Is there such a thing as Calculus 5?
Yes, it goes all the way to 7, actually. See here: Calculus VIIIn all seriousness, your typical Calculus III course is only the beginning of “extra” calculus. There is so much more to do:solve calculus equations in one variable (ordinary differential equations)solve calculus equations in multiple variables (partial differential equations)rigorously understand calculus in one variable (real analysis)rigorously understand calculus in multiple variables (real analysis II)do calculus with complex numbers (complex analysis)do calculus with function spaces (functional analysis)convert calculus problems to discrete problems (numerical analysis)do calculus with lots of sines and cosines (harmonic analysis)pretend to do calculus but actually do algebra (differential algebra)The list goes on and on.At some point, calculus becomes like the air you breath that nobody really names the course calculus N for increasing values of N. They just use it.