No, not really.
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It covers objects important to almost all areas of mathematics, so from a mathematical point of view it is absolutely essential to learn about the things covered in a calculus course. And of course, if studied correctly (in a strictly logical and mathematical way), your first course in calculus may significantly increase your ability to think critically, logically, and systematically, which should be important to you even if you ignore mathematics in the future (which is nevertheless hard to do in almost any technical field).
Before you can do a project on any subject you need to understand that subject.Integral calculus is a 'higher' form of mathematics, if you are asking such a question then you obviously do not understand what it involves. I suggest you study more math.I suggest you start by learning integral calculus.
Once you've completed differential and integral calculus, multivariable calculus is often next step, and beyond that there is advanced calculus which generalizes calc to multidimensional spaces and uses vector-valued functions. Often concurrent with high level calculus in college courses is linear algebra and differential equations. There's nothing really 'after' calculus, because any topic in mathematics has a myriad of problems, theories, and potential applications to be explored. Calculus is, however, normally the highest level of math taught in US high schools and is a basic required course for any science/engineering major in college.
The simple answer is any phenomena that is changing in a non-linear manner.
Calculus in itself is not hard, it is usually remembering the algebra and previous math classes that is hard. New concepts are introduced in Calculus, but isn't it the same with any new subject? For example, many problems in integration, the actual calculus is not the hard part, it is using all of the algebra and other concepts you have used your whole life to simplify the problem so it is easy to solve.