MATH 6140 (Algebra 2)

MATH 6140, Spring 2011
Instructor: Dr Green
Venue: MWF 12, ECCR 110
Office: MATH 313
Email: rmg [AT] euclid.colorado.edu
Office Hours: M 11, 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, except sections 10.4, 10.5 and 11.5.
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 9, and Wednesday, March 16, 2011.
The second midterm might be something like this or this, but without Question 1.
The final might be something like this.
Here's the January 2011 prelim exam.
The final examination is on Monday, May 2 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. Justify all your answers.
Students With Disabilities
If you qualify for accommodations because of a disability, please submit to your instructor a letter 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, and www.Colorado.EDU/disabilityservices.

If you have a temporary medical condition or injury, see guidelines at www.colorado.edu/disabilityservices/go.cgi?select=temporary.html.

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, you should notify your instructor of any conflict at least two weeks in advance. See full 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. Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of race, culture, religion, politics, sexual orientation, gender variance, and nationalities. Class rosters are provided to the instructor with the student's legal name. Your instructor will gladly honor your request to address you by an alternate name or gender pronoun. Please advise your instructor of this preference early in the semester so that appropriate changes may be made to the records. Please, no open yawning or sleeping in class! See polices at http://www.colorado.edu/policies/classbehavior.html and at http://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_code
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; 303-735-2273). 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). Other information on the Honor Code can be found at http://www.colorado.edu/policies/honor.html and at http://www.colorado.edu/academics/honorcode/
Statement on Discrimination and 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 apply 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, the above referenced policies 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 Mon 10 Jan, due Wed 19 Jan)
10.1: 1, 3, 4, 5, 6, 8 (a, c), 9, 15, 18, 19, 20, 21
Graded: 10.1.8 (3), 10.1.9 (3), 10.1.19 (4)
Assignment 2 (assigned Wed 19 Jan, due Mon 24 Jan)
10.2: 2, 4, 5, 6, 7, 9, 10, 11, 13
Graded: 10.2.4 (4), 10.2.5 (2), 10.2.9 (4)
Assignment 3 (assigned Mon 24 Jan, due Mon 31 Jan)
10.3: 1, 3, 4, 5, 6, 7, 8, 9, 10, 11
Graded: 10.3.3 (2), 10.3.5 (4), 10.3.11 (4)
Assignment 4 (assigned Mon 31 Jan, due Mon 7 Feb)
11.1: 4, 5, 6
11.2: 9, 11, 12, 38
Graded: 11.1.5 (2), 11.2.9 (5), 11.2.12 (3)
Assignment 5 (assigned Mon 7 Feb, due Mon 14 Feb)
11.3: 2, 3 (except part (b)), 4
Graded: 11.3.2 (8), 11.3.4 (2)
Assignment 6 (assigned Mon 14 Feb, due Mon 21 Feb)
11.4: 3, 6
12.1: 1, 2, 3, 4, 5, 6, 7, 9, 13, 15
Graded: 11.4.3 (2), 12.1.3 (3), 12.1.5 (3), 12.1.13 (2)
Assignment 7 (assigned Mon 21 Feb, due Mon 28 Feb)
12.2: 1, 3, 4, 5, 6, 8, 11, 17, 18
Graded: 12.2.4 (4), 12.2.8 (2), 12.2.18 (4)
Assignment 8 (assigned Mon 28 Feb, due Mon 7 Mar)
12.3: 2, 17, 18, 20, 21, 22, 23, 25, 26, 31, 32, 34
13.1: 3, 5, 7 [over Q]
Graded: 12.3.23 (3), 12.3.26 (4), 13.1.3 (3)
Assignment 9 (assigned Mon 7 Mar, due Mon 14 Mar)
13.2: 3, 4, 5, 10, 12, 13, 14, 16, 19
13.3: 4, 5
Graded: 13.2.10 (2), 13.2.14 (3), 13.2.16 (3), 13.3.5 (2)
Assignment 10 (assigned Mon 14 Mar, due Wed 30 Mar)
13.4: 1, 2, 3, 4
13.5: 3, 6, 9
Graded: 13.4.3 (4), 13.4.4 (3), 13.5.6 (3)
Assignment 11 (assigned Mon 28 Mar, due Mon 4 Apr)
13.6: 1, 2, 3, 4, 6, 9, 10
14.1: 2, 3, 4, 6, 7, 10
Graded: 13.6.3 (3), 13.6.9 (3), 14.1.7 (4)
Assignment 12 (assigned Mon 4 Apr, due Mon 11 Apr)
14.2: 1, 4 [over Q], 5, 8, 11, 13
14.3: 1, 3, 7, 8, 9, 10
Graded: 14.2.5 (3), 14.2.11 (4), 14.3.8 (3)
Assignment 13 (assigned Mon 11 Apr, due Mon 18 Apr)
14.4: 1, 3
14.5: 3, 4, 5, 7, 10, 12 [look up "normal basis" in index]
Assignment 14 (assigned Mon 18 Apr, due Mon 25 Apr)
14.6: 2 [over Q], 3, 4 [over Q], 11, 17, 44, 46
14.7: 5, 10, 12