Riemann integral and Riemann stieltjes and their challenges .

Discrete-time course of action: Doob decomposition, Halting moments and Markov procedure.
Brownian motion: stochastic course of action, wiener procedure, halting time,
Applications of Brownian motion and stochastic approach.
Stochastic integral, Girsanova theorem.
ITO Method: its dilemma and applications
Stochastic Differential equation.


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