"Math comes in handy for answering questions about a variety of topics, from calculating the cost-effectiveness of fuel sources and determining the best regions to build high-speed rail to predicting the spread of disease and assessing roller coasters by their "thrill" factor. How does math do all that? Finding a solution to these and a multitude of other real-world questions will likely involve the creation, application, and refinement of a mathematical model, a mathematical representation of a situation to gain a qualitative or quantitative understanding to predict future behavior. Such predictions allow us to come up with novel findins, enable scientific advances, and make informed decisions. Given the lack of modeling courses in most school curricula, many students do not have access to the basic resources necessary to create a successful model. Math modeling : getting started & getting solutions provides instructions and processes for building mathematical models using a variety of examples and provides tools that remove perceived roadblocks by presenting modeling as a highly-creative iterative process in which multiple approaches, to the same problem, can lead to meaningful results."--Page 4 de la couverture.
Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields.
Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields.
Can you find a circuit that covers every block exactly once (no deadheading)? If not can you explain why not? ... How does this bear upon Exercises 5 and 6? the number of edges to be added which duplicate e,-.
The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it.
This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject.
The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.
This textbook mirrors the process professionals must follow in solving complex problems. Each chapter in this book is followed by a set of challenging exercises.
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models.
Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.
This book explores what it means to teach modeling.