Stochastic Processes STA 5643 (Fall 1999) Instructor: Dr. Ming-Ying Leung Office: SB 4.01.22, Phone: 458-5535 Email: mleung@utsa.edu Internet: http://www.math.utsa.edu/~leung/ Office Hours: TR 11:00 am - 12:30 pm or by appointment Text: "Stochastic Processes", 2nd Edition, by Sheldon Ross Course Objective: To introduce the mathematical concepts of stochastic processes as a collection of random variables, and their applications as probabilistic models in sciences and engineering. Course Description: This course will cover Poisson processes, renewal theory, Markov chains and Markov processes. Applications in queuing theory, analysis of algorithms, and molecular genetics will be discussed if time permits. Syllabus: Chapter 1 Preliminaries in probability Chapter 2 Poisson process Chapter 3 Renewal theory Chapter 4 Markov chains Chapter 5 Continuous-time Markov chains Grading: Homework: 40% (Due in class every Thursday except on exam dates) Exam 1: 20% (In class Thursday, 9/30) Exam 2: 20% (In class Thursday, 11/4) Take Home Final: 20% (Due Tuesday 12/14 by 7:45 pm.) NO MAKEUP EXAM will be given except for emergency or medical reasons. In such cases, the student should submit a written request accompanied by official documents to arrange for a makeup test. Overdue assignments will only be accepted for a good reason. However, the instructor reserves the right to discount part or all of the credit for any late homework. LAST DAY TO DROP an individual course is 10/29/99.