MATH3140-001 (Abstract Algebra 1)

MATH3140, Spring 2014
Instructor: Dr Green
Venue: MWF 1, FLMG 156
Office: MATH 313
Email: rmg [AT] euclid.colorado.edu
Office Hours: T 11, T 4, F 10
Text
A first course in abstract algebra, 7th ed (John B. Fraleigh)
Prerequisites
MATH 2001 and MATH 3130
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: The three examination scores may be individually curved to produce an appropriate profile.
Tests
The two midterms will be held during class on Wednesday, February 12 and Wednesday, March 19, 2014.
The final examination is on Tuesday, May 6, 2014 from 1.30pm to 4pm in the usual classroom. (Check that this agrees with your other sources of information!) Bring your CU student ID to all of your tests.
The first midterm may be something like this.
The second midterm may be something like this.
The final may be something like this.
Homework
Homework is due at the beginning of class. Some, but not all of the problems will be graded. Justify all your answers. Your homework score will be based on the best 10 of 14 assignments. You should assume that late work will not be graded.
Students With Disabilities
If you qualify for accommodations because of a disability, please submit to your professor a letter from Disability Services in a timely manner (for exam accommodations provide your letter at least one week prior to the exam) so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities. Contact Disability Services at 303-492-8671 or by email at dsinfo [AT] colorado.edu.
If you have a temporary medical condition or injury, see Temporary Medical Conditions: Injuries, Surgeries, and Illnesses guidelines under Quick Links at the Disability Services website and discuss your needs with your professor.
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 score. If you miss both midterm exams for acceptable reasons, each midterm score will be replaced by your final exam score. If you miss the final exam (unless it is for an acceptable reason), you will score zero on the final and you should expect to fail the course.
Religious Obligations
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 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. 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 differences of race, color, culture, religion, creed, politics, veteran's status, sexual orientation, gender, gender identity and gender expression, age, disability, 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. Please, no open yawning or sleeping in class! See policies 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 [AT] 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.
Statement on Discrimination and Harassment
The University of Colorado Boulder (CU-Boulder) is committed to maintaining a positive learning, working, and living environment. The University of Colorado does not discriminate on the basis of race, color, national origin, sex, age, disability, creed, religion, sexual orientation, or veteran status in admission and access to, and treatment and employment in, its educational programs and activities. (Regent Law, Article 10, amended 11/8/2001.) CU-Boulder will not tolerate acts of discrimination or harassment based upon Protected Classes or related retaliation against or by any employee or student. For purposes of this CU-Boulder policy, "Protected Classes" refers to race, color, national origin, sex, pregnancy, age, disability, creed, religion, sexual orientation, gender identity, gender expression, or veteran status. Individuals who believe they have been discriminated against should contact the Office of Discrimination and Harassment (ODH) at 303-492-2127 or the Office of Student Conduct (OSC) 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 13 Jan, due Wed 22 Jan)
Section 1: 25, 26, 31, 32, 35, 36, 37
Section 2: 1, 5, 6, 7, 8, 24
Graded: 1.32 (3), 1.36 (3), 2.8 (4)
Assignment 2 (assigned Wed 22 Jan, due Wed 29 Jan)
Section 3: 2, 3, 11, 12
Section 4: 1, 2, 8, 11, 12, 13, 14, 19, 25
Graded: 3.12 (2), 4.14 (3), 4.19 (5)
Assignment 3 (assigned Wed 29 Jan, due Wed 5 Feb)
Section 5: 9, 10, 11, 12, 22, 23, 39, 44
Section 6: 5, 6, 9, 10, 17, 18, 20, 21, 32
Graded: 5.12 (3), 5.22 (2), 6.18 (2), 6.21 (3)
Assignment 4 (assigned Mon 3 Feb, due Mon 10 Feb)
Section 7: 1, 2, 7, 8, 10
Section 8: 1, 2, 6, 9, 20, 32, 33, 34
Graded: 7.10 (4), 8.2 (2), 8.20 (4)
Assignment 5 (assigned Mon 10 Feb, due Mon 17 Feb)
Section 9: 1, 2, 7, 8, 10, 11, 23, 24
Graded: 9.2 (2), 9.10 (4), 9.24 (4)
Assignment 6 (assigned Mon 17 Feb, due Wed 26 Feb)
Section 10: 1, 2, 6, 7, 12, 15, 19
Section 11: 1, 2, 14, 20, 23, 24, 46
Graded: 10.6 (3), 11.20 (3), 11.24 (4)
Assignment 7 (assigned Mon 24 Feb, due Mon 3 Mar)
Section 13: 2, 3, 4, 5, 6, 8, 12, 13, 17, 18, 25, 26, 32
Graded: 13.2 (2), 13.6 (2), 13.8 (3), 13.18 (3)
Assignment 8 (assigned Mon 3 Mar, due Wed 12 Mar)
Section 14: 5, 6, 11, 12, 23
Section 15: 1, 2, 3, 6, 13, 19, 22, 23, 30, 31
Graded: 14.6 (2), 14.12 (2), 15.2 (3), 15.22 (3)
Assignment 9 (assigned Mon 10 Mar, due Fri 21 Mar)
Section 18: 4, 5, 11, 12, 13, 15, 17, 18, 23, 33 [give lots of detail for 11 and 12]
Graded: 18.12 (5), 18.18 (2), 18.33 (3)
Assignment 10 (assigned Mon 17 Mar, due Wed 2 Apr)
Section 19: 2, 3, 11, 14, 15, 16, 17, 18, 23
Graded: 19.2 (2), 19.14 (2), 19.18 (4), 19.23 (2)
Assignment 11 (assigned Mon 31 Mar, due Wed 9 Apr)
Section 20: 1, 4, 5, 8, 10, 13, 14, 23, 24
Section 21: 1, 2, 4, 5 [give lots of detail for 1 and 2]
Graded: 20.4 (2), 20.14 (3), 21.2 (5)
Assignment 12 (assigned Mon 7 Apr, due Fri 18 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 Mon 14 Apr, due Wed 23 Apr)
Section 26: 2, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17
Assignment 14 (assigned Mon 21 Apr, due Wed 30 Apr)
Section 27: 5, 6, 7, 10, 11, 14, 15, 16, 18, 19
Section 34: 1, 2, 4, 5, 7