MATH 3140-001 (Abstract Algebra 1)
- MATH 3140-001, Spring 2022
- Instructor: Dr Green
- Venue: MWF 9.05am, STAD 135 (in person starting on January 24)
- Online classes and office hours: Zoom Meeting ID 977 9848 5789; see me for the password.
- Canvas site (only while the class is online):
https://cuboulder.instructure.com/courses/81749
- Office: MATH 313
- Office Hours: Monday 1.25-2.15, Wednesday 11.15-12.05, Friday 10.10-11.00, or by appointment
- Email: rmg [AT] euclid.colorado.edu
- Text
- A first course in abstract algebra, 7th ed (John B. Fraleigh)
- 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. We will cover up to Section
27, plus Section 34, with the exception of Sections 12, 16, 17, 24, 25.
- Grading
- Your grade will be computed from:
- Homework: 15% of final grade (based on the best 10 of 14 assignments);
- Two Midterms: 25% of final grade each;
- Final Exam: 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 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 in person, during class on Wednesday,
February 9 and Wednesday, March 16, 2022.
- The first midterm might be something like this.
- The second midterm might be something like this.
- The final might be something like this.
- The final examination is on Tuesday, May 3, 2022 from
1.30 to 4pm in the usual classroom.
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.
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 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.
- 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!
- Requirements for COVID-19
- As a matter of public health and safety, 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.
- CU Boulder currently requires masks in classrooms and laboratories
regardless of vaccination status. This requirement is a precaution 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.
- If you feel ill and think you might have COVID-19, if you have tested
positive for COVID-19, or if you are unvaccinated or partially vaccinated
and have been in close contact with someone who has COVID-19, you should
stay home and follow the further guidance of the Public Health Office
(contacttracing@colorado.edu). If you are fully vaccinated and have been in
close contact with someone who has COVID-19, you do not need to stay home;
rather, you should self-monitor for symptoms and follow the further guidance
of the Public Health Office (contacttracing@colorado.edu).
- 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.
- 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) at 303-492-2127 or email cureport@colorado.edu.
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 10 Jan, due Wed 19 Jan)
- Section 1: 25, 26, 31, 32, 35, 36, 37
- Section 2: 1, 5, 6, 7, 8, 24
- Assignment 2 (assigned Wed 19 Jan, due Wed 26 Jan)
- Section 3: 2, 3, 11, 12
- Section 4: 1, 2, 8, 11, 12, 13, 14, 19, 25
- Assignment 3 (assigned Wed 26 Jan, due Mon 31 Jan)
- 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 31 Jan, due Mon 7 Feb)
- Section 7: 1, 2, 7, 8, 10
- Section 8: 1, 2, 6, 9, 20, 32, 33, 34
- Assignment 5 (assigned Mon 7 Feb, due Mon 14 Feb)
- Section 9: 1, 2, 7, 8, 10, 11, 23, 24
- Assignment 6 (assigned Mon 14 Feb, due Mon 21 Feb)
- Section 10: 1, 2, 6, 7, 12, 15, 19
- Section 11: 1, 2, 14, 20, 23, 24, 46
- Assignment 7 (assigned Mon 21 Feb, due Mon 28 Feb)
- Section 13: 2, 3, 4, 5, 6, 8, 12, 13, 17, 18, 25, 26, 32
- Assignment 8 (assigned Mon 28 Feb, due Mon 7 Mar)
- Section 14: 5, 6, 11, 12, 23
- Section 15: 1, 2, 3, 6, 13, 19, 22, 23, 30, 31
- Assignment 9 (assigned Mon 7 Mar, due Mon 14 Mar)
- Section 18: 4, 5, 11, 12, 13, 15, 17, 18, 23, 33 [give lots of detail for 11 and 12]
- Assignment 10 (assigned Mon 14 Mar, due Mon 28 Mar)
- Section 19: 2, 3, 11, 14, 15, 16, 17, 18, 23
- Assignment 11 (assigned Mon 28 Mar, due Mon 4 Apr)
- 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 4 Apr, due Fri 15 Apr)
- 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 15 Apr, due Wed 20 Apr)
- Section 26: 2, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17
- Assignment 14 (assigned Wed 20 Apr, due Mon 25 Apr)
- Section 27: 5, 6, 7, 10, 11, 14, 15, 16, 18, 19
- Section 34: 1, 2, 4, 5, 7