MATH 6140 (Modern Algebra II)
- MATH 6140, Spring 2007
- Instructor: Dr Green
- Venue: MWF 12, ECCR 108
- Office: MATH 313
- Email: rmg [AT] euclid.colorado.edu
- Office Hours: M 2, W 2, F 10
- Text
- Abstract Algebra by David S. Dummit and Richard M. Foote
(third edition)
- Prerequisites
- MATH 6130
- Course Contents
- Modules, vector spaces, modules over principal ideal domains, field theory,
Galois theory. This is chapters 10--14 of the book.
- 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,
February 14, and Wednesday, March 21, 2007.
- The final examination is on Monday, May 7 from 4.30pm to
7pm 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. Show
all your working.
- Students With Disabilities
- If you qualify for accommodations because of a disability, please submit a
letter to me from Disability Services in a timely manner so that your needs may
be addressed. Disability Services determines accommodations based on
documented disabilities. Contact: 303-492-8671, Willard 322, or
www.Colorado.EDU/disabilityservices
- Disability Services' letters for students with disabilities indicate
legally-mandated, reasonable accommodations.
The syllabus statements and answers to Frequently Asked Questions can be found
at
www.colorado.edu/disabilityservices
- 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, documented illness), that midterm exam score will be
replaced by your other midterm exam grade. If you miss both exams for
acceptable reasons, your course grade will be based entirely on your final
exam score. 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 reasonably and fairly deal with all students who, because of
religious obligations, have conflicts with scheduled exams, assignments or
required attendance. In this class,
if you have a religious obligation that conflicts with one of the exams,
please let your instructor know at least two weeks in advance.
See policy details at
http://www.colorado.edu/policies/fac_relig.html
- Student Classroom and Course-Related Behavior
- Students and faculty each have responsibility for maintaining an
appropriate
learning environment. Students who fail to adhere to such behavioral standards
may be subject to discipline. Faculty have the professional responsibility to
treat all students with understanding, dignity and respect, to guide classroom
discussion and to set reasonable limits on the manner in which they and their
students express opinions. Professional courtesy and sensitivity are
especially important with respect to individuals and topics dealing with
differences of race, culture, religion, politics, sexual orientation, gender,
gender variance, and nationalities. Class rosters are provided to the
instructor with
the student's legal name. I will gladly honor your request to address you by an
alternate name or gender pronoun. Please advise me of this preference early in
the semester so that I may make appropriate changes to my records.
See policies at
http://www.colorado.edu/policies/classbehavior.html
and at
http://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_code
- Please, no open yawning or sleeping in the classroom!
- Honor Code
- All students of the University of Colorado at Boulder are responsible for
knowing and adhering to the academic integrity policy of this institution.
Violations of this policy may include: cheating, plagiarism, aid of academic
dishonesty, fabrication, lying, bribery, and threatening behavior. All
incidents of academic misconduct shall be reported to the Honor Code Council
(honor@colorado.edu; 303-725-2273). Students who are found to be in violation
of the academic integrity policy will be subject to both academic sanctions
from the faculty member and non-academic sanctions (including but not limited
to university probation, suspension, or expulsion). Additional information on
the Honor Code can be found at
http://www.colorado.edu/policies/honor.html and at
http://www.colorado.edu/academics/honorcode/
- Discrimination and Sexual Harassment
- The University of Colorado at Boulder policy on Discrimination and
Harassment, the University of
Colorado policy on Sexual Harassment and the University of Colorado policy on
Amorous Relationships applies to all students, staff and faculty. Any student,
staff or faculty member who believes s/he has been the subject of
discrimination or harassment based upon race, color, national origin, sex, age,
disability, religion, sexual orientation, or veteran status should contact the
Office of Discrimination and Harassment (ODH) at 303-492-2127 or the Office of
Judicial Affairs at 303-492-5550. Information about the ODH and the campus
resources available to assist individuals regarding discrimination or
harassment can be obtained at
http://www.colorado.edu/odh.
