1. The History of Options -- From the Middle Ages to Harrison and Kreps

2. The Harrison-Pliska Story (and a little bit more)

a. Some continuous time stock price models

b. Alternative justification of the Black-Scholes formula

c. The preliminary security market model

d. Economic considerations

e. The general security market model

f. Computing the martingale measure

g. Pricing contingent claims (European options)

h. Complete markets

i. American options