MA3202 Galoisteori – våren 2014
Foreleser
Christian Skau
Rom 1046, Sentralbygg II.
Telefon 73 59 17 55.
E-post: csk [at] math [dot] ntnu [dot] no
Forelesninger
Mandag 08.15-10.00, K27
Fredag 12.15-14.00, F2
Eksamen: 2 juni
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.
Øvinger
Øving 1
Mandag 20.01, kl.08.15-10.00, K27
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
Mandag 10.02,kl.08.15-10.00, Rom K27
Chapter 15.1: 2, 4, 6(b)
Chapter 15.2: 2, 4
Chapter 15.3: 2, 4, 6, 10
Problem 4 (Continuation Exam August 2013)
Øving 3
Fredag 7.03, kl. 14.15-16.00, F4
Continuation Exam August 2013: Problems 3,5
Exam, May 2013: Problems 1,2,3,6,7
Øving 4
Fredag 21.03, kl.14.15-16.00, Rom F4
Continuation Exam August 2013: Problem 2
Exam May 2013: Problem 5
Exam May 2012: Problem 5
Exam May 2011: Problem 2
Exam May 2010: Problems 1,5
Exam May 2009: Problem 2
Exam June 2006: Problem 3
Øving 5
Fredag 25.04, kl.12.15-14.00, Rom F2
- Exam 2013: Problem 4
- Exam 2012: Problems 1,4
- Exam 2011: Problems 1,3,4,5
- Exam 2010: Problems 3,4,6
- Exam 2009: Problem 5
- Exam 2006: Problems 1,5
- Exam 2004: Problem 5