INTRODUCTION TO MODERN ALGEBRA

office: 713 Van Vleck
e-mail: maxim AT math.wisc.edu
office hours: Friday, 10-12.

CLASS SCHEDULE:

MWF, 12:05 PM - 12:55 PM, Room: VAN VLECK B105.

SYLLABUS

TEXTBOOK:

A Concrete Introduction to Higher Algebra (3rd ed.) by L. Childs

GRADE:

Your course grade will be based on homework (30%), one midterm (30%), and a final exam (40%).
The midterm exam is scheduled on March 2, in class.

HOMEWORK and QUIZZES:

Homework will be assigned on a (roughly) weekly basis, and will be posted on this page.
Once the homework is posted, you'll have exactly a week to complete it and hand it in.
Late homework will not be accepted; instead, your lowest homework score will be dropped.

• HW 1: (due Feb. 4)
  Read sections §2A-D and §3A-D from the textbook, and solve the following exercises:
  Chapter 2: 2, 5, 6, 8, 16, 32, 36.
  Chapter 3: 3, 7, 13, 20, 25, 27, 28, 29, 33, 37, 46, 50, 51, 54.
  
• HW 2: (due Feb. 11)
  Read chapter 4 from the textbook, and solve the following exercises:
  Chapter 4: 5, 6, 10, 12, 15, 20, 21, 27, 33, 37, 40, 42, 43, 45, 48, 49.
  
• HW 3: (due Feb. 18)
  Read chapter 5 from the textbook, and solve the following exercises:
  Chapter 5: 6, 7, 13, 15, 18, 19, 20, 23, 25, 28, 39, 40, 49, 50.
  
• HW 4: (due Feb. 25)
  Read chapter 6 from the textbook, and solve the following exercises:
  Chapter 6: 9, 10, 11, 17(i,iii), 22, 33, 44, 47, 48, 50, 54, 57.
  
• HW 5: (not to be handed in)
  Read chapter 7(A,C) from the textbook, and solve the following exercises (a good preparation for the midterm!):
  Chapter 7: 4, 7, 9, 11, 16, 26, 27, 37.
  
• HW 6: (due March 21)
  Read chapter 9(A,B,C) from the textbook, and solve the following exercises:
  Chapter 9: 8, 9, 15, 25, 26, 27, 31, 37, 44, 51, 53, 54, 55.
  
• HW 7: (due April 1)
  Read chapter 11(A;B;C;F;G) from the textbook, and solve the following exercises:
  Chapter 11: 8, 12, 17, 18, 31, 34, 35, 36, 37, 38, 41, 47.
  
• HW 8: (due April 11)
  Read chapter 12 (A) from the textbook, and solve the following exercises:
  Chapter 12: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11.
  
• HW 9: (due April 22)
  Read chapter 13 (A,B,D) and chapter 14 (A,B,C) from the textbook, and solve the following exercises:
  Chapter 13: 1, 2, 3, 4, 5, 11.
  Chapter 14: 1, 4, 8, 12, 14, 21, 26, 27, 42, 43, 44.
• HW 10: (due May 4)
  Chapter 17: 1, 2, 11, 12, 14, 17, 18.
• Extra Credit: (due May 4)
  Solve the following exercises:
  Chapter 2: 20, 30, 37, 38.
  Chapter 3: 43, 49, 53, 55.
  Chapter 4: 8, 9, 28, 44, 47.
  Chapter 5: 16, 27, 33.
  Chapter 6: 36, 49, 55.
  Chapter 9: 28, 32, 33, 35, 48, 50, 52, 54.