The human brain imaging community is increasingly adopting connectivistic views for many more complex psychobiological processes. Electroencephalographic (EEG) and Magnetoencephalographic (MEG) signals directly result from temporally coherent neural activity, and naturally distinguish processes organized in time and frequency. However, the physics of these signals can entail possible fallacies in the connectivity analysis, which must be avoided. This full-day educational course will give a comprehensive overview on the current state-of-the-art of analysis of EEG- and MEG-based connectivity. After introducing the physical background of EEG and MEG signals and the currently available models for source imaging and signal decomposition, we will present the established methods and emerging views to come to integral and multiscale accounts of brain functional connectivity within and across measurement modalities, such as cross-frequency interactions and scale-free dynamics. Particular care will be taken to make the audience aware of their possibilities to employ robust and state-of-the-art connectivity methods for basic and clinical applications.