Introduction to Stochastic Processes, II
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 (Fourth Edition) by
M. A. Pinsky and S. Karlin. I plan to discuss most of the material contained in chapters 6, 7, and 8 of the text, with selected topics from chapter 9.
- Lectures will be on Monday, Wednesday, and Friday, from 2 to 2:50 PM,
in Center Hall 113.
- The discussion sections meet on Wednesdays according to the following schedule:
Section A01: 6 PM to 6:50 PM, APM 7421
Section A02: 7 PM to 7:50 PM, APM 7421
Section A03: 8 PM to 8:50 PM, APM 7421
- Your course grade will be based on your performance on the two midterm exams and the
final exam. These exams will be weighted as follows:
You will have the option of substituting your final exam score for one of your midterm scores.
- Midterm 1: 20%
- Midterm 2: 25%
- Final: 40%
- In addition there will be weekly homework assignments which in total will
account for the remaining 15% of your grade.
These assignments will be due at Thursdays at 6 pm in your TA's homework drop box,
located in the basement of APM (turn left upon exiting the elevator or the stairwell);
homework may also be turned in at your section meeting on the Wednesday before the homework due date.
- The midterm exams will be given on the Friday of the fourth and eighth weeks of
the term (April 24 and May 22).
- The +/- grading system will be used for letter grades.
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March 27, 2015