Office Hours: Tuesday and Thursday 1-2PM.

Email: kspiliop_at_math.bu.edu

Office hours: Tue 4:00 -5:00pm and Wed 2:30 -3:30pm at MCS B24.

Tutoring hour: Tue 3:00 -4:00 at MCS B24.

** Required Text:**
*An Introduction to Stochastic Modeling*, Mark Pinsky, Samuel Karlin, 4^{th} 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.

**Prerequisites:** Undergraduate Prerequisites: CAS MA 581 or CAS MA 381; or consent of instructor.
Graduate Prerequisites: CAS MA 581; or consent of instructor. 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 | Thursday, January 31st | Chapter 1: Exercises 1.2.4, 1.2.9, 1.3.5 and Problems 1.4.2(part (a) only), 1.5.2. Chapter 2. Exercises: 2.1.5, Problems: 2.1.1, 2.1.7 | Chapter 1 (review), Chapter 2: Sections 1-2. |

Homework 2 | Thursday, February 7th | Chapter 2: Exercises 2.3.5, 2.4.5 and Problems 2.3.3, 2.4.3, 2.4.7, 2.5.1, 2.5.3. | Chapter 2: Sections 3-5. |

Homework 3 | Thursday, February 14th | Chapter 3: Exercises 3.3.2, 3.4.3, 3.4.7 Problems 3.2.4,3.3.8, 3.4.6, 3.4.17 | Chapter 3: Sections 1-4. |

Homework 4 | Thursday, February 21st | Chapter 3. Exercises 3.5.2, 3.6.4, 3.8.1 and Problems 3.5.2,3.5.5,3.6.7, 3.6.8, 3.8.3, 3.9.3 | Chapter 3: Sections 5-9. |

Homework 5 | Thursday, February 28th | Chapter 3: Exercises 3.9.2 and Problems 3.9.6,3.9.7, Chapter 4: Exercises 4.1.3,4.1.4,4.1.10 and Problems 4.1.5, 4.1.6, 4.1.10, 4.2.3 | Chapter 3: Sections 9, Chapter 4: Sections 1-2 |

Homework 6 | Tuesday, March 5th | Chapter 4: Exercises 4.3.1, 4.3.2 and Problems 4.3.2 | Chapter 4: Section 3 |

Homework 7 | Thursday, March 28th | Chapter 4: Exercises 4.4.2, 4.5.1 and Problems 4.4.1,4.4.7, Chapter 5: Exercises 5.1.1, 5.1.4, 5.1.6 and Problems 5.1.6,5.1.7,5.1.10 | Chapter 4: Section 4, Chapter 5: Section 1 |

Homework 8 | Thursday, April 4th | Chapter 5: Exercises 5.3.8, 5.4.5, 5.6.2 and Problems 5.2.1, 5.3.3,5.3.10, 5.4.4, 5.4.6 | Chapter 5: Section 2-6 |

Homework 9 | Thursday, April 11th | Chapter 5: Problems 5.4.7, 5.6.10. Chapter 6: Exercises 6.1.3, 6.1.5 and Problems 6.1.3, 6.1.4, 6.1.5, 6.1.8 | Chapter 5: Section 5-6, Chapter 6: Section 1 |

Homework 10 | Thursday, April 18th | Chapter 6: Exercises 6.3.1, 6.4.1, 6.4.5 and Problems 6.2.2, 6.3.1, 6.3.2, 6.3.3 (for this problem use the result of Exercise 3.3), 6.4.2, 6.4.5, 6.5.2 | Chapter 6: Sections 2-5 |

Homework 11 | Thursday, April 25th | Chapter 6: Problems 6.6.2, Chapter 7: Exercise 7.1.4, 7.2.2, Problems 7.1.2, 7.1.3, 7.3.2, 7.3.5 | Chapter 6: Section 6, Chapter 7: Sections 1-3 |

Homework 12 | Thursday, May 2nd | Chapter 7: Problems 7.4.1, Chapter 8: Exercise 8.1.2, 8.1.5a), 8.4.2, 8.4.5, Problems 8.1.3, 8.2.4, 8.4.7, 8.4.9 | Chapter 7: Section 4, Chapter 8: Sections 1-4 |

Date | Assignment | Material Covered |

Thursday, March 7TH, 09:30am-10:30am, regular class time | Midterm | Chapters 1-4 (material covered in class) |

Wednesday May 8th, 9:00am-11:00am | Final | EPC 207 |

**Tentative grading policy:**
Your grade will be based on :(a) Homework (30%), (b) midterm exam (30%) and final exam (40%). 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 be cummulative. Hence, make sure that you have learned from your mistakes of the midterm.

** 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.
The lowest homework will be dropped if you participate in class. Late homeworks will NOT be accepted.

**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.