**Instructor**

Andrej Bogdanov, andrejb (a) cse.cuhk.edu.hk, SHB 926, office hours Fri 10.30-12.30**Teaching Assistant**

Gary Sham, yhsham (a) cse.cuhk.edu.hk, SHB 117, office hour TBA

**13 May**The final exam was graded. The median grade is a 59 out of 100. Enjoy your summer!

Engineers often have to deal with uncertainty. When we design a bus schedule, we don't know how many people will be waiting at the stop. When we set up a computer network, we don't know which servers will experience a power failure. Probability is the mathematics that allows us to model and make decisions about scenarios that involve uncertainty. In this course we will learn about probabilistic models and how to solve them.

date | topic | readings | lecture | |
---|---|---|---|---|

1 | Jan 7 Jan 9 Jan 14* |
Combinatorial analysis | §1.1-1.4, 1.6 | ppt py |

2 | Jan 16Jan 21* |
Axioms of probability I | §2.1-2.5 | ppt py |

3 | Jan 23Jan 28* |
Axioms of probability II | §2.5 | ppt py |

Jan 30 Feb 4 |
No class, spring festival |
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4 | Feb 6Feb 11* |
Conditional probability | §3.1-3.3 | ppt |

Feb 13 |
Midterm exam 1 |
|||

5 | Feb 18 Feb 20 Feb 25* |
Conditional probability and independence | §3.4 | ppt |

6 | Feb 27Mar 4* |
Random variables I | §4.1-4.4 | ppt |

7 | Mar 6Mar 11* |
Random variables II | §4.5-4.7, 4.9 | ppt py |

8 | Mar 13Mar 18* |
Continuous random variables | §5.1-5.3, 5.5 |
ppt |

Mar 20 |
Midterm exam 2 |
|||

9 | Mar 25 Mar 27 Apr 1* |
Jointly distributed random variables | §6.1-6.3 | ppt py |

10 | Apr 3Apr 8* |
Properties of expectation | §7.1-7.2, 7.4, (7.5) | ppt |

11 | Apr 10Apr 15* |
Limit theorems | §8.1-8.3 | ppt py |

12 | Apr 17 | The probabilistic method | ppt | |

May 13 |
Final exam |

* Reserved for presentation and discussion of homework solutions

Homeworks will be issued on Friday every week and will be discussed in tutorials on the following Monday. Feel free to ask any questions about the homeworks there.

You will *not* turn in your homework solutions for grading. However some of you will be called upon to present solutions in class on Tuesday. Your solution will then be discussed among your classmates.

This presentation will count towards your grade. Students will be selected to present *randomly with repetition*. This means you may be called to present at any time, and more than once. It is important that you show up in class every week and that you are prepared to present solutions to (most of) the problems for that week. If you cannot make it to class on any particular week, let us know in advance.

You can use the ENGG 2040C discussion board on the CU e-learning system to ask questions and participate in online discussions related to the course.

**Lecture times**Tue 5.30-6.15 in Li Dak Sum 214 and Thu 12.30-2.15 in Y. C. Liang Hall 106.**Tutorials**Mon 8.30-9.15 in ERB 402. Tutorial attendance and participation will count towards your grade.**Prerequisites**Discrete mathematics and calculus.**Textbook**The textbook for this course is*A first course in probability*, ninth edition, by Sheldon Ross. It is available in the campus bookstore.**Grading**Your grade will be determined from two midterm exams (40%), a final exam (40%), and attendance, participation, and homework presentation (20%).