AM 120 Tentative Course Outline

The fundamental topic of this course is random (or "stochastic") motion.  Such motion is modeled by what are called stochastic processes.  The stochastic processes studied in the course are in some sense the simplest possible ones, namely, finite and countable state Markov chains.  We will study many aspects of Markov chains: how they are used to model "real life" situations, their qualitative properties, how to compute with Markov chains, and how to control and regulate random processes.  As two main examples of the use of Markov chains, some time will be spent on their application to problems of speech recognition and pricing of options.  A significant component of the course will be a computational project, which can be on either of these topics or one of the student's own choosing.

A preliminary and rough breakdown of the course is as follows.
Some key dates for the course are as follows.