Math 654 -- Spring 2014

Graduate Algebra

TR 2:20-3:35pm
ZACH 119A

Homework: (turn in *ed problems)

HW1: pg. 178: 1*,4*,5,7*,9*,11,15 (due 1/23)
HW2: pg. 188: 1*,4bcd*,5,10,12*,13,14* (due 1/30)
HW3: pg. 198: 1*,3*,5,9*,14* (due 2/6)
HW4: pg. 206: 1,2*,4*,6*,7,12ab* (due 2/13)
HW5: pg. 216: 1*,2ab*,3*,5,11, X1*
HW6: pg. 226: 2,3*,4,5*,7*,X2*: (a) Show that A:=Q/Z is a torsion Z-module, and desbribe A(p) for each prime p. (b) give an example of a non-free, torsion-free, finitely generated module over Z[x] (of course prove all properties). (c) give an example of a non-free, torsion-free Z-module.
HW6: pg. 365: 5*,10* (read pgs. 355-365) (due 3/6) (half-assignment)
HW7: pg. 241: 1*,8*,9,14*,17,18,19* (due 3/20)
HW8: pg. 255: 2*,3,4,6*(counts as 2),9* (due 3/27)
HW9: pg. 255: 11*,12,13*,14*; pg. 267, 5*,7 (due 4/3)
HW10: pg. 267: 8*,15*,17*,20,24* (due 4/10)
HW11: pg. 276: 1,2*,11* pg. 281: 3,5a,7*,11*

Course Description:

This is the second semester of a 2-semester course on algebra. This term we will focus on Modules and Galois Theory.

Course Information:

	Instructor:	Dr. Eric Rowell
	Office Hours:	Wednesday 1:30-2:30pm (tentative); also by appointment and "drop-ins".

	Office:	210 Milner
	Office Phone:	845-2833
	E-mail:	rowell@math.tamu.edu

	Textbooks:	The required textbook is Algebra, by T. Hungerford (5th printing or beyond).

	Course Syllabus:	The course covers most of chapters 4-5 and additional topics will be covered as time permits.

	Exams:	There will be one midterm exam and one final exam. See schedule below.

	Homework:	Written homework will be due on a weekly basis.

	Prerequisites:	An undergraduate course in Modern (Abstract) Algebra and M653.

	Qualifying Exam:	This course is designed to (partially) prepare you for the qualifying exam in Algebra. For a syllabus describing the topics covered, see: /teaching/graduate/quals/nalgebra/nalgsy.pdf

Tentative Exam Schedule:

	There will be 1 in-class exam during the semester and one final exam. The dates and times are listed below.

	Exam	Final Exam
Date/Time	Tues. March 4	Wed. May 7
Location	ZACH 119A	ZACH 119A

Grading:

Your final grade will be determined by the total number of points obtained on exams, homework, and quizzes. Out of 500 total points, each component contributes to your grade as follows:

Component	Points
Homework	150
Exam	100
Final Exam	150

	The following grade distribution will be used in determining final course grades:

Grade	Percentage of Total Points
A	90.0%-100.0%
B	80.0%-89.9%
C	70.0%-79.9%
D	60.0%-69.9%
F	0.0%-59.9%

Course Policies:

	Missed Work:	Making up missed work (including missed exams, quizzes, and homework) will be arranged according to University policies only. A university approved excuse must be provided to the instructor in writing (e-mail is sufficient) within 1 working day for exams and within 2 working days for other work. See Student Rule 7 for a description of university approved excuses: http://student-rules.tamu.edu/rule07

	Academic Dishonesty:	It is not permissible to hand in the work of others for a grade, including work on exams, quizzes, and homework. You are allowed to discuss homework with others, but your write-ups are expected to be done on your own and in your own words. Copying the work of others will be prosecuted to the full extent possible under University policies.

	Disability Assistance:	Assistance is available from the office of Services for Students with Disabilities, Koldus 126, 845-1637, disability@tamu.edu, http://disability.tamu.edu/. Students seeking special considerations for an exam must contact this office several weeks in advance.

Page maintained by Eric Rowell, Dept. of Mathematics, Texas A&M University.