The master in HCI of the University Toulouse III Paul Sabatier is a degree in Computer Science that aims to educate specialists in HCI that are able to develop interactive systems that match user needs. A particularity of the this master in HCI compared to other ones in France or in the world is that it implements a large set of courses dedicated to the engineering of interactive systems. This set of courses belongs to a curriculum in engineering interactive systems and distributes amongst the 2 years of the degree following a progression in level of knowledge and skills. This paper presents this curriculum in engineering interactive systems, its motivations, and the pedagogical approach implemented for the curriculum.