Homework assignments
- Assignment 1 (assigned Wed 17 Jan, due Wed 24 Jan)
- 10.1: 1, 3, 4, 5, 6, 8 (a, c), 9, 15, 18, 19, 20, 21
- Graded: 10.1.1 (3), 10.1.9 (4), 10.1.15 (3)
- Assignment 2 (assigned Mon 22 Jan, due Mon 29 Jan)
- 10.2: 1, 3, 4, 9, 10
- 10.3: 1, 3, 6, 7, 8, 9, 11, 16
- Graded: 10.2.9 (4), 10.3.3 (3), 10.3.11 (3)
- Assignment 3 (assigned Mon 29 Jan, due Mon 5 Feb)
- 10.4: 3, 6, 7, 11, 12, 22
- Graded: 10.4.3 (3), 10.4.6 (3), 10.4.12 (4)
- Assignment 4 (assigned Mon 5 Feb, due Mon 12 Feb)
- 10.5: 3, 7, 10, [16], 18, 19, 20, 21, 22
- Graded: 10.5.7 (4), 10.5.18 (4), 10.5.20 (2)
- Assignment 5 (assigned Mon 12 Feb, due Wed 21 Feb)
- 11.1: 4, 5, 6
- 11.2: 9, 11, 12, 38
- 11.3: 2, 4
- 11.4: 3
- Graded: 11.1.5 (3), 11.2.12 (3), 11.3.2 (4)
- Assignment 6 (assigned Mon 19 Feb, due Mon 26 Feb)
- 11.5: 1, 3, 4, 7, 12, 13
- Graded: 11.5.4 (3), 11.5.7 (4), 11.5.13 (3)
- Assignment 7 (assigned Mon 26 Feb, due Wed 7 Mar)
- 12.1: 5 [use the result of 2(b)], 7, 9, 13, 15, 20, 21, 22
- 12.2: 1, 3, 5, 6, 11, 14, 17, 18
- Graded: 12.1.9 (3), 12.2.6 (4), 12.2.17 (3)
- Assignment 8 (assigned Mon 5 Mar, due Mon 12 Mar)
- 12.3: 1, 2, 17, 18, 20, 21, 22, 23, 24, 31, 32, 34.
- Graded: 12.3.2 (3), 12.3.21 (4), 12.3.34 (3)
- Assignment 9 (assigned Mon 12 Mar, due Mon 19 Mar)
- 13.1: 3, 5, 7
- 13.2: 3, 4, 5, 10, 12, 13, 14, 16, 19
- 13.3: 4, 5
- Graded: 13.1.7 (3), 13.2.13 (4), 13.3.5 (3)
- Assignment 10 (assigned Mon 19 Mar, due Mon 2 Apr)
- 13.4: 1, 2, 3, 4
- 13.5: 3, 6, 9
- Graded: 13.4.1 (3), 13.4.4 (4), 13.5.3 (3)
- Assignment 11 (assigned Mon 2 Apr, due Mon 9 Apr)
- 13.6: 1, 2, 3, 4
- 14.1: 2, 3, 4, 6, 7, 10
- Graded: 13.6.3 (2), 14.1.4 (3), 14.1.7 (5)
- Assignment 12 (assigned Mon 9 Apr, due Mon 16 Apr)
- 14.2: 1, 4 [over Q], 5, 8, 11, 13
- 14.3: 1, 3, 7, 8, 9, 10
- Graded: 14.2.8 (3), 14.2.13 (3), 14.3.7 (4)
- Assignment 13 (assigned Mon 16 Apr, due Mon 23 Apr)
- 14.4: 1, 3
- 14.5: 3, 4, 5, 7, 10, 12
- Graded: 14.4.3 (3), 14.5.5 (3), 14.5.12 (4)
- Assignment 14 (assigned Mon 23 Apr, due Mon 30 Apr)
- 14.6: 2 [over Q], 3, 4 [over Q], 11, 17, 49
- 14.7: 1, 5, 10