This is the ODE course held at Kyushu University during Autumn 2018. The students learn by utilising freely-available online content in addition to notes from the teacher to work through challenges contained in a PDF file. The intention is to take the students from "beginner" to "experienced" by working through the challenges in sequence.
The latest version of the PDF can be downloaded here.
The course is constantly being developed. Suggestions and corrections are very welcome. Content is licensed with creative-commons CC BY-NC 4.0.
The course website can be found at: http://www.jamescannon.net/teaching/ordinary-differential-equations/
This would not have been possible without the free content made available by Paul, Zachary Tseng and the team behind Khan academy, amongst others.