It's not an introductory text in Signals and Systems, Communications Systems, and Linear Control Systems. If you've already had those courses, maybe a short review book such as Signals and Systems Made Ridiculously Simple could help to clarify the core ideas.
Multivariate calculus is important for EM work (so, radios, antenna design, propagation, etc). Your Electromagnetic Fields I will want you to be a ninja at this stuff.
The Laplace, Fourier, and Hilbert transforms are all really important - especially Laplace! You'll want to be comfortable with improper integrals in one dimension. The Laplace transform is useful for solving differential equations algebraically; Fourier is used similarly (both involve transforming your problem from the time domain into the frequency domain) - it looks like you'll be using them in your Circuits II course, as well as Signals and Systems. By the way, I used Signals and Systems Made Ridiculously Simple for my school's version of your S&S course - don't bother buying it, but definitely check it out from the school's library.
Incidentally, I'm a little confused that you don't take linear algebra until the end of your junior year. Matrix algebra is supremely useful for engineering (try solving a 5-loop circuit by hand without it - I'll wait) and the proofy side of linear algebra gives a tremendous amount of intuition as to why certain things are the way they are. If you're feeling unnaturally motivated, you might want to investigate it a little yourself.
I used this book to get a high level overview of my signals class:
http://www.amazon.com/Signals-Systems-Made-Ridiculously-Simple/dp/0964375214
Much less math then the much used Oppenheim books, I'd read a bit in that book then check the Oppenheim books if I needed more detail /something specific.