[sidrajaram]

The first year or two of math (and physics, and to some degree, CS) are roughly standardized. There are variations, not only across colleges, but within the same college (honors vs. non-honors, calculus for business, calculus for pre-meds who won't take any more math), and among professors teaching different sections of the same class even. But to a first order of magnitude...roughly the same stuff.

Many American students have often taken a year or so of calculus (sometimes more) before starting. But these are so-called "Advanced Placement" (or AP) classes which are considered "college-level" (even though at top colleges, this is basically a requirement to get in). At less competitive/less technically focused colleges/programs however, most students may not have taken it.

You can think of AP as an equivalent of A-levels in the UK. I'm not sure if calculus concepts are A-level or not? But either way, from what I know of UK education, you can get by not taking mathematics A-level...it's the same for AP mathematics here.