I've taken/audited all of Prof. Mezic's graduate courses. He is quite enthusiastic about the material, especially those aspects he has worked on. He consistently tries to make the mathematically abstract machinery of his classes accessible and relatable to students new to the game.

Dr. Mezic is always trying to relate presented materials to the real-world problems which is a nice way to understand not always easy mathematical formulations. Though the materials are difficult and you will need to put some effort into it, if you will be dealing with dynamical systems in your future career, you cant miss with this course.

The class can be tough without a good math background. He lectures mostly out of his own book/notes, so if you can follow those the class shouldnt be too hard. He cares a lot about about the subject; a lot of the material is his own research and he clearly takes pride in it.

The class is very Math-oriented but truly fascinating, especially if you have enjoyed previous standard nonlinear dynamics courses. It is a unique opportunity to learn cutting-edge advanced topics from one of the main experts in the field. Prof. Mezic uses notes from a textbook that he is writing, so you won't need to buy one.