Reddit reviews Applied Partial Differential Equations (Oxford Texts In Applied And Engineering Mathematics)

I think it depends what kind of PDEs you're going to be doing really. If you're just looking at physicsy things like Laplaces equation, the heat equation and the wave equation then a methods book might be good. My personal choice would be this one but there is a lot of choice out there.

If it's a slightly higher level PDEs course (doing stuff like method of characteristics and conservation laws) then either this dover book or this book were the two recommended texts for my upper undergrad course on PDEs. The second is also recommended on a grad course I'm doing come september, and has loads of material in the book.

If you could give some more details of the course I could probably help you pick one of these easier. :)