Course Objectives: The main objective of this course is to develop awareness for the use of stochastic models for representing random phenomena evolving in time such as Poisson, Renewal, Branching, Queueing, and Brownian motion process.

Course Learning Outcomes: 

After successful completion of this course, students will be able to: 

1. Understand the concepts of Stochastic processes. 

2. Understand the concepts of Markov chains, classification of its states, and limiting probabilities. 

3. Understand continuous-time Markov chains, Poisson processes, and its generalizations. 

4. Understand the branching processes, various queueing models, and the Brownian motion process.