The solar car project is given as a course at Jönköping University (JTH). You as a student at Jönköping University can apply for it as an independent course to study alongside your program. This applies regardless of which program you study and at which faculty. To be eligible to apply, only 60 credits of completed studies are required. The project is given as two parallel courses, where one is about design and the other about project management, entrepreneurship, and marketing. The entire project is divided into four separate courses that are read at 25% and 50%, and one course runs over the course of one semester.
You can read more about the course here.