This is a twenty-first century book designed to meet the challenges of understanding and solving interdisciplinary problems. The book creatively incorporates “cutting-edge” research ideas and techniques at the undergraduate level. The book also is a unique research resource undergraduate/graduate students and interdisciplinary researchers. It emphasizes and exhibits the importance of conceptual understandings and its symbiotic relationship in the problem solving process. The book is proactive in preparing for the modeling of dynamic processes in various disciplines. It introduces a “break-down-the problem” type of approach in a way that creates “fun” and “excitement”. The book presents many learning tools like “step-by-step procedures (critical thinking)”, the concept of “math” being a language, applied examples from diverse fields, frequent recaps, flowcharts and exercises. Uniquely, this book introduces an innovative and unified method of solving nonlinear scalar differential equations. This is called the “Energy/Lyapunov Function Method”. This is accomplished by adequately covering the standard methods with creativity beyond the entry level differential equations course. Key Features:  Volume 1 prepares undergraduate students and interdisciplinary readers to meet the demands and face various challenges in the global competitive and dynamic world of the twenty-first century  The book uses an innovative style to present its concepts, topics, and methods with adequate preparation for deterministic calculus  Specifically, the aforementioned Energy/ Lyapunov Function Method of solving nonlinear scalar differential equations is unique  Also, the book provides a method of solving a class of differential equations that cannot be solved by using any of the methods in the current textbooks  As mentioned in the introduction, the book is based on various “cutting-edge” research ideas and techniques  In a way, this volume modernizes the existing textbooks to meet the needs and demands of the 21st Century  It also serves as a unique research reference for undergraduate/graduates as well as any interested interdisciplinary researchers so that they can develop mathematical models and methods to solve a larger class of differential equations

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