Math 5285H (Fundamental Structures of Algebra II), Spring 2010


This course is a continuation of Math 5285H. Topics include:

  • Ring theory
  • Modules
  • Applications to linear algebra
  • Field theory and Galois theory

Course Information

Here is the course syllabus.

The course textbook is Artin's "Algebra." (Thankfully, it does not publish a new edition every year.) Main chapters covered will be 10 through 14.

Suggested problems

All problems are from Artin's Algebra.
Date posted Problems
Fri, Jan 29 10.1: 2, 4, 13, 14
10.2: 7
10.3: 3, 4, 6, 9, 17, 18, 19, 29, 34
10.4: 2
Mon, Feb 15 10.4: 3, 8
10.5: 1, 4, 7, 12, 16
10.6: 1, 4, 5
10.7: 2, 4, 7, 9
10.8: 1, 7, 11
11.1: 4, 6, 8, 9, 15
11.2: 1
Mon, Mar 22 11.2: 8
11.3: 1, 8
11.4: 3, 4, 12
12.1: 1, 3, 6, 12
12.2: 1, 3, 5
12.3: 3
12.4: 1, 3, 6, 10
12.5: 1, 4, 5
12.6: 1, 3, 4
12.7: 2, 4, 7, 16, 18, 19
Wed, Apr 21 13.1: 3, 4
13.2: 1, 3, 6
13.3: 2, 3, 7, 9, 10, 15
13.4: 1, 5, 11
13.5: 1
13.6: 3, 7, 10, 15
13.M: 1, 2
14.1: 1, 3, 6, 8, 10, 16, 17
14.2: 3, 4
14.4: 2
14.5: 11

Exams

Exams (midterm and final) will be posted here once they exist.

  Due date Problems Solutions
Midterm 1 Fri, Feb 12 Here Feb 15 version
Midterm 2 Fri, Mar 12 Here Mar 22 version
Midterm 3 Fri, Apr 9 Here  
Final Fri, May 7 Here  

Contact information

If you have questions or comments, please contact me. My contact information is as follows:

  • By email: tlawson (at) math.umn.edu
  • By phone: 5-6802
  • By foot: Vincent Hall 323