Math 403
Solutions to HW 8

Here is the final exam. Good luck! It is due Tuesday, May 18, by 2 PM.

The final exam is a take-home. It will be available here on Friday May 14, before noon. It is due on Tuesday May 19 in my office; if I'm not there put it under my door.

There will be a final class/review session on Wednesday, May 12 1 PM in the usual room.

Here is a copy of test 2 and now solutions (updated 5/10).

Here is a review of rings.

The first exam is Wednesday, March 10. Here is a sample exam and solutions.

Here is a copy of exam 1 and solutions.

Title: Abstract Algebra
Instructor: Professor Jeffrey Adams
Time: MWF 1-2
Location: Chemistry 1224 (Note change of room, which is official)
Office Hours: Monday/Wednesday 12-1 or by appointment
Book: Contemporary Abstract Algebra by Joseph Gallian
Office: Math 2310
Phone: (301) 405-5493

Prerequisites: Math 240 and 241

Syllabus: We'll be covering material on groups, rings and fields. This includes most or all of sections 0-5 (groups), 12-14 (rings), and 19-21 (fields), plus a few topics from other sections.

Grading:

2 Midterms200
Homework100
Final150
Total450

Homework: Homework will be assigned regularly, typically one assignment per week. It is due by the beginning of class on the due date. Late homework is accepted but the score will be reduced by 20% each day it is late.

  • Homework 1, due Monday February 1: page 21, #4, 7, 20, 21; pg. 35, 2, 5, 13, 16
  • Homework 2, due Friday February 20: pg. 52, #14, 15, 26, 35, 36, 39; page 64, #18, 29, 60
  • Homework 3, due Friday February 26: pg. 149, #6, 7, 11, 13, 29, 32, 36
  • Homework 4, due Friday, March 5: page 113, #3, 6, 7, 11, 27, 46, 54
  • Homework 5, due Friday, March 26: page 193, #6,7,9,11,49,50,65
  • Homework 6, due Monday, April 5: page 242, #2, 4, 7, 13, 22, 23; pg. 255, #2, 8, 9
  • Homework 7, due Wednesday, April 14: page 269, #3,4,6,7,27,28; page 287, #7,8,10,12
  • Homework 8, due Monday, April 26: page 300, # 1,3,6,18,21,24,33; pg. 316, #5, 7, 11
  • Homework 8, due Monday, May 10: pg. 366, #2,3,4,5; pg. 378, #8,9. Extra credit: pg. 379, #14, 23, 30.
    • Tentative Lecture Schedule
    Date Topic
    Monday 1/25 Introduction; Part 1
    Wednesday 1/27 Part 1 (cont.), Section 1 (groups)
    Friday 1/29 Section 2 (more on groups)
    Monday 2/1 Section 3 (finite groups)
    Wednesday 2/3 Section 3 (finite groups cont.)
    Friday 2/5 Section 4 (cyclic groups)
    Monday 2/8 Section 4 (cyclic groups cont.)
    Wednesday 2/10 Section 5 (permutation groups)
    Friday 2/12 Section 6 (isomorphisms)
    Monday 2/15 Section 7 (cosets)
    Wednesday 2/17 Section 7 (cosets cont.)
    Friday 2/19 Section 8 (direct products)
    Monday 2/22 Section 9 (quotients)
    Wednesday 2/24 Section 9 (quotients cont.)
    Friday 2/26 Section 10 (homomorphisms)
    Monday 3/1 Section 10 (homomorphisms cont.)
    Wednesday 3/3 Section 12 (fundamental theorem of finite abelain groups)
    Friday 3/5 Section 12 (ftfag cont.)
    Monday 3/8
    Wednesday 3/10 Exam I
    Friday 3/12 Section 12 (rings cont.)
    Monday 3/15 Spring Break
    Wednesday 3/17 Spring Break
    Friday 3/19 Spring Break
    Monday 3/22 Section 13 (integral domains)
    Wednesday 3/24 Section 14 (ideals and factor rings)
    Friday 3/26 Section 15 (homomorphisms)
    Monday 3/29 Section 16 (polynomial rings)
    Wednesday 3/31 Section 16 (polynomial rings cont.
    Friday 4/2 Section 17 (factorization)
    Monday 4/5 Section 17 (factorization cont.)
    Wednesday 4/7 Section 19 (vector spaces)
    Friday 4/9 Section 19 (vector spaces cont.)
    Monday 4/12 Section 20 (extension fields)
    Wednesday 4/14 Section 20 (extension fields cont.)
    Friday 4/16 Section 21 (algebraic extensions)
    Monday 4/19 Section 21 (algebraic extensions cont.)
    Wednesday 4/21 Section 22 (finite fields)
    Friday 4/23 Section 22 (finite fields cont.)
    Monday 4/26 Exam 2
    Wednesday 4/28 TBA
    Friday 4/30 TBA
    Monday 5/3 TBA
    Wednesday 5/5 TBA
    Friday 5/7 TBA
    Monday 5/10 TBA
    Th 5/13    

    Math 140