Modeling+1

# 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
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.
What is Mathematical modeling ”?

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Mathematics Modeling
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.
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 ;
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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