Syllabus

Instructor: Dr. Orin Chein

Office: 612 Computer Building

Office hours: To be determined

Phone: (215)204-7846

e-mail: orin@math.temple.edu

Text: Abstract Algebra, by D. Dummit and R. Foote, second edition

There will be two types of homework problems - those which are to be handed in and which will constitute part of the grade, and other problems which you are expected to do but which will not be routinely collected.

Problems to be handed in will be due one week after they are assigned. Fully justified solutions to these problems, representing your own work, are to be submitted by the due dates above. You are not to collaborate on these solutions with anyone other than me.

Each new solution is to begin on a new page. Make sure you leave adequate space for me to make comments. Word processed or typed solutions are preferable, but solutions written IN BLUE OR BLACK INK are acceptable, provided that they are clearly legible. Submissions in pencil or red ink will not be accepted.

In addition to the hand-in problems, numerous problems will be assigned each class to be done for the following class. Although these problems are not to be handed in, you may do so if you would like me to correct them. You will also have an opportunity to ask me to go over some of them at the beginning of the following class, so it is important that they be attempted in a timely fashion. It is perfectly acceptable to me if you collaborate on these problems with your classmates; in fact, I encourage you to do so.

Grading:

The homework problems to be handed in will constitute 20% of the final grade. In addition, there will be two midterm examinations, each worth 25% and a (cumulative) final exam worth 30%.

Problems to be handed in:

Page 279: #4

Page 302: #5

In the ring of Gaussian integers, find the greatest common divisor of 9+2i and 6+7i, and express it as a linear combination of the two.

Page 312: #6

Page 325: #8,18

Page 331: #6,9

Page 402: #8,9,10

Page 499: #3

Page 509: #2,7

Page 515: #5

Page 525: #4

Overnight problems:

Page 279: #1,2,3,5,6,7,10,11,read 8

Page 283: #2,4,5

Page 293: #2

Page 299: #1,2,3,4,5,6,7,15,16

Page 302: #1,2,3,6,7,9,11

Page 307: #1,3

Page 312: #1,2,3,5,7,8,9,12,14,16

Page 316: #2

Page 324: #1,2,3,4,5,6,7,9,10,11,12,17,19,20

Page 331: #1,2,3,7,9,10,11

Page 336: #1,3,6,7,8,9,11

Page 393: #1,2,3,7,8,9

Page 402: #1,2,4,6,7,11,12

Page 448: #6,7,8,9,13,/p>

Page 499: #1,2,4

Page 509: #1,3,4,5,12,13

Page 515: #1,4

Page 525: #1,2,3