Calculus Essays

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Numerical Differential Equation Analysis Package

The Numerical Differential Equation Analysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes quadrature. Butcher Runge-Kutta methods are useful for numerically solving certain types of ordinary differential equations. Deriving high-order Runge-Kutta methods is no easy task, however. There are several reasons for this. The first difficulty is in finding […]

Pages: 31 Words: 9220 Topics: Analysis, Calculus

One Dimensional Heat Equation

ABSTRACT CHAPTER ONE INTRODUCTION            It’s deeply truth that the search for the exact solution in our world-problems is needed for each of us, but unfortunately, not all problems can be solved exactly; because of nonlinearity and complicated geometry. In many interesting applications, exact solutions may be impossible and unattainable, so we need to approximate. […]

Pages: 21 Words: 6210 Topics: Analysis, Calculus
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The Eternal Contributions of Isaac Newton

At the peak of his scientific tenure, Sir Isaac Newton said, We build too many walls and not enough bridges. This quote was the basis for how he lived his life; building bridges of knowledge between the known and unknown. As a result of this philosophy, Newton became an acclaimed mathematician and physicist, known for […]

Pages: 5 Words: 1526 Topics: Calculus, Gravity, Isaac Newton, Light, Mechanics

Isaac Newton – Facts and Accomplishments

Also known as Sir Isaac Newton, Isaac Newton was born on January 4, 1643, in Woolsthorpe, Lincolnshire, England. Newton was an only son of a farmer named Isaac Newton. However, his father had passed away three months before the birth of Newton and it was said that he was not supposed to live. During this […]

Pages: 2 Words: 619 Topics: Calculus, Gravity, Isaac Newton, Mechanics, Motion

Who was Sir Isaac Newton?

Sir Isaac Newton was born on January 4, 1643, but in England they used the Julian Calendar at the time and his birthday was on Christmas Day 1642. He was born in Woolsthorpe, a hamlet in the country of Lincolnshire. His father had died before his birth and his mother had remarried after his birth […]

Pages: 2 Words: 668 Topics: Analysis, Calculus, Isaac Newton

Isaac Newton: Inventions that Changed the World

Many people have heard of at least the name of Isaac Newton alone. Do people really know his sufficient? Often, he is just thought of as another inventor or creator, but he is much more than that. He played a huge part in what we know of our world today. Isaac Newton was born January […]

Pages: 8 Words: 2437 Topics: Calculus, Color, Force, Gravity, Isaac Newton, Light, Motion
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