Calculus

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  • Infinitesimal calculus


  • One of the applications of Mathematical analysis (Calculus in particular) is for Signal processing


It is not so easy to understand the difference between Algebra and Calculus. Let's try to explain it using an example in which we use math to study a physical problem: https://www.youtube.com/watch?v=MltYNJcCS14

Algebra problem: A car moves at a constant speed and goes 180 miles in 3 hours. How fast is it going?

Calculus problem: A car moves with variable speed. Its position is given by s(t) = (some formula). Find its speed as a function of time.



Differential calculus

https://en.wikipedia.org/wiki/Differential_calculus


A secant approaches a tangent when . Taken from https://en.wikipedia.org/wiki/Derivative
A secant approaches a tangent when . Taken from https://en.wikipedia.org/wiki/Derivative


Differential calculus is the study of the definition, properties, and applications of the derivative of a function. The process of finding the derivative is called differentiation.