Instructor: Jiayi (Jay) Chen

Course on canvas.dartmouth.edu.

Syllabus

Week Topic
1
  • Sample spaces, events, outcomes
  • Probabilities defined on events
  • Discrete probability distributions
2
  • Continuous probability densities
  • Permutations
3
  • Combinations
  • Important Distributions
4
  • Important Densities
  • Discrete Conditional Probability
5
  • Midterm exam
6
  • Continuous Conditional Probability
  • Expected Value and Variance
7
  • Expected Value and Variance
  • Sums of Random Variables

8

  • The law of large numbers
  • The central limit theorem
9
  • Markov Chains
10
  • Final