I completely forgot that convolution is part of calculus too! I slightly remember it from the past, but for some reason when we started doing convolution in class the term seemed very new.

Anyways, convolution in calculus terms is an integral that expresses the amount of overlap of one function g as it is shifted over another function f. Like in number theory, it "blends" one function with another. I guess in German when you use convolution with maps, by blending different uses together, it is called faltung, which means folding. The formula for convolution in calculus looks similar to the one we use in number theory:

[f*g](t)=int_0^tf(tau)g(t-tau)dtau,

and f*g still is the symbol used to represent convolution.

Also, convolution in calculus is taken over an infinite range usually.

Just a little information about convolution in calculus!