Integral Calculus 1. The first one who discovered integral calculus was an astronomer of the ancient Greece called Eudoxus he was capable of determine integrals by a method called method of exhaustion. Later on the method of exhaustion was developed by Archimedes, he use it to calculate the areas of some parabolas and circles. Then in the 17th century Bonaventura Cavalieri developed the method of indivisibles which was a method to find the area of an ellipse and the volume of a sphere by taking in
AIM OF THE EXPLORATION ÿ Explore Integral Calculus usage to find the Volume of the solids ÿ Identify the cross-section of the solid ÿ Suggest an Algorithm for finding an expression for the Volume INTRODUCTION We learnt in the Applications of the Integral calculus to find the area under the curve. This can be divided in following three cases: ÿ Area below any given curve and above the X-axis ÿ Area between the two given curves If definite integration can be used to calculate the area of any
Communication: An Integral Part of Education Communication is a skill that everyone needs to acquire and learn how to utilize effectively. In any given profession, communication is required regardless of whether or not the field is a creative, professional, or strictly business. Especially in the field of elementary education do the teachers and staff need to possess exemplary communication skills. This is not only with the students but as well as with fellow faculty members and the parents’ involved
Running: An Integral Part of American Culture The running phenomenon has blended into society in many different aspects of our lives. This does not only include track and field, but also cross country, road-racing, and jogging for health and leisure. Many Americans make running an essential part of their day. Running is not only good for your heart and lungs, but it is very beneficial for relieving stress, keeping your metabolism high, and keeping you trim and muscular. Another expanding
Introduction Most of us think of logistics as a one-way street. Products are manufactured, packaged, stored in a warehouse, sold, and then shipped off to the customer ... end of story. Yet for many logistics managers today, that's not the end of the story. In addition to managing outbound goods, they also are responsible for reverse logistics--the flow of returned goods and packaging, including customer service and final disposition of returned items. The need to manage waste materials and
gravity affects certain objects is how calculus aids people who study Physics. Mechanics find calculus useful to determine rates of flow of fluids in a car. Numerous developments in mathematics by Ancient Greeks to Europeans led to the discovery of integral calculus, which is still expanding. The first mathematicians came from Egypt, where they discovered the rule for the volume of a pyramid and approximation of the area of a circle. Later, Greeks made tremendous discoveries. Archimedes extended the
Introduction Integration is the reverse of differentiation. If y = 2x + 3, dy/dx = 2 If y = 2x + 5, dy/dx = 2 If y = 2x, dy/dx = 2 So the integral of 2 can be 2x + 3, 2x + 5, 2x, etc. For this reason, when we integrate, we have to add a constant. So the integral of 2 is 2x + c, where c is a constant. A 'S' shaped symbol is used to mean the integral of, and dx is written at the end of the terms to be integrated, meaning 'with respect to x'. This is the same 'dx' that appears in dy/dx .
