Whether it's "biological emphasis", "economics emphasis", "physical emphasis", etc, it's not going to make a profound difference. It's not like you're going to need to know much more about biology, economics, or physics, to do those respective courses, in most cases. Usually, the "physical emphasis" course is the most difficult, because it is designed for people who will continue to do more math. Whereas a calculus course for students in the biological sciences is designed for people whose primary focus isn't math. From what I've seen the business calc courses are by far the easiest, and then the "physical science/engineering" calc is usually slightly more challenging than the biological emphasis. But returning to my original point, there often isn't much of a difference. Certainly nothing to warrant having a separate textbook. It's more like some word problems might use biological terms that you don't need to understand to get the question correct. Or in the "physical emphasis" they might do a small unit at the end of the course where you use terms like "moment of inertia" and "density" to describe equations and ideas you've already absorbed.
Although it would be awesome to have a calculus course truly devoted to mathematical biology, etc!
Deadly: I would check to see if this college/university has a first year "honours" calculus course. If they do, you will probably get the most out of that. You'll learn delta-epsilon proofs and other things that won't be taught in standard courses.
