Random numbers:

What is a pseudo-random number generator (pRNG)? What are the characteristics of a good pRNG? What is the purpose of using a seed? What is random walk? What is a Markov chain? Explain how to make a stochastic simulation of a Markov chain. What is the connection between the law of large numbers and stochastic simulations? What does it mean that a system is stochastic / deterministic Can one use stochastic simulations to determine deterministic properties?