Alberto Corso

Teaching, Fall 2010

This page has been designed as a means to support my Elementary Modern Algebra II (MA 362), Fall 2010, students. This page will be periodically updated and it will eventually contain, in addition to general information (see the syllabus), weekly announcements and solutions to homework problems.

Obviously my webpage will only be helpful if I get feedback: What kind of stuff should be posted and in what form? Just as important: Got a topic or problem that should be discussed in class? Send it over!

Syllabus

First Midterm (in class):
November 1, 2010

Second Midterm (take-home test):
test (due date 12/10/2010)

Final Exam (in class):
December 15, 2010 - 8:00-10:00am

Homework Assignment:

1. Section 14: Factor Groups
   (due date 9/8/2010)     # 9, 10, 24, 26, 27, 30, 31, 32, 33, 34, 37, 39
   
   
2. Section 18: Rings and fields
   (due date 9/13/2010)     # 37, 38, 41, 44, 45, 46, 50, 55
   
   
3. Section 19: Integral domains
   (due date 9/20/2010)     # 1, 7, 8, 9, 10, 26, 29, 30
   
   
4. Section 20: Fermat's and Euler's theorems
   (due date 10/4/2010)     # 4, 6, 8, 9, 11, 12, 15, 21, 27, 28, 29, 30
   
   
5. Public-Key Criptography: supplement to Section 20
   file
   
   
6. Section 21: The field of quotients of an integral domain
   no homework assignment.
   
   
7. Section 22 Rings of polynomials
   (due date 10/25/2010)     # 2, 5, 9, 11, 12, 16, 24, 25, 27, 28
   
   
8. Section 23 Factorization of polynomials over a field
   (due date 10/29/2010)     # 11, 16, 17, 19, 21, 31, 35
   
   
9. Section 26 Homomorphisms and factor rings
   (due date 11/15/2010)     # 1, 3, 4, 17, 18, 20, 23, 27, 28, 30, 34, 36
   
   
10. Section 27 Prime and maximal ideals
    (due date 11/22/2010)     # 1, 4, 24, 26, 28, 30, 32, 33, 36, 38
    
    
11. Section 29 Introduction to extension fields
    (due date 12/06/2010)     # 4, 5, 6, 18, 30, 36, 37
    
    
12. Section 30 Vector spaces
    no homework assignment.
    
    
13. Section 31 Algebraic extensions
    (due date NONE)     # 2, 6, 10, 23, 26, 27, 29, 30
    
    
14. Section 32 Geometric constructions
    (due date NONE)     # 3, 4, 8, 9, 10
    
    
15. Section 33 Finite fields
    (due date NONE)     # 1, 2, 4, 7, 9, 10, 12, 14
    
    
16. Section 47 Gaussian integers and multiplicative norms
    no homework assignment.