**Instructor**

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

Chow Chi Wang, cwchow (a) cse.cuhk.edu.hk, SHB 117, office hour Wed 3-4

Lee Chin Ho, chlee (a) cse.cuhk.edu.hk, SHB 117, office hour TBA

**22 May**The final exams were graded and the grades were posted on moodle. The median grade is 57. Please notify us of any discrepancy as soon as possible.

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 15 Jan 17 |
Introduction. Combinatorial analysis | §1.1-1.4 | ppt py |

2 | Jan 22 Jan 24 |
Axioms of probability I | §2.1-2.5 | ppt py |

3 | Jan 29 Jan 31 |
Axioms of probability II | §2.5 | ppt py |

4 | Feb 5 Feb 7 |
Conditional probability | §3.1-3.3 | ppt |

Feb 12 Feb 14 |
No class, spring festival |
|||

Feb 19 Feb 21 |
Review 1Midterm exam 1 |
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5 | Feb 26 Feb 28 |
Conditional probability and independence | §3.3-3.4 | ppt py |

6 | Mar 5 Mar 7 |
Random variables I | §4.1-4.4 | ppt py |

7 | Mar 12 Mar 14 |
Random variables II | §4.5-4.7, 4.9 | ppt py |

8 | Mar 19 Mar 21 |
Continuous random variables | §5.1-5.3, 5.5 | ppt py |

Mar 26 Mar 28 |
Review 2Midterm exam 2 |
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9 | Apr 2 Apr 4 |
Jointly distributed random variables | §6.1-6.3 | ppt |

10 | Apr 9 Apr 11 |
Properties of expectation | §7.1-7.2, 7.4, (7.5) | ppt |

11 | Apr 16 Apr 18 |
Limit theorems | §8.1-8.3 | ppt |

12 | Apr 23 Apr 25 |
Finish limit theorems; course evaluation | ||

May 20 |
Final exam at 9.30 in 103 John Fulton |

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 your TA know in advance.

- Homework 11 (Tue Apr 23) | solutions
- Homework 10 (Tue Apr 16) | solutions
- Homework 9 (optional) | solutions
- Homework 8 (Tue Mar 26) | solutions
- Homework 7 (Tue Mar 19) | solutions
- Homework 6 (Tue Mar 12) | solutions
- Homework 5 (Tue Mar 5) | solutions
- Homework 4 (Tue Feb 19) | solutions
- Homework 3 (Tue Feb 5) | solutions
- Homework 2 (Tue Jan 29) | solutions
- Homework 1 (Tue Jan 22) | solutions

You can log into the ENGG 2040C discussion forums using your campus ID and CWEM password.

**Lecture times**Tue 5.30-6.15 and Thu 12.30-2.15 in LSB LT6**Tutorials**Tutorial attendance and participation will count towards your grade. You are required to attend the same tutorial section every week.**Prerequisites**Discrete mathematics (CSCI 2110).**Textbook**The textbook for this course is*A first course in probability*, eighth edition, by Sheldon Ross. It is available in the campus bookstore.**Grading**Your grade will be determined from two midterm exams (40%), and a final exam (40%), and attendance, participation, and homework presentation (20%).