This document describes the development of an autonomous underwater vehicle called Galatea that uses a bio-mimetic undulating fin propulsion system. The design involves four aspects: the hydrodynamic shape of the hull based on an airfoil, the undulating fin propulsion system, a control system to manually and eventually autonomously control the vehicle, and sensors for potential applications. Initial testing of the undulating fin propulsion in a rig provided insights into thrust generation relationships with variables like deflection, frequency, and wave number. Future work will involve further developing and testing the autonomous control system and sensors, as well as conducting particle image velocimetry tests to better understand the fluid dynamics of the undulating fin propulsion.