MA360 ABSTRACT ALGEBRA

SYLLABUS

Professor: Michael Greeley

Office: Science Center 3-170

Office Hours: Tuesday and Thursday 1100 - 1200 or by appointment

Telephone: 617 287 6456

e-mail: Greeley@math.umb.edu

Text: Fraleigh, A First Course in Abstract Algebra, 7th edition

Topics:

Sets and Relations – chapter 0

Groups and Subgroups – chapter 1

Permutations, Cosets and Direct Products – chapter 2 (except section 12)

Homomorphisms and Factor Groups – chapter 3 (sections 13-16)

Rings and Fields – chapter 4 (sections 18-23)

Ideals and Factor Rings – chapter 5 (sections 26-27)

Extension Fields – chapter 6 (sections 29 -32)

(Maybe) Advanced Group Theory – chapter 7

Homework: Assigned each week and due the following week on Thursday. No late homework accepted. Homework must be written up neatly – no scratchwork allowed.

Exams: A Midterm and Final

Grade: Homework 25%; Midterm Exam 25%; Final Exam 50%

Homework Assignments:

Sep 11 page 8: 1-10, 12, 13, 14*, 29-31, 32*

Sep 18: page 19: 1,3,7,11,13,15,17,18*,23,28*,35,36*

Sep 25: page 25: 1-4, 5, 7-11,16,26*,30*,36*

page 34: 1-10, 12*,14*,16*,26*,27,28*

Oct 2: page 45: 1-9,10*,11-17,18*,23,28*,32* (what does this say about a table?)

Oct 9: page 55: 1-7, 10* (see Bretscher 2.3), 14*, 20*, 22*, 23, 43, 44*, 45, 46*,52*

Oct 16: page 66: 5-7, 8-11, 13, 15, 16*, 17, 19, 22*, 33, 34, 35, 44*, 46*, 48*

Oct 21: page 72: 1-4, 6*

page 83: 1-5, 6*, 7, 11, 12*, 17, 18*, 23, 24*, 40*, 41, 44*

Oct 30: page 94: 1-4, 7-9, 10*, 11, 30*, 32*, 36*

Nov 6: page 101: 1,3,6*,7,12*,15, 16*, 28*, 34*, 45, 46*

Nov 13: page 110: 1-5, 6*, 9, 10*, 14*, 21, 22*, 46*, 47, 48*

Nov 20: page 133: 1-5, 8*, 10*, 16*, 17, 18*, 33, 34*, 44*, 45, 50*

Nov 25: page 142: 1-8, 10*, 24*, 31, 32*, 34*, 40*

Dec 4: page 174: 1-4, 7-11, 12*, 14-19, 20*, 22*, 38*, 40*, 41, 44*, 46*

Dec 11: page 182: 1, 2*, 3, 4*, 5, 8*, 24*, 26*

page 189: 2*, 5, 6*, 7, 8*, 11, 12*, 27, 28*

Dec 15: page 196: 1, 2*, 4*