due Wed 15 Oct)

5.1: 1, 4, 5, 10, 11

5.2: 2, 3, 4, 6

5.3: no questions set

5.4: 1, 4, 5, 7, 14, 15

Assignment 9 (assigned Wed 15 Oct, due Wed 22 Oct)

5.5: 1, 2, 11, 12, 13

6.1: 4, 6, 7, 8, 9, 12, 13, 21, 23

Assignment 10 (assigned Wed 22 Oct, due Wed 29 Oct)

6.2: no questions set

6.3: 2, 7, 10

7.1: 1, 2, 4, 5, 6, 7, 8, 9, 11, 12