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
  • 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