Math 81/111
Rings and Fields

Last updated June 17, 2015 12:56:58 EDT

General Information Syllabus HW Assignments

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Homework Sample Solutions

Homework Assigments

February 27 -- March 2, 2012
Assignments Made on:
Monday:
  • Study: Class notes (Solvability by radicals)
  • Do:
Wednesday:
  • Study: Class notes (Insolvability of the quintic; the general polynomial of degree n)
  • Do:
Friday:
  • Study: Class notes (Introduction to Algebraic Number Theory)
  • Do:


February 20 -- February 24, 2012
(Due Thursday, March 1)
Assignments Made on:
Monday:
  • Study: Class notes (Finite fields, irreducibles over F_p, finite abelian groups are Galois groups)
  • Do:
Wednesday:
  • Study: Class notes (Prime cyclotomic fields and primitive elements, Artin's theorem on characters, norm and trace)
  • Do: Assignment 7
    LaTeX source (for those who want to LaTeX their solutions).
Friday:
  • Study: Class notes (solvability by radicals, Hilbert's Theorem 90)
  • Do:


February 13 -- February 17, 2012
(Due Thursday, February 23)
Assignments Made on:
Monday:
  • Study: Class notes (equivalent versions of FTGT, examples)
  • Do:
Wednesday:
  • Study: Class notes (normality in Galois extensions, more examples)
  • Do: Assignment 6
    LaTeX source (for those who want to LaTeX their solutions).
Friday:
  • Study: Class notes (Liftings and composites of Galois extensions)
  • Do:


February 6 -- February 10, 2012
(Due Wedneday, February 15)
Assignments Made on:
Monday:
  • Study: 9.6
  • Do:
Wednesday:
  • Study: Primitive element theorem, start FT Galois theory
  • Do: Midterm Exam
    LaTeX source (for those who want to LaTeX their solutions).
Friday:
  • Study: FT Galois theory finish correspondence without normality consideration
  • Do:


January 30 -- February 3, 2012
(Due Thursday, February 9)
Assignments Made on:
Monday:
  • Study: 9.2, 9.3
  • Do:
Wednesday:
Friday:
  • Study: 9.5
  • Do:


January 23 -- 27, 2012
(Due Thursday, February 2)
Assignments Made on:
Monday:
  • Study: 8.5
  • Do:
Wednesday:
Friday:
  • Study: 9.2, class notes
  • Do:


January 16 -- 20, 2012
(Due Thursday, January 26)
Assignments Made on:
Wednesday:
  • Study: 8.5
  • Do:
Thursday:
Friday:
  • Study: 9.1, 9.9(cyclotomic polynomials)
  • Do:


January 9 -- 13, 2012
(Due Thursday, January 19)
Assignments Made on:
Monday:
  • Study: 8.3
  • Do:
Wednesday:
Friday:
  • Study: 8.4, 8.5
  • Do:


January 4 - 9, 2012
(Due Thursday, January 12)
Assignments Made on:
Wednesday:
Friday:
  • Study: 8.2, 8.3
  • Do:


T. R. Shemanske
Last updated June 17, 2015 12:56:58 EDT