Just ask yourself: “What do I want to learn?”. This is a good time to start learning something new, something that interests you.
Do not worry about equations and the mathematical background, if you have any doubts about this. If you’re wondering where are these topics applied in real life, please visit the research page.
Computers are useful tool for enabling new engineering efforts. Developing algorithms to handle meshes and physics is quite exciting, and essential in modern graphics.
The available data exceeds the capabilities of a laptop, but it is highly redundant. We need to compress it, remove useless bits, and optimize data structures for modern architectures, without resorting to an expensive cluster.
Non linear elastic heart animation with Finite Elements.
Cache-oblivious data structures on power dissipation.
Out-of-core DNA analysis on mobile devices.