I am going to offer an elective course which I am free to design. The topic is a bit special, but we can assume I give a robotics course. I will teach a fair amount of probability theory which I need to solve problems in robotics. Therefore I have to teach both and there are, I think, two ways:
1. Teach probability theory first, then robotics.
This is what all my professors did as I was studying. The problem here is, that there is no concrete application to robotics at the time I teach probability theory. Examples are "made up" and so is the homework.
2. Teach robotics and introduce the necessary probability theory when needed.
The students see immediately why it is necessary to learn probability theory. They can directly apply the theory to solve their real problem in robotics. However, it interrupts the robotic topic. The first time I need (parts of) probability theory takes two weeks. Then we would do robotics again and apply the new concepts. Then, after 2/3 of the course comes probability theory again, as we need a further different topics to solve more problems. Maybe once more.
Are there any good resources on howto teach courses like this?