Introduction to Stochastic Processes, I
This course is an introduction to some basic topics in the theory of stochastic processes. After finishing the discussion of multivariate distributions and conditional probabilities initiated in Math 180A, we will study Markov chains in discrete time. We then begin our investigation of stochastic processes in continuous time with a detailed discussion of the Poisson process. These two topics will be combined in Math 180C when we study Markov chains in continuous time and renewal processes.
We shall be using the Math 180A text (PROBABILITY by Jim Pitman)
at the beginning of the term, but the required text for Math 180B (and 180C)
is An Introduction to Stochastic Modeling (Fourth Edition) by M. Pinsky and S. Karlin. I plan to discuss most of the material contained in chapters 3, 4, and 5 of the text; the first two chapters contain review material.
- Lectures will be on Monday, Wednesday and Friday, from 3pm tp 3:50 pm, in CSB 002.
- Discussion sections with your TA meet on Mondays according to the following schedule:
Section A01: 4 PM to 4:50 PM, Center Hall 217B
Section A02: 5 PM to 5:50 PM, Center Hall 217B
Section A03: 6 PM to 6:50 PM, APM B402
- 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:
- 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 on Tuesdays 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 Monday before the homework due date.
- The midterm exams will be given on February 1 and March 1.
- The +/- grading system will be used for letter grades.
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January 7, 2013