The course will closely follow the course textbook:

Required Text: Sheldon Ross, Introduction to Probability Models, tenth edition, Academic Press, New York. (This edition came out at in 2010. It would be OK to use the previous edition.)

• The first two weeks: Chapters 1-3: a review of probability theory.

• The next few weeks, leading up to the first midterm exam: Chapter 4: discrete-time Markov chains (DTMC's).

• The middle portion of the course, leading up to the second midterm exam: Chapters 5 and 6: the exponential distribution, Poisson process and continuous-time Markov chains (CTMC's).

• The final part of the course, leading up to the final exam: Chapters 7 and 10: renewal processes and Brownian motion.