I was wondering what are the topics that a high school graduate needs to learn to become an competent Robotics/AI engineer. I am not in high school, about to finish my undergrad in hardware and software engineering. However, I want to spend the next couple years to learn/review the topics in my free time while working full time.

Here is what I have so far: http://pastebin.com/0igsB7iy

Also in addition to adding topics, if you have any suggested books. I would appreciate it.