ISE 429
Probability and Stochastic Processes
Mathematical foundations of probability and stochastic processes for modeling and analyzing real-world phenomena. Modeling and analyzing systems that evolve over time, such as queueing systems. Topics include probabilistic models, fundamental theorems of probability, conditional probability, independence, random variables, distribution functions, laws of large numbers, martingales, Markov chains, Poisson processes, and Brownian motion.
Topics
- probabilistic models
- fundamental theorems of probability
- conditional probability
- independence
- random variables
- distribution functions
- laws of large numbers
- martingales
- Markov chains
- Poisson processes
- and Brownian motion
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027