A Friendly Introduction to Differential Equations

A Friendly Introduction to Differential Equations

by Mohammed K A Kaabar

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About
In this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.

Discussion questions for A Friendly Introduction to Differential Equations

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  1. 1

    How does the transition from standard calculus to the study of differential equations change your perspective on how mathematics models continuous change in the real world?

  2. 2

    In what ways does the structure of moving from basic methods to the Laplace Transform and systems of equations feel like a narrative arc of increasing complexity?

  3. 3

    How does the availability of this text for free under a Creative Commons license influence your view of modern academic collaboration and the democratization of mathematical knowledge?

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