Detailed syllabus (definitions and theorems) is here: [pdf]
Lecture manuscript (version 2016) can be found here.
Lecture notes on Carathéodory theory (final version) are here. Czech (older) version is here.
Recommended literature is here. References to some deeper results we use are here.
Concerning the practicals, see our collection of problems pcODR. Past and future assignments are here.
Information about completing the course is here.