Problem set 1

The exercises for this problem set are 1.1, 1.2, 2.1, 2.2, 2.3, 2.4 and 2.5 in Yuri's exercise book. if you have any questions prior to the tutorial session, please leave a comment here.

In the tutorial session, we go through most of the exercises, hopefully by having volunteers at the blackboard. Everyone is encouraged to contribute to the discussion, not only the person at the blackboard.  This should provide an open and friendly environment where everyone gets the most out of everyone else's insights. 

The media file is an animation of a random walker trapped inside the silhouette of a man's face (it's not Boltzmann, but you can pretend it is if you like). You can get the code here. How many steps does the walker need to fill out the silhouette satisfactorily (you have to define what this means yourself)? The image is (301,263) pixels and each step is one pixel long in each dimension.