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Math 221e module 11st edition with erratum protected

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Module 1 Concept of Mathematical Modeling and Differential Equation DIFFERENTIAL EQUATION Engr. Renel M Alucilja, RPABE Engr. Kathleen Mae B. Alucilja, CE Developed by: COLLEGE OF ENGINEERING AND INFORMATION TECHNOLOGY University of Southern Mindanao Kabacan, Cotabatao 2 Math 221: Concept of Mathematical Modeling ================================= Module 1. Concept of Mathematical Modelling and Differential Equation Learning Outcomes: ILO 1 Identify different types and forms of Differential Equation ILO 2 Recognized mathematical models as a tool in solving engineering problems Learning Outcomes are outcomes that is expected of a student at the end of this module. It must be assessed after the delivery of the Session. ILO 3 Differentiate First order ODE from Homogeneous Equation to Non-Homogeneous Topics 1. Concept of Mathematical Modeling and Differential Equation 1. Mathematical Modeling 2. Order and Degree of Differential Equation 3. Family of Solutions and Curves 4. Particular and General Solution INTRODUCTION After the end of this module, students should be able to solve Differential Equation in using different techniques. Definitions and concepts are introduced to the student for them to be able to define and understand what is differential equation. This reference note is usually given to my students at the end part of my lectures to serve as a review materials for the students. More detailed definitions are also in this note as definitions are usually introdu ...
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