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# An Overview of Calculus, Algebra and Trigonometry in Mathematics

To Use Calculus or Not to Use CalculusIn the past if you have studied Algebra and Trigonometry then your knowledge has prepared you to master the next step calculus Calculus is complicated but not quite as bad as everyone thinks It is the study of changing quantities Take for example the curve as a path of a rocket A tangent line at any point on the orbit displays the direction that the rocket is flying at that point If gravity disappears the rocket would move off on the tangent line Within changing quantities calculus is based on two fundamentals derivatives and integrals and Computing the derivative is easy but has a lot of algormathically The derivative finds the slope of a function Integration is the same as the anti-derivative in that it finds the original equation of the function and computes the area under the function These are two concepts that calculus is moldedDerivatives and integrals are all to do with limits The concept of limits is essential to all calculus The limit is the basis for all calculus problems A knowledgeable understanding of limits will help explain many theories in calculus In limits the only thing that matters is how a function is defined near the point a point a is the quantity that the limit gets close to but never reaches In taking the derivative of a height function the out come is a velocity function In taking the derivative of a velocity function the rate of change of a position you get a acceleration function the rate of change of velocity Or if given an acceleration function you can integrate to get a velocity function Newton realized that the pattern of velocities is simpler while the pattern of accelerations is simpler still The two known operations of calculus differentiation taking the derivative

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