Office Hours: Thursdays 10:30-11:30 unless otherwise specified in class

Email: kspiliop_at_dam.brown.edu

Office hours: Tuesdays 10:30-12:30 in 182 George rm 00 (basement)

Recitation Session: Mondays 3-4:50 in B&H 165

** Required Text:**
*An Introduction to Stochastic Modeling*, Howard M. Taylor and Samuel Karlin, 3^{rd} Edition, Academic Press

** Recommended Texts:**

*A First Course in Stochastic Processes*, Howard M. Taylor and Samuel Karlin, 2^{nd}Edition, Academic Press*Stochastic Processes*, S.M. Ross, John Wiley & Sons, New York

**Course Description:**
Basic probabilistic problems and methods in operations research and
management science. Methods of problem formulation and solution. The course will cover basic
stochastic processes such as simple random walk, Markov chains, Martingales, Poisson processes,
and Brownian motion. It will also offer introductory level treatment to stochastic optimization
problems, such as optimal stopping and optimal control, based on dynamic programming principle.

**Prerequisites:** APMA 1650 or MATH 1610 or equivalent. The students are required to have a
solid understanding of basic probability and calculus.

I will try to follow the syllabus as closely as possible. However it may change depending on our progress. Any changes will be announced in class and posted here.

Assingment | Due Date | Assignment | Material Covered |

Homework 1 | Tuesday Feb 8th | ||

Homework 2 | Thursday Feb 10th | ||

Homework 3 | Thursday Feb 17th | ||

Homework 4 | |||

Homework 5 | |||

Homework 6 | |||

Homework 7 | |||

Homework 8 | |||

Homework 9 | |||

Homework 10 | |||

Homework 11 | |||

Homework 12 |

Date | Assignment | Material Covered |

Midterm | preliminaries, Chapters from the book | |

May, 18th at 02:00 PM | Final |

**Tentative grading policy:**
Your grade will be based on :(a) Homework (35%), (b) midterm exam (35%) and final exam (30%). The grading
policy may change depending on the progress of the class.

**Exam & Homeworks:**

**Exams: ** There will be one midterm exam and one final exam. The exam material for each one of the two exams will be announced in class and posted on the webpage of the course. The final exam will concentrate on the material that was taught from the previous test and then. However, I reserve the right to include a couple of questions from the material of the previous exam. Hence, make sure that you have learned from your mistakes.

** Homeworks: ** There will be several homeworks, both theoretical and more of applied flavor.
The due date of each homework will be announced in class and it will usually be 7-10 days after.
Needless to say, you should work on the homework on your own, unless otherwise instructed by me.
Late homeworks will be heavily penalized.

**Make-up policy:**
Make up exams will be given only in extreme circumstances, and only when
accompanied by appropriate documentation. Any student with a valid reason to be given a make up
exam must contact me prior to the exam, either by email or in person, and present documentation
at the next class session attended.