Ethics and social responsibility are integral components in developing a strategic plan while considering stakeholder needs. As such, ethics and social responsibility should be deemed as an essential strategic concern within all organizations. Ethics and social responsibility has the capacity to make or break an organization; the success of an organization’s strategic plan is dependent upon it. This paper will explain the role of ethics and social responsibility in developing a strategic plan while
Joseph-Louis Lagrange Joseph-Louis Lagrange was born on January 25, 1736 in Turin, Sardinia-Piedmont (which is now known as Italy). He studied at the College of Turin where his favorite subject was classic Latin. After reading Halley’s 1693 work on the use of algebra in optics Lagrange became very interested in mathematics and astronomy. Unfortunately for Lagrange he did not have the benefit of studying with the leading mathematicians, so he became self-motivated and was self-taught. Then in 1754
mathematics field. He has contribution in integral calculus, calculate the value of pie and fluid displacement. One of his contributions in mathematics fields are invention of integral calculus and recorded in a text named Method. In the text of Method contains many of his researches such as the determination of the area of parabola, the area and volume of a sphere and an ellipsoid. Also, the text contain many geometric formulas, prove and explanation. By using the integral calculus, he calculated the section
The Benefits of eCommerce and Back-Office Integration The Benefits of eCommerce and Back-Office Integration It 's astonishing how many companies are still working with separate systems for the front and back offices. Front-office features refer to the design, content, images and features that customers routinely see on a company 's website and Web pages while back-office processes include ERP and CRM software, inventory management, fulfillment processes, accounting and staff management. Back-office
mistakes made under fire, and the results of a nation at war. As a result the IPB process has changed to accommodate a dynamic and often fluid battlefield. However this has not changed the core concept behind IPB, the four steps still remain an integral part of the Commanders Military Decision Making Process (MDMP), and are essential in war gaming. IPB assist in providing valuable Intelligence to the War Fighter throughout all phases of operations. This paper will cover each step of the IPB Process
Change is an integral aspect that every individual retains. Change highlights our identity and thus gives us deeper insight into the individual development. Therefore, composers accentuate on change to expose its importance and purpose (maybe its effects on the individuals thoughts in the society). In addition, the text, the planet of the apes, composed by, Franklin J. Schaffner establishes change as an important element that constructs the person’s growth and personality. Similarly, the text the
Everyone has a worldview and a way they see life. Christian teachers should be willing to use their own biblical worldview to help the students in class develop a strong set of beliefs by integrating biblical truths into their lessons daily and encouraging their students to apply what they learn in class to not only their biblical worldview, but to their life. A worldview can be defined as a set of beliefs by which you live your life. This means that everything you say and do is defined by your
Integrating Texts and Graphics into Your Writing My advice for students about integrating texts and graphics would be to figure out how to combine them most appropriately for what you want to convey, whether it be an informational article or a creative story. In most cases, especially in technical writing, the main purpose of graphics is to explain something faster or organize the information better. Last spring in technical writing, we focused a lot on how to use our graphics in our final proposal
Measuring the Resistivity of a Wire Aim The aim of this experiment is to find out how the area of the cross section of the wire affects the resistance and also to find out the resistivity of the wire having found the resistance over a certain length and using a certain cross sectional area. I will also experiment to see how the length of the wire affects the resistance. Plan The first thing that I will do is to set up the apparatus as shown below. A,V Except for the experiment
Sandvik AB Sandvik AB began operations as a small steel company in Sandviken, Sweden. The company, originally known as Goransson Hogbo Stal & Jernwerks, recognized early on the important role creating innovative techniques and products played in being successful. To this day, Sandvik maintains a firm commitment to research as a means of gaining competitive advantage. Unfortunately, competing with other innovative industrial firms in a small country like Sweden provides limited growth opportunities
Curriculum Integration Contrary to popular belief, curriculum integration entails more than simply linking lessons together along a common theme. It is more than just "rearranging existing lesson plans", it is an attempt to organize "curriculum around significant problems and issues…without regard for subject-area boundaries" (Beane, 1997). The goal of curriculum integration is to have students gain a deeper level of understanding across subject areas through interrelated thematic study. Themes
Humphries, Binder & Edwards (2011) address how integrated learning is promoted as a best educational practice and within an integrated curriculum, a “theme is selected and learning experiences are developed in two or more subject areas to meet standards-based objectives in each theme (p. 174). When transforming a traditional curriculum unit to an integrated curriculum, there are four areas we need to focus on to allow our integrated curriculum to be differentiated. These four areas provide options
"As for me, all I know is that I know nothing" is a famous quote from Socrates, that describes him very well as the intelligent, humble person that he was. Socrates was born on 469 B.C. in Athens, Greece. He was well known throughout the world for his dialogues and the work of his followers and students such as Xenophon and Plato. He built the foundation for the Socratic Method as well as Socratic Irony. Although everything known about him is second-hand, and we do not have any of his philosophical