Essays on Mathematics

Calculus, historically known as infinitesimal calculus, is a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series. Ideas leading up to the notions of function, derivative, and integral were developed throughout the 17th century, but the decisive step was made by Isaac Newton …

In ancient times, Egypt was a very large, complex nation. The ancient Egyptians did many things, but did they use Math? There are several pieces of evidence that the Egyptians, indeed used mathematics. Most of our knowledge of Egyptian math comes from two mathematical papyri: …

There were many contributions to western civilization from the Ancient Greeks. Many roots of the civilization we have today can be traced back to the Ancient Greeks. They made long lasting contributions in the areas of art, architecture, philosophy, math, drama, and science. If the …

This is an investigation about stellar numbers, it involves geometric shapes which form special number patterns. The simplest of these is that of the square numbers (1, 4, 9, 16, 25 etc…) The diagram below shows the stellar triangular numbers until the 6th triangle. The …

The linear-programming models that have been discussed thus far all have been continuous, in the sense that decision variables are allowed to be fractional. Often this is a realistic assumption. For instance, we might 3 easily produce 102 4 gallons of a divisible good such …

What is Logic? “The inherent ability to mentally compare and weigh two or more perceptions and to mentally conclude accurately what is the differences and/or similarities between each perception. ” “Logic is the science or art of exact reasoning, or of pure and formal thoughts, …

A comparison of two numbers is referred to as a ratio, similar to fractions that can be reduced to lowest terms and then converted into a ratio of integers. Ratios allow one to compare sizes of two quantities and unit measurements. Any statement expressing the …

Proper evaluation of all educational curricula is vital to providing an effective education to students. The purpose of such an evaluation is, in essence, to discover how well educational objectives are being met. An evaluation method must be accurate and valid, however the evaluation must …

Introduction In view of the growing importance of English as a tool for global communication and the consequent emphasis on training students to acquire communicative competence, the syllabus has been designed to develop linguistic and communicative competence of Engineering students. The prescribed books and the …

One of the most important things a buyer must do before making a purchase is to review any and all of the statistical research on a product. According to Bluman (2005), Statistical research is used to provide knowledge and information in order to enable us …

Rene Descartes Rene Descartes was a brilliant man. His works on philosophy, physics and mathematics are still heavily influenced much to all of these studies today in our modern world. Descartes was born in March 31, 1596 in La Haye, France; he was named after …

Around the year 1260, the philosopher Roger Bacon wrote: “Mathematics is the door and the key to the sciences… for the things of this world cannot be made known without a knowledge of mathematics”. Centuries later this is as true as ever. Mathematics is unique. …

It costs the company an average of $15,000 to produce a rock CD and an average of $12,000 to produce a rap CD. Also, it takes about 18 hours to produce a rock CD and about 25 hours to produce a rap CD. The company …

Math Self-efficacy 1 Running head: SELF-EFFICACY AND STANDARDIZED TEST PERFORMANCE Accepted for publication in the Journal of Educational Psychology. This version may slightly differ from the published version. Does Math Self-efficacy Mediate the Effect of the Perceived Classroom Environment on Standardized Math Test Performance? Lisa …

One  can  always  say, ‘ it  is  7.00  p.m.’ and  the  same  fact  can  be  also  put  as  ‘ it is  19.00 ’. If  the  truth  underlying  these  two  statements  is  understood  well, one  has understood  ‘ modular mathematics ‘  well. The  conventional  arithmetic  is  based  on  …

Early Field Experience Lesson Plan Fractional Growth Factor CMP Math 8th Grade Ms. Tanisha Wilson Fifer Middle School Tanisha Wilson MTSC 403 Fall 2011 CONTEXTUAL FACTORS Student Characteristics There 28 students and they are in 8th grade CMP math class. There are some students in …

Aristotle and George Boole contributed to the progression in mathematics and logic with their findings. Plato’s most influential student, Aristotle, job was to be a puzzle solver mostly for metaphysical phenomena and some of his works are more solid and structured prior analytics. He learned …

My personal dream job is working in the Information Technology field as a software programmer. Some of those reasons I choose this career are the highly needs in young professionals, the high salary to maintain a stable life and the love of math and science. …

Program Evaluation Improving Math and Science scores in Middle School TABLE OF CONTENTS Page Needs Assessment 3 Program Theory 10 Logic Model 20 Conceptualization & Operationalization of Program Outcomes 24 Assessment of Program Impact 25 References 28 NEEDS ASSESSMENT Math and Science are two subjects …

Srinivasa Ramanujan Ramanujan was born in India to a poor family in Erode, a city in Madras state. His father was a clerk and his mother a deeply religious housewife. None of these facts reflect who Ramanujan really was. He was a brilliant, self-taught mathematician …

Sage Tutorial Release 5. 3 The Sage Development Team September 10, 2012 CONTENTS 1 Introduction 1. 1 Installation 1. 2 Ways to Use Sage . . 1. 3 Longterm Goals for Sage . . 3 4 4 4 7 7 9 10 13 18 21 …

There were many great ancient civilizations that set the foundation for modern western culture to develop; yet none influenced our modern-day civilization more than the Greeks. The ancient Greeks were revolutionaries in many fields, such as science, philosophy, governmental structure, and warfare tactics. Without Greek …

It was the summer before college when I had the best vacation in my life. I never had enjoyed any vacation since the past years. Too bad I became so pre-occupied with take pleasure in this escapement that I lost my penchant for learning. Summer …

Chapter 4 Fluid Kinematics Solutions Manual for Fluid Mechanics: Fundamentals and Applications by Cengel & Cimbala CHAPTER 4 FLUID KINEMATICS PROPRIETARY AND CONFIDENTIAL This Manual is the proprietary property of The McGraw-Hill Companies, Inc. (“McGraw-Hill”) and protected by copyright and other state and federal laws. …

1. In general, a …………… is a number describing some aspect of a population. a. Sample. b. Parameter. c. Inference. d. Correction factor. 2.  A sample quantity that serves to estimate an unknown parameter from a population is called: a. An equivalence. b. An estimator. …

Contribution of engineer to economic development of Sir Lankan after the ethnic conflict Assyria D. P 120258P Introduction Today Sir Lankan is an independent country. After the 30 year of war Sir Lankan is rising for the prosperity. Because of this war Sir Lankan couldn’t …

What exactly is the chaos theory? Some believe the chaos theory is one of the many theories that will be recognized in the centuries to come. The chaos theory embodies many conditions of science, such as physics, engineering, economics, philosophy, mathematics, music, and even psychology. …

Test Bank—Chapter One (Data Representation) Multiple Choice Questions 1. Which of the following Boolean operations produces the output 1 for the fewest number of input patterns? 2. Which of the following best describes the NOR operation? 3. Which of the following bit patterns cannot be …

Finding the tangent line to the graph of a function at a single point can be extremely useful when interpreting the information that the function represents. So first to describe what a tangent line is: A tangent line of a function at one point shows …

In regards to how much I feel I improved my knowledge and skills of advanced math during this course, I sadly have to say none whatsoever. I am just as frustrated with math at the end of this course as I was when I started. …