I'm currently a student Canada and I'm considering transferring to an American school next year for engineering. What's all this talk about Calculus I, II, III, IV, etc? Does the states have a unified calculus curriculum for all the universities? In Canada, our universities go by their own course codes and it's very different. Can anyone tell me what does each course teach? I reckon Calculus I is differential calculus and basic integration, II is integration and series, III is vector and multivar, IV is ODEs?
If so, I've taken IB Math HL in high school which I guess covers Calculus I and II. And I've also taken vector and multivariable calculus in first year university as well as linear algebra. Except, I haven't been formally taught series in university yet even though I'm already past vector and multivariable calc. I've been taught it in high school but I've forgotten a large portion of it. Will I be in a big disadvantage if I transfer to somewhere in the States and am expected to know series?