teaching |

In the first term of 2012/2013 I taught an introductory course on number theory.

Samir Siksek taught a similar (although far from identical) course a few years ago, and you might want to have a look at his excellent lecture notes. Here are the exercise sheets for my course:

- Exercise sheet 1 - revision of divisiblity of integers, and some miscellaneous fun exercises.
- Exercise sheet 2 - congruences, Chinese Remainder Theorem, Fermat's Little Theorem, etc.
- Exercise sheet 3 - Euler's Theorem, primitive roots.
- Exercise sheet 4 - quadratic residues, quadratic reciprocity.
- Exercise sheet 5 - p-adic numbers.
- Exercise sheet 6 - more p-adic numbers, geometry of numbers and quadratic forms.
- Exercise sheet 7 - Hensel's lemma, ternary and binary quadratic forms.
- Exercise sheet 8 - Positive definite binary quadratic forms.