MATH 3140-002 (Abstract Algebra 1)
- MATH 3140-002, Fall 2020
- Instructor: Dr Green
- Venue: MWF 11.30am, MAIN 150
- 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
- A first course in abstract algebra, 7th ed (John B. Fraleigh)
- 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. We will cover up to Section
27, plus Section 34, with the exception of Sections 12, 16, 17, 24, 25.
- Your grade will be computed from:
- Homework: 15% of final grade (based on the best 10 of 14 assignments);
- Two midterms, worth 25% of final grade each;
- A final worth 30% of final grade;
- Class conduct: 5% of final grade.
- Students will obtain the full 5% for class conduct by default. Points
may be deducted for repeated unexcused absences.
- Due to the uncertainty of the current situation, it may be necessary to
change the way the course is assessed after it has started, including
changing the weightings of the components of the course.
- When determining your letter grade, I will take into account
(a) your attendance and punctuality, (b) the effort you put into the course
and (c) your improvement during the course.
- To get a good grade in this course, you should do the following:
- Don't cheat on the homework (see below).
- Turn up to class, and do so on time. If you stop coming to class,
you will probably fail the course.
- Ask for help if you need it.
- All tests will be open book exams. You will be allowed to use calculators,
formula sheets, notes, and books. You will not be allowed to use other people
or the internet as resources. You must show all steps in your work.
- The first midterm is an open book exam, which will be assigned
on Friday October 9 and due on
Friday October 16 at the beginning of class, via Canvas.
You may download it from the Canvas site, or from here.
- The second midterm will be an open book exam, which will be
assigned on approximately Wednesday October 28.
You may download it from the Canvas site, or from here.
- The final will be an open book exam, which will be due on
Sunday, December 13, 2020 at 4pm, which is the end of the
officially designated examination time.
- The first midterm may be something like this.
- The second midterm may be something like this.
- The final may be something like this.
- 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 remote, homework should be submitted via Canvas at
Collaborating with other students on the homework, or referring to the
partial answers in the textbook is acceptable. However,
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 midterms 2 and 3, and failing the
- 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.
- Missed Exams
- If you know that you are going to miss an exam at the scheduled time,
please notify your instructor at least two classes in advance.
If you miss one (and only one) 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 position in the class on the
other two midterms.
You may not reschedule an 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 acceptable
for this purpose only if you think you may have COVID-19.
- 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, and at least a week in advance.
- 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.
- 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 policies
on classroom behavior and the Student Code of Conduct.
- Please, no open yawning or sleeping in class! If you are
having a problem with some aspect of the course, you should discuss it with
me in a civil manner. Outbursts directed at the
instructor or grader for this course will not be tolerated.
- 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.
- 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
a Daily Health Form.
- 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 and complete
the Health Questionnaire and Illness Reporting Form remotely.
- Statement on Discrimination and Harassment
- 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 firstname.lastname@example.org.
Information about the OIEC, university policies, anonymous reporting,
and the campus resources can be found on the OIEC website.
- 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 (email@example.com);
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.
- Assignment 1 (assigned Mon 24 Aug, due Mon 31 Aug)
- Section 1: 25, 26, 31, 32, 35, 36, 37
- Section 2: 1, 5, 6, 7, 8, 24
- Assignment 2 (assigned Mon 31 Aug, due Wed 9 Sep)
- Section 3: 2, 3, 11, 12
- Section 4: 1, 2, 8, 11, 12, 13, 14, 19, 25
- Assignment 3 (assigned Wed 9 Sep, due Mon 14 Sep)
- Section 5: 9, 10, 11, 12, 22, 23, 39, 44
- Section 6: 5, 6, 9, 10, 17, 18, 20, 21, 32
- Assignment 4 (assigned Mon 14 Sep, due Mon 21 Sep)
- Section 7: 1, 2, 7, 8, 10
- Section 8: 1, 2, 6, 9, 20, 32, 33, 34
- Assignment 5 (assigned Mon 21 Sep, Mon 28 Sep)
- Section 9: 1, 2, 7, 8, 10, 11, 23, 24
- Assignment 6 (assigned Fri 25 Sep, due Fri 2 Oct)
- Section 10: 1, 2, 6, 7, 12, 15, 19
- Section 11: 1, 2, 14, 20, 23, 24, 46
- Assignment 7 (assigned Fri 2 Oct, due Fri 9 Oct)
- Section 13: 2, 3, 4, 5, 6, 8, 12, 13, 17, 18, 25, 26, 32
- Assignment 8 (assigned Fri 9 Oct, due Mon 19 Oct, via Canvas)
- Section 14: 5, 6, 11, 12, 23
- Section 15: 1, 2, 3, 6, 13, 19, 22, 23, 30, 31
- Assignment 9 (assigned Mon 19 Oct, due Mon 26 Oct)
- Section 18: 4, 5, 11, 12, 13, 15, 17, 18, 23, 33 [give lots of detail for 11 and 12]
- Assignment 10 (assigned Mon 26 Oct, due Mon 2 Nov)
- Section 19: 2, 3, 11, 14, 15, 16, 17, 18, 23
- Assignment 11 (assigned Mon 2 Nov, due Mon 9 Nov)
- Section 20: 2, 4, 5, 8, 10, 13, 14, 23, 24
- Section 21: 1, 2, 4, 5 [give lots of detail for 1 and 2]
- Assignment 12 (assigned Mon 9 Nov, due Fri 20 Nov)
- Section 22: 3, 4, 8, 9, 12, 13, 16, 18, 20, 22, 23
- Section 23: 1, 2, 6, 9, 12, 14, 15, 16, 18, 19, 25
- Assignment 13 (assigned Fri 20 Nov, due Wed 25 Nov)
- Section 26: 2, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17
- Assignment 14 (assigned Wed 25 Nov, due Fri 4 Dec)
- Section 27: 5, 6, 7, 10, 11, 14, 15, 16, 18, 19
- Section 34: 1, 2, 4, 5, 7