Introduction to Probability Theory and Stochastic Processes
Week 1 : Basics of Probability
Week 2 : Random Variable
Week 3 : Moments and Inequalities
Week 4 : Standard Distributions
Week 5 : Higher Dimensional Distributions
Week 6 : Functions of Several Random Variables
Week 7 : Cross Moments
Week 8 : Limiting Distributions
Week 9 : Introduction to Stochastic Processes (SPs)
Week 10 : Discrete-time Markov Chains (DTMCs)
Week 11 : Continuous-time Markov Chains (CTMCs)
Week 12 : Simple Markovian Queueing Models