Modeling+1 - ES 1050 Introductory Engineering Design and...

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ES 1050 – Introductory Engineering Design and Innovation Studio Mathematical/Empiric al Modeling S. Barghi, Ph.D., P.Eng. February 2016
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Content Introduction Examples of Mathematical Models Mathematical Modeling ( Different Disciplines ) Mathematical modeling in design Mathematical Modeling process
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What do you think of when you hear the words: “Mathematical Modeling” Have you ever seen a mathematical model or involved in mathematical modeling business?
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Mathematical modeling is an integrated part of all engineering disciplines. Application of mathematical models in engineering is growing rapidly and computers have revolutionized the art of mathematical modeling.
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What is Mathematical modeling ”?
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Mathematics Modeling
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Mathematical Modeling
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Introduction The term “ modeling has its roots in the Latin word “ modulus , which means “ small measure ”. We always build models within ourselves as a template for what to anticipate under varied conditions in our daily life.
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Definition Definition of the word “model” (n) in Webster’s Colligate Dictionary ; “a miniature representation of something” “a pattern of something to be made” “a description or analogy used to help visualize something (e.g. an atom) that cannot be directly observed”
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Definition Dictionary definition of the word “ model ” (n); a simplified description of a system to assist calculations and predictions a system of postulates, data and inferences presented as a mathematical description of an entity or state of affairs . In Oxford American Dictionary ;
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Definition From these definitions, a model should be; A simplified, physical or mathematical representation or analogy of some aspects of reality for the purpose of description, prediction and/or calculation .
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System Input Output A SYSTEM or a PROCESS is an entity that performs certain tasks to deliver a desired function. Examples of a system include a ‘social ’, a ‘ political ’, a ‘ meteorological’ , an ‘ economic ’, a ‘ biological ’, or an ‘ engineering’ entity.
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