Arbitrage theory in continuous time

The binomial model -- A more general one period model -- Stochastic integrals -- Differential equations -- Portfolio dynamics -- Arbitrage pricing -- Completeness and hedging -- Parity relations and delta hedging -- The Martingale approach to arbitrage theory -- The mathematics of the Martingale approach -- Black-Scholes from a Martingale point of view -- Multidimensional models : classical approach -- Multidimensional models : Martingale approach -- Incomplete markets -- Dividends -- Currency derivatives -- Barrier options -- Stochastic optimal control -- The Martingale approach to optimal investment -- Optimal stopping theory and American options -- Bonds and interest rates -- Short rate models -- Martingale models for the short rate -- Forward rate models -- Change of numeraire -- LIBOR and swap market models -- Potentials and positive interest -- Forwards and futures -- Measure and inegration -- Probability theory -- Martingales and stopping time