The theory of weakly coupled oscillators has been widely used to study the synchronization properties of neuronal networks. The theory allows one to significantly reduce the complexity of neuronal and synaptic dynamics, making it possible to identify some of the mechanisms that shape network activity. Not surprisingly, there are several assumptions that must hold for the theory to apply quantitatively. In this talk, I will give a tutorial on the theory of weakly coupled oscillators, pointing out the assumptions in the theory. I will then pose the question: Do these assumptions hold in neuronal networks that display epileptiform activity?