Math 553: Fall 2007
Abstract Algebra

Syllabus


Textbook Abstract Algebra Third Edition,

by David S. Dummit and Richard M. Foote ISBN # 0-471-43334-9.

Lectures Lectures: MWF 3:30-4:20 pm, MS 215.

Office hours: Tuesday and Thursday 3:30 - 4:30 pm, Room 636 Math. Sci.

Grader for HW Jen-Chieh Hsiao e-mail: jhsiao@math.purdue.edu

Office hour: Monday 2:30 - 3:30 pm, Room 707 Math. Sci.

Test 1

Wednesday, October 3

Test 2

Wednesday, November 28

Final Exam

Thursday, Dec. 13 1:00 - 3:00 pm in CL50 room 125

Topics to be covered: Group theory: Sylow theorems, Jordan-Hölder theorem, solvable groups. Ring theory, unique factorization in polynomial rings and principal ideal domains. Field theory: ruler and compass constructions, roots of unity, finite fields, Galois theory, solvability of equations by radicals.

Assignment 1 To be handed in Friday, August 24, 2007

page 106 , exercises 2, 4, 5, 6, 7, 8, 9, 10.

Assignment 2 To be handed in Friday, August 31, 2007

page 111, exercises 4, 5, 10, 12, 13.

page 116, exercises 2, 3.

Assignment 3 To be handed in Friday, September 7, 2007

page 122, exercises 11, 12, 13.

pages 130 - 131, exercises 2, 5, 11, 13, 19, 20, 22.

Assignment 4 To be handed in Friday, September 14, 2007

page 137, exercises 2, 6, 7, 8.

pages 146 - 148, exercises 6, 7, 8, 9, 13, 17, 26, 30, 32, 33, 37, 40.

Assignment 5 To be handed in Friday, September 21, 2007

pages 231 - 232, exercises 11, 12, 13, 14, 15, 16, 21, 22.

pages 248 - 250, exercises 4, 8, 10, 15, 26, 27, 28, 33.

Assignment 6 To be handed in Friday, September 28, 2007

pages 256 - 259, exercises 7, 8, 10, 11, 15, 19, 23, 24, 25, 26, 27, 28, 30, 31, 32.

page 267 - 268, exercises 5a, 7.

Assignment 7 To be handed in Friday, October 12, 2007

pages 278 - 279, exercises 3, 6, 10, 11.

pages 282 - 283, exercises 1, 2, 5, 6, 7a,b.

Assignment 8 To be handed in Friday, October 19, 2007

pages 293 - 294, exercises 2, 6, 8, 11.

page 298, exercises 4, 5, 6, 7.

Assignment 9 To be handed in Friday, October 26, 2007

page 301, exercises 1, 2, 3, 4, 5, 6, 7, 8.

page 306, exercises 1, 2, 3.

Assignment 10 To be handed in Friday, November 2, 2007

pages 311 - 312, exercises 3, 4, 5, 17.

page 519, exercises 3, 5, 6.

page 530, exercises 5, 7, 8, 9, 10, 12, 14, 16, 17.

Assignment 11 To be handed in Friday, November 9, 2007

page 545, exercises 1, 5, 6,

page 551, exercises 3, 4, 5.

pages 581 - 583, exercises 1, 3, 6, 7, 17, 18, 19.

Assignment 12 To be handed in Monday, November 19, 2007

page 589, exercises 1, 7, 8, 10.

pages 595 - 596, exercises 1, 2, 4, 5, 6.

page 603, exercise 10.

Assignment 13 Not to be handed in

page 617, exercise 11.

page 636, exercises 4, 5.

page 654, exercises 12, 13.


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