calculus
Calculus is the mathematical study of continuous change.
It is a broad concept used to understand rates of change and accumulation of values.
differential calculus
guide to differential calculus
figure: Differential calculus studies rates of change.
The core of differential calculus is the derivative.
The derivative is an operation that quantifies the sensitivity of change of a function’s output, used to find the rate of change.
Differentiation is finding the derivative, so this is what differential calculus is all about - the derivative.
integral calculus
figure: Integral calculus studies areas and accumulated change.
The core of integral calculus is the integral.
The integral is an operation that calculates the continuous analog of a sum, useful for calculating areas and volumes.
Integral calculus studies integrals in order to calculate accumulated area