Fundamental Practices of Elementary ODE

The primary motivation of this book is to provide working knowledge in the introductory level of elementary ordinary differential equations required for general mathematical modeling used in science and engineering.The basic requirements to digest the materials in this book are thorough understanding on calculus, basic operations in linear algebra, and some understanding on complex numbers. Rather than following a certain pedagogical structure, minimal explanations on fundamental...
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The primary motivation of this book is to provide working knowledge in the introductory level of elementary ordinary differential equations required for general mathematical modeling used in science and engineering.The basic requirements to digest the materials in this book are thorough understanding on calculus, basic operations in linear algebra, and some understanding on complex numbers. Rather than following a certain pedagogical structure, minimal explanations on fundamental concepts are given with minimal pure mathematical abstraction. The main focus is that solution procedures for each question are fully presented, which are critical parts in this book. Solutions are written as much in detail as possible to the extent that readers should be able to learn optimal knowledge on underlying materials that fit for given problem descriptions. It is more right to say that this book is a selected-problem-oriented guideline for assignments, quizzes, and exams in one-semester course. Accordingly, this book will work best if it is used as a hand-on reference to other standard textbooks in ordinary differential equations.