Math 180C
Introduction to Probability, III
Spring 2006
The introduction to stochastic processes begun in Math 180B continues in Math 180C
with the study of Markov chains in continuous time and renewal processes.
These topics generalize the notion of Poisson process in two different ways. We will then proceed to an introduction to the Brownian motion, one of the two building blocks of the subject of stochastic processes (along with the Poisson Process).
Time permitting, we will take up some topics in the theory of queues (waiting lines) as an application of the preceding material.
The required text for Math 180C is An Introduction to Stochastic Modeling(Third Edition) by H. M. Taylor and S. Karlin. I plan to discuss most of the material contained in chapters VI, VII, and VIII of the text, with selected topics from chapter IX.
- Lectures will be on Monday, Wednesday, and Friday, from 11 to 11:50 AM,
in HSS 2154.
- The discussion section meets on Wednesdays in Center 201 from 6 to 6:50 PM.
- Your course grade will be based on your performance on the midterm exam and
the final exam. These exams will be weighted as follows:
- Midterm 1: 35%
- Final: 45%
- In addition there will be weekly homework assignments which in total will
account for the remaining 20% of your grade.
These assignments will be due at 5 PM on Thursdays,
in the homework drop box outside APM 2325.
- The midterm exam will be given on Friday, May 5.
- The +/- grading system will be used for letter grades.
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March 31, 2006