Okay, just to update: I sat down with the book, re-read the chapters and lecture notes, and just started doing exercises. I tried to justify the formulas on my own, and everything seems to boil down to being able to solve the simple differential equations.
Long story short, I feel I did fine on the exam. Of the 40-ish questions, there were only a few I did not answer.
When I said earlier that I wanted everything to be tied together, I meant that the different chemical branches, inorganic, organic, bio-, etc., would be tied together in physical chemistry, i.e. the very basics of chemical reactions. And I think the course redeemed my expectations. I appreciate how important this, and frankly, I'd like to do more of it!
Thanks again!
Anders