This document provides a tutorial on core network mobility functionality in Long Term Evolution (LTE) networks. It begins with an introduction to mobile broadband and the evolution of cellular networks. It then describes the Evolved Packet System (EPS) architecture, including the connection of radio access networks to the Evolved Packet Core (EPC). It explains the EPC components and their roles in mobility management and traffic management. The document then covers procedures for mobility within the EPC like attach, tracking area updates, and detach. Finally, it describes the procedures for mobility between radio access technologies, specifically inter-RAT handovers between LTE, UMTS, GERAN and between each other.