MA3202 Galoisteori – våren 2012

Foreleser

Christian Skau
Rom 1046, Sentralbygg II.
Telefon 73 59 17 55.
E-post: csk [at] math [dot] ntnu [dot] 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

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 y2+2=x3 has only the integer solutions y=±5, x=3. [Hint: Use that Z[√(-2)] is a Euclidean domain with norm N(a+b√(-2))=a2+2b2.

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

2013-01-14, Harald Hanche-Olsen