1 
Permutations and combinations 

2 
Multinomial coefficients and more counting 

3 
Sample spaces and set theory 

4 
Axioms of probability 

5 
Probability and equal likelihood 
Problem set 1 due 
6 
Conditional probabilities 

7 
Bayes' formula and independent events 

8 
Discrete random variables 
Problem set 2 due 
9 
Expectations of discrete random variables 

10 
Variance 

11 
Binomial random variables, repeated trials and the socalled Modern Portfolio Theory 
Problem set 3 due 
12 
Poisson random variables 

13 
Poisson processes 

14 
More discrete random variables 
Problem set 4 due 
15 
Continuous random variables 

16 
Review for Midterm Exam 1 

17 
Midterm Exam 1


18 
Uniform random variables 

19 
Normal random variables 

20 
Exponential random variables 
Problem set 5 due 
21 
More continuous random variables 

22 
Joint distribution functions 

23 
Sums of independent random variables 
Problem set 6 due 
24 
Expectation of sums 

25 
Covariance 

26 
Conditional expectation 
Problem set 7 due 
27 
Moment generating distributions 

28 
Review for Midterm Exam 2 

29 
Midterm Exam 2 

30 
Weak law of large numbers 

31 
Central limit theorem 
Problem set 8 due 
32 
Strong law of large numbers and Jensen's inequality 

33 
Markov chains 

34 
Entropy 
Problem set 9 due 
35 
Martingales and the Optional Stopping Time Theorem 

36 
Risk Neutral Probability and BlackScholes 

37 
Review for Final Exam 
Problem Set 10 due, plus martingale note 
38 
Review for Final Exam 

39 
Review for Final Exam 

40 
Final Exam 
