I would recommend against worrying about analysis for now, if you're just beginning to study calculus. Complex analysis does the same thing for complex functions, and functional analysis does it for functionals, and so on. Calculating slope of tangent line using derivative definition Differential Calculus Khan Academy. Real Analysis, very roughly speaking, deals with putting the ideas in calculus on rigorous mathematical footing, and often also will discuss basic ideas in topology and whatnot. These are usually at the level of a first-semester calculus course in an average university.Īnalysis on the other hand is a word that's often used for the more advanced topics which grow from the same vein as calculus. AP Calculus is separated into Calculus AB and Calculus BC, which very roughly speaking are the usual Calculus I (limits, basic differentiation, integration) and Calculus II (integration techniques, more applications).
As noted in the comments, "AP" stands for Advanced Placement, which is an advanced, international version of the usual national end-of-high-school exams (you may be familiar with the "A-levels" system in the UK, for example).
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