After successful completion of the course, students are able to...
reflect and explain the theory as well as to apply the learned skills in practice (this is a standard text, which will be updated during September 2019)
Kazamaki's and Novikov's criterion, stochastic Fubini theorem, stochastic differential equations (existence and uniqueness under Lipschitz conditions, Yamada-Watanabe condition for pathwise uniqueness), introduction to Markov processes, Doob-Meyer decomposition, local time of Brownian motion