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1) Statistical Mechanics and Thermodynamics:

- Are there any good preparatory resources for this class that anyone knows of, bonus points if they're free or super cheap?
- Having taken all the calculuses...calculii?? ...and diff eq should I be ready for this course as far as the math is concerned? Also, I haven't taken probability theory yet, but I am assuming the modeling class will cover this type of thing; and analytical chemistry does cover some probability theory such as standard deviation, median, mean, and error treatment methods as well as several of the various statistical tests.
- What should I expect from this course, what are some typical real world applications of this type of physics? Would it be something like all the molecules or atoms in a system should behave in some way and we can assume that overall the system should behave in some other way based on what we've sampled plus some statistical analysis?

- I have no idea what this is exactly. I hear it's about discontinuities and involves proofs, but other than that I'm not sure what discrete math is used for.
- Again, any preparatory resources would be awesome.
- What kinds of applications are there to discrete math?

- The course catalog doesn't really say much about this course and I am wondering is this Newtonian mechanics or will it be Hamiltonian, or both?
- Same as the other two, are there any good books that I can get for this subject before I actually take it.

- In chemistry it's pretty clear what the labs are for and why, but again the course catalog isn't too forthcoming in what I should expect for this class. There is a lecture portion and a lab portion, but I'm guessing this is sort of like analytical chemistry where you learn to use the tools of the trade.