History of Calculus The history of calculus falls into several distinct time periods‚ most notably the ancient‚ medieval‚ and modern periods. The ancient period introduced some of the ideas of integral calculus‚ but does not seem to have developed these ideas in a rigorous or systematic way. Calculating volumes and areas‚ the basic function of integral calculus‚ can be traced back to the Egyptian Moscow papyrus (c. 1800 BC)‚ in which an Egyptian successfully calculated the volume of a pyramidal
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History and the Importance of Calculus Calculus can be summed up as "the study of mathematically defined change"5‚ or the study of infinity and the infinitesimal. The basic concepts of it include: limits‚ derivatives‚ differentiation and integrals. The word "calculus" means "rock"; the reason behind the naming of it is that rocks were used to used to carry out arithmetic. This branch of mathematics is able to be rooted all the way back to around 450 B.C.‚ when Zeno of Elea discovered infinite numbers
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After taking calculus for nearly two semesters‚ I discovered that I loved that subject far more than I had anticipated. By the end of my first semester‚ I knew that I wanted to pursue a major that had calculus at its core; but I also wanted it to expand and complicate the material that I had already learn. After some thought‚ I realized that I would be committed and superfluously content to pursue a degree in physics. When I first took the subject itself in high school‚ I found myself intrigued
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EEE233 (SEM2-2012/13) TUTORIAL 1: PARTIAL DIFFERENTIAL EQUATIONS 1. Solve the following equations a) ∂2u∂x2=24x2(t-2)‚ given that at x=0‚ u=e2tand ∂u∂x=4t. b) ∂2u∂x∂y=4eycos2x‚ given that at y=0‚ ∂u∂x=cosx and at x=π‚ u=y2. 2. A perfectly elastic string is stretched between two points 10 cm apart. Its centre point is displaced 2 cm from its position of rest at right angles to the original direction of the string and then released with zero velocity. Applying
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each of the following vectors in terms of and (a) (b) (c) (Total 4 marks) 2. The vectors ‚ are unit vectors along the x-axis and y-axis respectively. The vectors = – + and = 3 + 5 are given. (a) Find + 2 in terms of and . A vector has the same direction as + 2 ‚ and has a magnitude of 26. (b) Find in terms of and . (Total 4 marks) 3. The circle shown has centre O and radius 6. is the vector ‚ is the vector and is the vector . (a) Verify
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Calculus Cheat Sheet Derivatives Definition and Notation f ( x + h) - f ( x) . If y = f ( x ) then the derivative is defined to be f ¢ ( x ) = lim h ®0 h If y = f ( x ) then all of the following are equivalent notations for the derivative. df dy d f ¢ ( x ) = y¢ = = = ( f ( x ) ) = Df ( x ) dx dx dx If y = f ( x ) then‚ If y = f ( x ) all of the following are equivalent notations for derivative evaluated at x = a . df dy f ¢ ( a ) = y ¢ x =a = = = Df ( a ) dx x =a dx
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Calculus in Medicine Calculus in Medicine Calculus is the mathematical study of changes (Definition). Calculus is also used as a method of calculation of highly systematic methods that treat problems through specialized notations such as those used in differential and integral calculus. Calculus is used on a variety of levels such as the field of banking‚ data analysis‚ and as I will explain‚ in the field of medicine. Medicine is defined as the science and/or practice of the prevention
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HL Vectors Notes 1. Vector or Scalar Many physical quantities such as area‚ length‚ mass and temperature are completely described once the magnitude of the quantity is given. Such quantities are called “scalars.” Other quantities possess the properties of magnitude and direction. A quantity of this kind is called a “vector” quantity. Winds are usually described by giving their speed and direction; say 20 km/h north east. The wind speed and wind direction together form a vector quantity
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Portfolio in Calculus Submitted by: Chloe Regina C. Paderanga Submitted to: Sir Ferdinand Corpuz Journal for the Month of June WHAT I LEARNED? I learned many things this month. It was good that our teacher repeated the topics in basic math to strengthen our foundation. Even if we had a hard time‚ I don’t see any reason why we should complain because I understand that our wanted to master these topics to be able to move to a higher math. The topics tackled this month are namely:
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“The Contribution of Calculus in the Social Progress” The history of calculus falls into several distinct time periods‚ most notably the ancient‚ medieval‚ and modern periods. The ancient period introduced some of the ideas of integral calculus‚ but does not seem to have developed these ideas in a rigorous or systematic way. Calculating volumes and areas‚ the basic function of integral calculus‚ can be traced back to the Egyptian Moscow papyrus (c. 1800 BC)‚ in which an Egyptian successfully
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