Number Theory and Geometry

For an overview of the module, including aims and learning outcomes, click here.

Course materials for this module will be placed on this page once they become available. The Number Theory part is being taught by Manuel Breuning; the Geometry part is being taught by Sarah Hart.

All lectures are in room B20 (Malet Street), 6-9pm. Lecture dates:

Number Theory 12, 19 and 26 October 2012; 2, 16, 23 and 30 November 2012; 7 December 2012.
Geometry 18, 25 Jan; 1, 8 Feb; 1, 8, 15, 22 March 2013.
Revision lectures Number Theory: 26 April 2013

Geometry Notes and Resources are on Moodle logo.

Additional Information for the Number Theory Part

Information sheet

Lecturer contact details:
Email: manuel.breuning@gmail.com

Lecture Notes

Number Theory notes, Corrections to the Number Theory notes
Solutions to the exercises in the Number Theory notes
Quiz, 19/10/2012, Quiz, 16/11/2012, Solutions to the quizzes

Assignments

Each assignment is worth 5% of the marks for this module.  Marks for late submissions are capped at 40% for undergraduate programmes and 50% for postgraduate programmes, and submissions that are more than 14 days late will receive 0.

Revision Lecture

Revision Quiz, Solutions to the revision quiz
Additional Revision Questions (discussed in the revision lecture)

Additional Materials

J.W. Bruce, A Really Trivial Proof of the Lucas-Lehmer Test. The American Mathematical Monthly, 100(4): 370-371, 1993.

CrypTool  (Free software for exploring cryptography.)

circle inversion applet

pretty pictures

Past Exam Papers

sample paper 2011 pdf format solutions pdf format

  • sample paper page 1: Z+ is the set of positive integers which this year was denoted by N
  • sample paper page 4, Question 9.(a) i): should be 3 (mod 4)
  • sample paper page 4, Question 10.(d): should be (5/151)=1

exam paper 2011 pdf format solutions to the Number Theory questions pdf format

  • exam paper page 1: Z+ is the set of positive integers which this year was denoted by N
Department of Economics, Mathematics and Statistics, Birkbeck, University of London, Malet St, London WC1E 7HX.