Instructor: yao Xiao
Course on canvas.dartmouth.edu.⇗
Syllabus
Week |
Topic |
1 |
- 1.2: Sample spaces, events, outcomes
- 1.3: Probabilities defined on events
- 1.4: Conditional probabilities
|
2 |
- 1.5: Independent probabilities
- 1.6: Bayes' formula
- 2.1: Introduction to random variables
|
3 |
- 2.2: Discrete random variables
- 2.3: Continuous random variables
|
4 |
- 2.4: The expected value
- 2.4: The variance
|
5 |
Midterm exam |
6 |
- 2.5: Jointly distributed random variables
- 2.5: Joint distribution functions
|
7 |
- 2.5: Independent RVs
- 2.5: Covariance and variance of sums of RVs
|
8 |
- 2.8: The law of large numbers
- 2.8: The central limit theorem
|
9 |
- Applications of the central limit theorem
|
10 |
|