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The different aspects of calculus are used in the real world every day. In business, specialists look at the derivatives of trends that can help them predict the future of stocks and markets. Architects commissioned for a job are given a budget and they use optimization to calculate the best amount of material they can get with that budget and space in a building they are designing. The Integral is used to show area under a curve. The indefinite integral is the antiderivative of a function. For these types of professions the integral is their Bible, metaphorically speaking. The watch the trends, convert the data into a quantitative function and then use the integral to predict the future of a company or simply use it with differentiation for an optimization problem. Their are many other uses as well that we use, sometimes subconsciously, in everyday life; these are just a couple of examples.
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Scientist who made calculus?
Newton is the named founder of Calculus. Yet there is controversy because it is claimed that Leibniz stole Newton's Calculus notes and took all credit for Calculus. But to this day Leibniz's integral and derivative notation is more commonly used that Newton's which was found confusing.
What is calculus and what does it have to do with?
Calculus is a branch of mathematics which came from the thoughts of many different individuals. For example, the Greek scholar Archimedes (287-212 B.C.) calculated the areas and volumes of complex shapes. Isaac Newton further developed the notion of calculus. There are two branches of calculus which are: differential calculus and integral calculus. The former seeks to describe the magnitude of the instantaneous rate of change of a graph, this is called the derivative. For example: the derivative of a position vs. time graph is a velocity vs. time graph, this is because the rate of change of position is velocity. The latter seeks to describe the area covered by a graph and is called the integral. For example: the integral of a velocity vs. time graph is the total displacement. Calculus is useful because the world is rarely static; it is a dynamic and complex place. Calculus is used to model real-world situations, or to extrapolate the change of variables.
What is the difference between Newton and Leibniz calculus?
The difference between Leibniz calculus to Newton calculus was that Leibniz developed Newton's calculus into the calculus we all know today. For instance, diffentiation and intergration, limits, continuity, etc. This type of calculus was the pure mathematics. On the otherhand, the calculus which Newton found was that used in physics, such as speed and velocity which helped with physics greatly. Today, calculus not only used in just mathematics or physics, but used in finance, as well as exploited in engineering.
How is pre-calculus used in the real world?
In the 'real world', the purpose of a course of study in pre-calculus is to prepare the student for a course of study in Calculus.
Why is calculus so hard?
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.
