Math 55300 001 22179: Spring 2020
Abstract Algebra

Syllabus
Textbook Abstract Algebra Third Edition,

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

Lectures Lectures: MWF 11:30 am-12:20 pm, UNIV 101.

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

Grader for HW Cheng Meng e-mail: cheng319@purdue.edu

Test 1

In class on Wednesday, Feb. 26, 2020

Test 2

In class on Wednesday, April 22, 2020

Final Exam

In our classroom UNIV 101 from 3:30 - 5:30 p on Monday, May 4, 2020.

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

Purdue University strives to make learning experiences accessible to all participants. If you anticipate or experience physical or academic barriers based on disability, you are encouraged to contact the Disability Resource Center at: drc@purdue.edu or by phone: 765-494-1247. In this mathematics course accommodations are managed between the instructor, student and DRC Testing Center. Students should see instructors outside class hours, before or after class or during office hours,to share your Accommodation Memorandum for the current semester and discuss your accommodations as soon as possible.

Assignments subject to modification

Assignment 1 To be handed in Friday, Jan. 17, 2020

Section 3.4, page 106 , exercises 2, 4, 5, 6, 7, 8, 9, 10, 11.

Assignment 2 To be handed in Friday, Jan. 24, 2020

Section 3.5, page 111, exercises 4, 5, 10, 12, 13.

Section 4.1, page 116 - 117, exercises 1, 2, 3, 7, 8.

Assignment 3 To be handed in Friday, Jan. 31, 2020

Section 4.2, page 122, exercises 11, 12, 13.

Section 4.3, pages 130-132, exercises 2, 5, 11, 13,19, 20, 22, 30.

Assignment 4 To be handed in Friday, Feb. 7, 2020

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.

Assignment 5 To be handed in Friday, Feb. 14, 2020

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.

Assignment 6 To be handed in Friday, Feb. 21, 2020

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.

Sections 7.5 and 7.6, page 264, exercises 3, 4, pages 267 - 268, exercises 5a, 7.

Assignment 7 To be handed in Friday, March 6, 2020

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.

Assignment 8 To be handed in Friday, March 13, 2020

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.

Assignment 9 To be handed in Friday, March 27, 2020

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.

Assignment 10 To be handed in Friday, April 3, 2020

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.

Assignment 11 To be handed in Friday, April 10, 2020

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.

Assignment 12 To be handed in Friday, April 17, 2020

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.

Assignment 13 To be handed in Friday, April 24, 2020

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.

Assignment 14 Not to be handed in, dead week

Section 14.6, page 617, exercise 11.

Section 14.7, page 636, exercises 4, 5.

Section 14.9, page 654, exercises 12, 13.

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