A 75 MeV racetrack microtron is being designed and constructed at the Eindhoven University of Technology. This microtron will serve as injector for the storage ring EUTERPE. The microtron contains two inhomogeneous bending magnets which are rotated in the median plane. In this paper we will present the optical design of the machine using a first order matrix theory to describe the focusing forces, including fringe field effects. Optimization of the machine acceptance in the horizontal and vertical plane yields the optimum shape of the magnet poles, which are currently under construction. The results from matrix theory are verified by numerical orbit tracking using the measured field map. Also an analysis of the effect of alignment errors will be given.