Aalen - University of Applied Sciences balper@fh-aalen.de http://www.fbm.fh-aalen.de/ Abstract: In this article‚ we present the concept of mathematical application projects as a means to enhance the capabilities of engineering students to use mathematics for solving problems in larger projects as well as to communicate and present mathematical content. As opposed to many case studies‚ we concentrate on stating criteria and project classes from which instructors can build instances (i.e. specific
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The Mathematics for Essay 2 The purpose of these notes are to explain some of the mathematics behind Essay 2. Your own essay should not just repeat these arguments but have a more geometric flavor. Write about how you can physically place the blocks. You may assume basic facts about geometric sums and series. Let r be any real number and let n be a non-negative integer. The sum 1 + r + r2 + · · · + rn (1) is a geometric sum and the infinite series 1 + r + r2 + · · · + rn + · · · (2)
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Scope of mathematics This article will provide an overview of the NCTM process and content standards. Educators first studying the standards may feel overwhelmed with the amount of content addressed within each grade-level span. State frameworks that dictate standards for each grade level exacerbate this situation. However‚ a longitudinal view will show how the same topics are developed over several years in a spiral and interconnected pattern. For example‚ the
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Kyle Smith Math 1332 Fall 2011 McCullough-Pannell How Mathematics is used in Firefighting Math is used extensively in firefighting‚ partly because firefighters have so many jobs to do in the course of their work. As a volunteer firefighter‚ I have seen mathematics used in many areas of firefighting. If you don’t have a solid background in math‚ especially algebra‚ you will struggle to pass the required exams and have a hard time getting
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Megara‚ who was a Greek Socratic philosopher who live about a century earlier. His elements is the most successful textbook in the history of mathematics. The principles of geometry are deduced from a small set of axioms. Euclid’s method of proving mathematical theorems by logical reasoning from accepted first principles continues to be the backbone of mathematics and is responsible for that field’s characteristics rigor. Elements is best-known for its geometric results‚ but it also includes many results
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Introduction 2.1 What is mathematics all about? The assignment brief suggests two viewpoints: (1) Mathematics is a given body of knowledge and standard procedures that has to be covered or (2) Mathematics is an interconnected body of ideas and reasoning processes 2.2 The first viewpoint considers mathematics as a discipline consisting of rigid compartments of knowledge with set techniques and routine algorithms. The second viewpoint suggests that mathematics is made up of interlinking
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Roman Mathematics Introduction The system of Roman numerals that we know today is a numeral system that originated from ancient Rome‚ and was adapted from Etruscan numerals. The system used in antiquity was slightly modified in the Middle Ages to produce the system being used today. The grandeur days of Rome did not emphasize on mathematics as a discipline and discover new abstractions. The Romans were more absorbed in applying mathematics in engineering and architecture to improve the quality
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Mathematics in medieval Islam 1 Mathematics in medieval Islam In the history of mathematics‚ mathematics in medieval Islam‚ often termed Islamic mathematics or Arabic mathematics‚ is the mathematics developed in the Islamic world between 622 and 1600‚ during what is known as the Islamic Golden Age‚ in that part of the world where Islam was the dominant religion. Islamic science and mathematics flourished under the Islamic caliphate (also known as the Islamic Empire) established across the
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Mayans Mathematics The Mayan number system was developed by the ancient Maya civilization of Central America. Similar to the number system we use today‚ the Mayan system operated with place values. To achieve this place value system they developed the idea of a zero placeholder. The Maya seem to be the first people who used a place value system and a symbol for zero. Beyond these similarities there are some significant differences between the Mayan number system and our modern system. The Mayan
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A mathematician is a person whose primary area study is the field of mathematics. Mathematicians are concerned with logic‚ space‚ transformations‚ numbers and more general ideas which encompass these concepts. Some notable mathematicians include Archimedes of Syracuse‚ Leonhard Paul Euler‚ Johann Carl Friedrich Gauss‚ Johann Bernoulli‚ Jacob Bernoulli‚ Muhammad ibn Mūsā al-Khwārizmī‚ Georg Friedrich Bernhard Riemann‚ Gottfried Leibniz‚ Euclid of Alexandria‚ Jules Henri Poincaré‚ Srinivasa Ramanujan
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