Difference between revisions of "Calculus"

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:* Math of change
 
:* Math of change
 
:* The study of things that change
 
:* The study of things that change
:* Infinitesimal calculus allows us to study problems in which there are changes in the variables (or properties) involved in the problem.
+
:* Infinitesimal calculus allows us to study problems in which there are changes in the variables (or properties) involved in the problem. In other words, it allows us to mathematically describe changes. So, if we have a system that is changing, we can mathematically model it (or describe it) by using calculus.
 
:* https://en.wikipedia.org/wiki/Calculus
 
:* https://en.wikipedia.org/wiki/Calculus
 
:* https://www.youtube.com/watch?v=w3GV9pumczQ
 
:* https://www.youtube.com/watch?v=w3GV9pumczQ

Revision as of 19:03, 30 August 2020

  • 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.