Week		Topic
1-2		Probability, Random Variables		Sample space, Fundamental theorems of probability, Measurability, Random variables.
3-4		Expectation, Distribution Function, Conditional Expectation		Definition of expectation, distribution function, different properties of these functions using Monotone Convergence Theorem, Dominated Convergence Theorem etc.
5-8		Stochastic Process		Definition of stochastic process, Markov Chain