Date |
Syllabus |

2/26 |
Course Overview |

2/28 |
Peace Memorial Day |

3/5 |
Sample Space and Probability |

3/7 |
Conditional Probability |

3/12 |
Total Probability Theorem and Bayes' rule |

3/14 |
Independence and Counting |

3/19 |
Discrete Random Variable Basics and Probability Mass Functions
Review of Chapter 1 |

3/21 |
Quiz 1 |

3/26 |
Functions of Random Variables & Expectation, Mean and Variance |

3/28 |
Discussion on Quiz 1 |

4/2 |
Break |

4/4 |
Break |

4/9 |
Joint PMFs of Multiple Random Variables & Conditioning |

4/11 |
Independence |

4/16 |
Break |

4/18 |
Quiz 2 |

4/23 |
Continuous Random Variable Basics and PDFs & Cumulative Distribution Functions |

4/25 |
Discussion on Quiz 2 |

4/30 |
Midterm |

5/2 |
Discussion on Midterm |

5/7 |
Normal Random Variables & Joint PDFs of Multiple Random Variables |

5/9 |
Conditioning |

5/14 |
The Continuous Bayes' Rules
Derived Distributions |

5/16 |
Quiz 3 |

5/21 |
Covariance and Correlation & Conditional Expectation and Variance Revisited |

5/23 |
Discussion on Quiz 3 |

5/28 |
Transforms |

5/30 |
Sum of a Random Number of Independent Random Variables |

6/4 |
Least Squares Estimation |

6/6 |
Quiz 4 |

6/11 |
Markov Inequality, Chebyshev Inequality & The Weak Law of Large Numbers |

6/13 |
Discussion on Quiz 4 |

6/18 |
Dragon Boat Festival |

6/20 |
Break |

6/25 |
Final Exam |