Course Weekly Lecture Plan

Week	Topic
1	Introduction, counting, elementary set theory
2	Probability axioms, conditional probability, independence
3	Discrete random variables, pmf, moments of random variables, conditional pmf
4	Important discrete distributions, functions of random variables
5	Continuous random variables, cdf, pdf, moments, conditional distributions
6	Important continuous distributions, functions of random variables
7	Multiple random variables, jointly Gaussian vectors
8	Probabilistic inequalities, laws of large numbers, central limit theorem
9	Characteristic function, generating function and transform methods
10	Stochastic processes, definitions, discrete-time processes
11	Mean, auto-correlation, stationarity, cross-correlation
12	Poisson, Markov, Gaussian and Wiener processes
13	Power spectral density, ergodicity
14	Response of linear systems to random signals