What undergraduate course should you take if you want to work with and develop cutting edge technology?

Don't limit yourself to 1 course. Instead, take 1 program of 30 courses leading to a Bachelor's Degree in Engineering. If not the mechanical discipline, then electrical. Feel free to pick up additional electives from the other disciplines to round out what you can do - I'm sure the school will be happy to have extra tuition :) - choose the extras well, and it could turn into a masters degree.