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Calculus was start from the Greek Mathematicians. They started calculating the rise and run (slope) of curves and non straight lines. Zeno of Elea in 455 BC, discovered the c…oncept of Infinity. Further contributions were made by Leucippus, Democritus, Antiphon and Eudoxus. Archimedes, was the first important person who showed advance to show that the area of a segment of a parabola is 4/3 the area of a triangle with the same base and vertex and 2/3 of the area of the circumscribed parallelogram. Among other 'integrations' by Archimedes were the volume and surface area of a sphere, the volume and area of a cone, the surface area of an ellipse, the volume of any segment of a paraboloid of revolution and a segment of an hyperboloid of revolution. Other important contributors were Huygens, Leibniz, Newton, Jacob, Johann, and many more. The father of Calculus in 19th Century is Cauchy, who completed the calculus and made the shape which today we see. (MORE)

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In High School

Calculus AB is a Calculus course taught in high schools based on an AP curriculum. The class is supposed to ultimately prepare a student to take the AP Calculus AB exam in May…. While the specifics might vary from school to school, the core of the curriculum are limit definitions, differentiations, integrations, and applications of all of the above. (MORE)

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In Calculus

When you take the derivative of a function, you are seeking a variation of that function that provides you with the slope of the tangent (instantaneous slope) at a…ny value of (x). For example, the derivative of the function f(x)=x^2 is f'(x)=2x. Notice that the derivative is denoted by the apostrophe inside the f and (x). Also note that at x=0, f'(x)=0, which means that at x=0 the slope of the tangent is zero, which is correct for the function y=x^2. (MORE)

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In Calculus

Up until calculus, you can essentially deal with functions of a constant slope (a straight line). Â I.e.: y = 1/3x + 9. Â We know the slope on that function is 1/3. Â However …what is the slope of Â y = e5x+sin(9x)? Â It's y' = 5e5x+9cos(x) You should also know trigonometry and can use some trig functions to deviate from constant slopes, but you really don't know how to find the slopes. Â What is the slope of y = cos(9x)? Â It's y' = -9sin(9x) Calculus teaches you two fundamental operations (and a whole lot of application with these two operations): 1) How to find the slope of a curve (the derivative)This let's you find the maximum and minimum's of a function, optimize problems (i.e., figure out how to use the least amount of materials given some parameters), and has and endless amounts of utility. and 2) How to find the area under a curve. (the integral)This let's you find the totals for a number of problems (example, find the total accumulated amount of money, given a function that relates time and money), let's you calculate the real areas, volumes, etc. of realistic surfaces (not everything is shaped like a box or triangle), and also has endless amounts of utility. If you want to go into any science, engineering, research field, or just any technical field, you are going to want to have calculus. Â It is a fundamental subject, that teaches you operations (must like addition and subtraction), finding theÂ determinateÂ and integrals are too operations. (MORE)

