Another example is that in my education I think of analysis as being the “pure” thing with a first course consisting of 0. epsilon-delta; 1. sequences, series, limits; 2. Continuity, limits; 3. differentiation, Riemann integration. And calculus is the application of integration and differentiation and probably involves physics and integration by parts and things like Stokes’ law or Green’s theorem and maybe differential equations (unless they go in a separate course). But I understand that at other universities these might all be called calculus.