Differential calculus deals with the rate of change of one quantity with respect to another. Or you can consider it as a study of rates of change of quantities. For example, velocity is the rate of change of distance with respect to time in a particular direction. 

Applications of Calculus

• Applications of integral calculus include computations involving area, volume, arc length, center of mass, work, and pressure. 

• More advanced applications include power series and Fourier series. 

• Calculus is also used to gain a more precise understanding of the nature of space, time, and motion.