====== MA3202 Galoisteori – våren 2012 ======


===== Foreleser =====
[[http://www.math.ntnu.no/ansatte/v/?csk|Christian Skau]] \\
Rom 1046, Sentralbygg II. \\
Telefon 73 59 17 55. \\
E-post: <csk@math.ntnu.no>

===== Forelesninger =====
Torsdag 08.15-10.00, F4 \\
Fredag 08.15-10.15,F4 \\
Eksamen: 19.05.2012\\

===== Lærebok =====
P.B. Bhattacharya, S.K. Jain and S.R. Nagpaul \\
//Basic Abstract Algebra// \\
Cambridge University Press
Second Edition
ISBN: 0-521-46629-6

===== Pensum =====
Kapitlene 11, 15, 16, 17, 18.

===== Tidligere eksamensoppgaver =====
{{:ma3202:2012v:ma3202.eksamen.pdf|Eksamen 2004,2006,2009,2010,2011}}

===== Øvinger =====

==== Øving 1 ====

Tirsdag 31.01, kl.10.15-12.00, F4

Chapter 11.1: 1, 2, 3, 8 \\
Chapter 11.3: 2, 4, 8 \\
//Problem posed by Fermat//: \\
Prove that the Diophantine equation y<sup>2</sup>+2=x<sup>3</sup> has only the integer solutions y=±5, x=3. [Hint: Use that Z[√(-2)] is a Euclidean domain with norm N(a+b√(-2))=a<sup>2</sup>+2b<sup>2</sup>.

==== Øving 2====

Tirsdag 14.02, kl.10.15-12.00,F-4.

Chapter 15.1: 2, 4, 6(b)\\
Chapter 15.2: 2, 4\\
Chapter 15.3: 2, 4, 6, 10

==== Øving 3 ====

Torsdag 1.03,kl.08.15-10.00, F-4

Chapter 16.1: 2, 5, 7, 8, 9\\
Chapter 16.2: 2, 3, 4, 7, 8, 9,10,11\\
Chapter 16.3: 4

==== Øving 4 ====

Fredag 9.03, kl.08.15-10.00, Rom F-4

Chapter 16.4: 1, 2, 3, 4, 7, 8, 9, 10\\
Chapter 16.5: 2, 5, 6, 7

==== Øving 5 =====

Torsdag 29.03, kl.08.15-12.00, Rom F-4

Exam May 27,2011 

==== Øving 6 ====

Tirsdag 24.04, kl.10.15-12.00, Rom F-4  

Exam May 21,2010 and Exam May 18,2009