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In Calculus

Traditionally, and in my learning experiences, calculus is taught in three stages, often referred to as Calculus I, Calculus II, and Calculus III (often shortened to Calc I, C…alc II, Calc III). You are asking about Calculus I only, but it is easy to explain all three. Calc I usually covers only derivative calculus, Calc II covers integral calculus and infinite series, and Calc III covers both derivative and integral calculus, but in multiple variables instead of only one independent variable ( xyz = x+y+z as opposed to y = x). This is a traditional collegiate leveling of calculus. This is often changed around in secondary education (in the United States at least). Programs such as AP Calculus often change around this order. AP Calculus AB covers Calc I and introduces Calc II, while AP Calculus BC covers the remainder of Calc II. Now that you know the subject matter, what does it mean? Derivative calculus is a generalized category meant to encompass the computation and application of only derivatives, which are basically rates of change of a mathematical function. A basic mathematical function such as y = x + 2 describes a mathematical relationship: for every additional independent variable "x", a dependent variable "y" will have a value of (x + 2). But, how do you describe how quickly the value of "y" changes for each additional "x"? This is where derivatives come from. The derivative of the function y = x + 2, as you would learn in Calc I, is y' = 1. This means that y changes at a constant rate (called y') of "1" for each additional x. In more familiar terms, this is the slope of this function's graph. However, not all functions have constant slopes. What about a parabola, or any other "curvy" graph? The "slopes" of these graphs would be different for any given value of a dependent variable "x". A function such as y = x2 + 2 would have a derivative, as you would learn in Calc I, of y' = 2x, meaning that the original value of "y" will change at a rate of two times the value of "x" (2x), for each additional increment of "x". You can continue into further derivatives, called second, third, fourth (and so on) derivatives, which are derivatives of derivatives. This is essentially asking "At what rate does a derivative change?". The beginning of Calc I is concerned with introducing what a derivative is, ways to describe the behavior of mathematical functions, and how to compute derivatives. After this introduction is complete, you will begin to apply derivatives to mathematical problems. The description of how derivatives are used to solve these problems is not worth going into, because it would be better for you to connect derivatives to their applications on your own, but you can use derivatives to answer such questions as: What is the maximum/minimum value of a mathematical function on a given interval or on its entire domain? This kind of knowledge can be applied like so: Suppose a mathematical function is found that describes the volume of a box. Knowing that you can use the derivative of this function to find its maximum value, you can then find what value of a certain variable will yield the maximum volume of the box. Another type of application is called a "related rates" problem, in which a known mathematical relationship is used with some given information to describe another property. A question of this type could be: Suppose you have a cylindrical tank of water with a small hole in the bottom, and you measure that the water is flowing out at 2 gallons per minute. At what rate is the height of the water in the tank changing? (This is a simple related rates problem). A full description of integral calculus (Calc II and a basis of Calc III), would take far too long to explain, and it would be easier to explain once you have taken Calc I. Calc III takes the same idea as Calc I and Calc II, but instead of one independent variable "x" changing one dependent variable "y", there are several variables, although in most applications you will only see three, "x", "y", and "z", although the ideas you will learn in the class will apply to potentially infinite variables. The basic ideas of derivatives and integrals will hold here, but the mathematical methods needed and applications possible with multiple variables require additional learning. (MORE)

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In Black Holes

Black calculus According to this page on gums and gum disease from Britain.TV: "A principal cause of gum disease is calculus. This is the hard, chalky material tha…t forms when soft plaque is left in place by inadequate brushing and flossing. Visible calculus is yellow or white, but black calculus also forms underneath the gums. Once started, the process encourages further plaque to form, and the amount and thickness of the calculus steadily increases." This page also lists a few more tidbits of information about causes and treatment. (It mentions "dental scaling" to treat calculus.) More opinions from FAQ Farmers: * Besides the definition of calculus already stated, calculus can turn black due to blood. Gingivitis and other Periodontal diseases cause inflammation and there is essentially ulceration of the tissue below the gum line, which can bleed when irritated. Bleeding is usually induced by brushing and flossing in an unhealthy mouth. What is Black Calculus? Tartar can become dark when it is stained with blood. This usually happens when someone has gum disease, and tartar stays bellow the gum and get stained with blood. If someone has black calculus, they should consider removing it with a dental cleaning or scaling at a dental office. (MORE)

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In Calculus

Who invented 'Calculus'? Ans: Sir Isaac Newton and Gottfried Leibnitz are credited with the invention of Calculus - independently.

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In Calculus

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 a…nd 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. (MORE)

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In Calculus

Simple answer: Calculus involves derivation and integration, precal doesn't. Pre calculus gives you some of the algebraic, geometric and trigonometric understanding that is …required to comprehend the concepts in calculus. Without the knowledge from precal, calculus would not be easily understood, as it is taught in schools today. (MORE)

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In Calculus

The mathematical field known as calculus studies rates of change. Calculus is interesting because it brings together most of the mathematical concepts that you learn before ta…king calculus, such as algebra, trigonometry, and functions, and gives them very realistic applications. One of the most applicable and understandable rates of change for those who have not taken calculus is speed. Speed is the rate of change in position over time, and is studied in depth in every calculus class. (MORE)