Office Hours: Monday and Wednesday 11-12.

Email: kspiliop_at_math.bu.edu

Office hours: Tuesday 2:00-3:00 and Thursday 11:00-12:00 at MCS 145 (111 Cummington Mall-Mathematics and Statistics department).

Tutoring hour: Thursday 1-2pm

** Required Text:**
*A course in Probability*, Neil A. Weiss, Pearson

The class will be based mostly on the required text.

**Course Description:**
Basic probability, conditional probability, independence. Discrete and continuous random variables, mean and variance, functions of random variables,
moment generating function. Jointly distributed random variables, conditional distributions, independent random variables. Methods of transformations,
law of large numbers, central limit theorem. Cannot be taken for credit in addition to CAS MA 381.

**Prerequisites:** Undergraduate Prerequisites: CAS MA 225 or CAS MA 230; or consent of instructor.
Graduate Prerequisites: CAS MA 225 or CAS MA 230; or consent of instructor.

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.

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Assingment | Due Date | Assignment | Material Covered |

Homework 1 | Monday, February 2nd | Chapter 1. Exercises 1.4, 1.9, 1.16, 1.18, 1.31, 2.11, 2.24, 2.27, 2.44, 2.46 | Chapter 1, Chapter 2: Sections 1-2. |

Homework 2 | Friday, February 6th | Chapter 2: Exercises 2.67. Chapter 3: 3.7, 3.17, 3.26, 3.32, 3.63, 3.64 | Chapter 2 and 3. |

Homework 3 | Wednesday, February 11th | Chapter 4: 4.9, 4.11, 4.12, 4.19, 4.23, 4.31, 4.44 | Chapter 4: Sections 1-3. |

Homework 4 | Wednesday, February 18th | Chapter 4: 4.45, 4.47, 4.55, 4.68, 4.72, Chapter 5: 5.7, 5.14, 5.29 | Chapter 4: Sections 3-4. Chapter 5: Sections 1-2. |

Homework 5 | Wednesday, February 25th | Chapter 5: 5.45, 5.49, 5.62, 5.65, 5.70, 5.80, 5.84, 5.96, 5.97, 5.116 | Chapter 5: Sections 3-8 |

Homework 6 | Wednesday, March 4th | Chapter 6: 6.1a)b), 6.13, 6.28, 6.46, 6.52,6.63, 6.74, 6.90, 6.103, 6.108 | Chapter 6 |

Homework 7 | Wednesday, March 18th | Chapter 7: 7.5, 7.19, 7.36, 7.42, 7.47, 7.49, 7.64, 7.72, 7.98, 7.102 | Chapter 7: Section 1-4 |

Homework 8 | Wednesday, March 25th | Chapter 7: 7.119, 7.120, 7.126, Chapter 8: 8.3, 8.7, 8.16, 8.21, 8.33, 8.43, 8.67, 8.72 | Chapter 7: Section 5 and Chapter 8: Sections 1-4 |

Homework 9 | Wednesday, April 1st | Chapter 8: 8.94, 8.102, 8.105, 8.116, 8.120, 8.127, 8.146, 8.152 | Chapter 8: Sections 5-7 |

Homework 10 | Wednesday, April 8th | Chapter 9: 9.2, 9.9, 9.21, 9.25, 9.39, 9.45, 9.64, 9.67, 9.93, 9.94, 9.118, 9.121 | Chapter 9: Sections 1-6 |

Homework 11 | Wednesday, April 15th | Chapter 9: 9.148, 9.152, Chapter 10: 10.9, 10.13, 10.23, 10.29, 10.52, 10.61, 10.64, 10.78 | Chapter 9: Section 7, Chapter 10: Sections 1-4 |

Homework 12 | Monday, April 27th | Chapter 10: 10.103, 10.106, Chapter 11: 11.3, 11.5, 11.25, 11.26, 11.40, 11.41 (only parts a,b), 11.43 (only parts a,b,c and only if you feel like playing with simulation do parts d,e,f), 11.55 (only part b), 11.59, 11.64 | Chapter 10: Section 5, Chapter 11: Sections 1-4 |

Date | Assignment | Material Covered |

Wednesday FEBRUARY 25, 2015 9am-10am, regular class time | Midterm 1 | Chapters 1-5 (material covered in class) |

Wednesday APRIL 15, 2015 9am-10am, regular class time | Midterm 2 | Chapters 6-10 (material covered in class) |

Thursday, MAY 07, 2015 9:00am-11:00am CAS 314 | Final | TBA |

**Tentative grading policy:**
Your grade will be based on :(a) Homework (20%), (b) midterm 1 exam (25%), (c) midterm 2 exam (25%), and (d) final exam (30%). The grading
policy may change depending on the progress of the class.

**Exam & Homeworks:**

**Exams: ** There will be two midterm exams and one final exam. The exam material for each one of the 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 midterms.

** 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.