MATH 6140 (Algebra 2)
- MATH 6140, Spring 2021
- Instructor: Dr Green
- Venue: MWF 9.10, ECCR 200
- Office: MATH 313
- Office: Zoom Meeting ID 977 9848 5789; see me for the password.
- Email: rmg [AT] euclid.colorado.edu
- Office Hours: MWF 10.20-11.10, or by appointment
- Abstract Algebra by David S. Dummit and Richard M. Foote
- MATH 6130
- Course Contents
- Modules, vector spaces, modules over principal ideal domains, field theory,
Galois theory. This is chapters 10--14 of the book, except sections 10.4, 10.5
- 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.
- The two midterms are scheduled to be held during class on Friday,
February 19, and Wednesday, March 31, 2021.
- The final examination is on Saturday, May 1, 2021 from
4.30pm to 7pm in the usual classroom.
(Check that this agrees with your other sources of information!)
- The first midterm might be something like
- The second midterm might be something like
this, except that it will be (a) closed book,
(b) shorter, and (c) easier.
- The final might be something like
this, except that it will be (a) closed book,
and (b) shorter.
- 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.
When classes are online, homework should be submitted via Canvas at
- Student Classroom and Course-Related 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
University's policies on classroom behavior and the Student Code of Conduct.
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 public health orders in place to
reduce the risk of spreading infectious disease. Required safety measures at
CU Boulder relevant to the classroom setting include:
- maintain 6-foot distancing when possible,
- wear a face covering in public indoor spaces and outdoors while on campus
consistent with state and county health orders,
- clean local work area,
- practice hand hygiene,
- follow public health orders, and
- if sick and you live off campus, do not come onto campus (unless
instructed by a CU Healthcare professional), or if you live on-campus, please
alert CU Boulder Medical Services.
- 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 policies on COVID-19 Health
and Safety and classroom behavior and
the Student Code of Conduct.
If you require accommodation because a disability prevents you from
fulfilling these safety measures, please see the "Accommodation for
Disabilities" statement on this syllabus.
- Before returning to campus, all students must complete
Student Health and Expectations Course. Before coming on to campus each
day, all students are required to complete the
- 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.
- Accommodation for 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 email@example.com for further assistance. If you have a temporary medical condition, see Temporary Medical Conditions on the Disability Services website.
- Preferred Student Names and Pronouns
- 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.
- Honor Code
- All students enrolled in a University of Colorado Boulder course are
responsible for knowing and adhering to the Honor Code. Violations of the
policy may include: 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. Incidents
of academic misconduct may be reported to the Honor Code (firstname.lastname@example.org;
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
at the Honor Code Office website.
- Sexual Misconduct, Discrimination, Harassment and/or Related Retaliation
- The University of Colorado Boulder (CU Boulder) is committed to fostering a
positive and welcoming learning, working, and living environment. CU
Boulder will not tolerate acts of sexual misconduct intimate partner
abuse (including dating or domestic violence), stalking, protected-class
discrimination or harassment by 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@example.com.
Information about the OIEC, university policies, anonymous reporting,
and the campus resources can be found on the OIEC website.
- Religious Obligations
- Campus policy regarding religious observances requires that faculty
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 notify your instructor of
any conflict immediately.
- 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.
- 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 classes
If you miss a midterm exam for any acceptable reason (e.g.
religious obligation, documented 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 exam after the exam has started.
- In order to be excused from an exam for medical reasons, you must either
produce a note from a doctor, or you must obtain prior permission from the
instructor to miss the exam. Self-diagnosis and self-medication are not
acceptable for this purpose, unless you think you may have COVID-19.
- Assignment 1 (assigned Fri 15 Jan, due Mon 25 Jan)
- 10.1: 1, 3, 4, 5, 6, 8 (a, c), 9, 15, 18, 19, 20, 21
- Assignment 2 (assigned Mon 25 Jan, due Mon 1 Feb)
- 10.2: 1, 2, 4, 5, 6, 7, 9, 10, 11
- Assignment 3 (assigned Mon 1 Feb, due Mon 8 Feb)
- 10.3: 1, 3, 4, 5, 6, 7, 8, 9, 10, 11
- Assignment 4 (assigned Mon 8 Feb, due Mon 15 Feb)
- 11.1: 4, 5, 6
- 11.2: 9, 11, 12, 38
- Assignment 5 (assigned Mon 15 Feb, due Mon 22 Feb)
- 11.3: 2, 3 (except part (b)), 4
- Assignment 6 (assigned Mon 22 Feb, due Mon 1 Mar)
- 11.4: 3
- 12.1: 1, 2, 5, 6, 7, 9, 13, 15
- Assignment 7 (assigned Mon 1 Mar, due Mon 8 Mar)
- 12.2: 1, 3, 4, 5, 6, 8, 11, 17, 18
- Assignment 8 (assigned Mon 8 Mar, due Mon 15 Mar)
- 12.3: 2, 17, 18, 20, 21, 22, 23, 25, 26, 31, 32, 34
- 13.1: 3, 5, 7 [over Z]
- Assignment 9 (assigned Mon 15 Mar, due Wed 24 Mar)
- 13.2: 3, 4, 5, 10, 12, 13, 14, 16, 19
- 13.3: 4, 5
- Assignment 10 (assigned Mon 22 Mar, due Fri 2 Apr)
- 13.4: 1, 2, 3, 4
- 13.5: 3, 6, 9
- Assignment 11 (assigned Mon 29 Mar, due Wed 7 Apr)
- 13.6: 1, 2, 3, 4, 6, 9, 10
- 14.1: 2, 3, 4, 6, 7, 10
- Assignment 12 (assigned Mon 5 Apr, due Wed 14 Apr)
- 14.2: 1, 4 [over Q], 5, 8, 11, 13
- 14.3: 1, 3, 7, 8, 9, 10
- Assignment 13 (assigned Mon 12 Apr, due Wed 21 Apr)
- 14.4: 1, 3
- 14.5: 4, 5, 7, 10, 12
- Assignment 14 (assigned Mon 19 Apr, due Mon 26 Apr)
- 14.6: 2 [over Q], 3, 4 [over Q], 11, 17, 44, 46
- 14.7: 10, 12