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Engineering Materials : Introduction

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  Engineering Materials Introduction: Part 1 Classification of Engineering Materials METALS Bonding: Metallic Bonding – Nonlocalized Electron Structure: Crystalline Advantages : ·           Relatively stiff and strong ·           Ductile ·           Good Conductor ·           Polished metal has a lustrous appearance ·           Ferromagnetic Disadvantages : ·           Corrosion and oxidation ·           Failure by fatigue ·           Not transparent   Familiar Object Made of Metals (Callister, 2018) POLYMERS Bonding: Covalent bonding Structure: Amorphous Advantages : ·           Lightweight ·           Ductile ·           Easy to form ·           Low coefficient of friction ·           Corrosion resistant Disadvantages : ·          Low modulus elasticity ·          Low melting point ·          Not strong as metals and ceramics ·          Difficult to recycle   Several Common Objects Made of Polymers (Callister, 2018) CERAMICS Bonding: Ionic and covalent bonding Structure: Crystalline
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Solving Linear First ODE

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  First Order Linear Differential Equation   How to integrate  ,            Answer : You know that first order linear ODE   general form : Modify the equation similar to general form :                                                  (1)     Determine the Integrated Factor µ(x) :                                                                  (2)                                                                              Multiply each side by µ(x)                            (3)                           Remember, (uv)' = u'v + uv'   Then,                                                    (4)                               We can insert the initial condition y(0) = 2 to eq.4 to obtain C                                                                   (5) Substitute eq.5 to eq.4, and we can obtain the value of y : Multiply each side with  
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