MA553 Fall 20

Ralph Martin Kaufmann

Purdue University; Department of Mathematics
150 N. University Street; West Lafayette, IN
 Phone: (765) 494-1205; Fax: (765) 494-0548
e-mail: rkaufman@math.purdue.edu  URL: http://www.math.purdue.edu/~rkaufman




Date and Time: MWF 10:30 -11:20 REC 113

                                Syllabus

Office hours: M 3:00-3:50 and by appointment in MATH 730.



Textbook: Abstract Algebra by David S Dummit and Richard M Foote

News: :Last homework is up. Happy Thanksgiving.


Homework:  The Homework Problems and due dates will be listed here.
Homeworks without a due date are preliminary subject to change.
#
Assignment
Due date
1
Section 3.4, page 106 , exercises 2, 4, 5, 6, 7, 8, 9, 10, 11
Section 3.5, page 111, exercises 4, 5, 10, 12, 13.
9/7
2
Section 4.1, page 116 - 117, exercises 1, 2, 3, 7, 8.
Section 4.2, page 122, exercises 11, 12, 13.
Section 4.3, pages 130-132, exercises 2, 5, 11, 13,19, 20, 22, 30
9/14
3
Section 4.4, pages 137-138, exercises 1, 2, 3, 6, 7, 8, 9.
Section 4.5, pages 146 - 148, exercises 6, 7, 8, 9, 13, 17, 26, 30, 32, 33, 37, 40.
9/21
4
Section 7.1, pages 231 - 232, exercises 11, 12, 13, 14, 15, 16, 21, 22, 26, 27.
Section 7.2, page 238, exercises 2, 3 b, c, 4, 5.

9/28
5
Section 7.3, pages 248 - 250, exercises 4, 8, 10, 15, 26, 27, 28, 29. 33.
Section 7.4, pages 256 - 259, exercises 7, 8, 10, 11, 15.
10/5
6
Section 8.1, pages 278 - 279, exercises 3, 6, 10, 11.
Section 8.2, pages 282 - 283, exercises 1, 2, 5, 6, 7.
Section 8.3 pages 293, exercises 2, 6.
10/12
7
Section 8.3, pages 293 - 294, exercises 7, 8, 11.
Section 9.1, pages 298, exercises 4, 5, 6, 7.
Section 9.2. page 301, exercises 4, 5, 6, 7.
10/19
8
Section 9.3, page 306, exercises 1, 2, 3, 4.
Section 9.4, pages 311 - 312, exercises 3, 4, 5, 17,
Section 9.5, page 315, 1,3, 4, 5, 6
10/26
9
Section 13.1, page 519, exercises 3, 5, 6.
Section 13.2, page 530, exercises 5, 7, 8, 9, 10, 12, 14, 16, 17, 18.
11/2
10
Section 13.4, page 545, exercises 1, 5, 6.
Section 13.5, page 551, exercises 3, 4, 5.
Section 13.6, page 555-556, exercises 1, 2, 5, 10.
11/11
11
Section 14.1, page 567, exercises 4, 6, 8, 9.
Section 14.2, pages 581 - 583, exercises 1, 3, 6, 7, 8, 9, 17, 18, 19.
11/18
12
Section 14.3 page 589, exercises 1, 7, 8, 10.
Section 14.4, pages 595 - 596, exercises 1, 2, 4, 5, 6.
Section 14.5, page 603, exercise 10.
11/25
13
Section 14.6, page 617, exercise 11.
Section 14.7, page 636, exercises 4, 5.
Section 14.9, page 654, exercises 12, 13
.
12/02


Extra topics: Suggested Reading
Chapter 5. Direct Products, semi-direct products: definitions and recognition. Statement of Fundamental Theorem of finitely generated Abelian groups.
Chapter 6. Lower central series, derived series, free groups.