Even though extremes seem to occur more often in recent times, they are by definition rare events. This poses challenges on the modeling and prediction of these processes, as we have only few samples. This class is meant as a gentle introduction into extreme value theory in the uniand multivariate case. Different examples and approaches to fit models to heavy tailed distributions were shown and extensions shown to flexibly fit multivariate distributions. Models were discussed, and their implications in a spatial and spatio-temporal context. The second part of the class was devoted to a R-based hands-on session to apply the taught approaches to own data sets or demo data.