Calculus A Modeling And Computational Thinking Approach

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Calculus A Modeling And Computational Thinking Approach

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Author : Eric Stade
language : en
Publisher: Springer Nature
Release Date : 2023-04-13

Calculus A Modeling And Computational Thinking Approach written by Eric Stade and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-13 with Mathematics categories.

This book is intended for a first-semester course in calculus, which begins by posing a question: how do we model an epidemic mathematically? The authors use this question as a natural motivation for the study of calculus and as a context through which central calculus notions can be understood intuitively. The book’s approach to calculus is contextual and based on the principle that calculus is motivated and elucidated by its relevance to the modeling of various natural phenomena. The authors also approach calculus from a computational perspective, explaining that many natural phenomena require analysis through computer methods. As such, the book also explores some basic programming notions and skills.

Computational Modeling And Problem Solving In The Networked World

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Author : Hemant K. Bhargava
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-31

Computational Modeling And Problem Solving In The Networked World written by Hemant K. Bhargava and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-31 with Computers categories.

This book is a compilation of a selected subset of research articles presented at the Eighth INFORMS Computing Society Conference, held in Chandler, Arizona, from January 8 to 10, 2003. The articles in this book represent the diversity and depth of the interface between ORiMS (operations research and the management sciences) and CS/AI (computer science and artificial intelligence ). This volume starts with two papers that represent the reflective and integrative thinking that is critical to any scientific discipline. These two articles present philosophical perspectives on computation, covering a variety of traditional and newer methods for modeling, solving, and explaining mathematical models. The next set includes articles that study machine learning and computational heuristics, and is followed by articles that address issues in performance testing of solution algorithms and heuristics. These two sets of papers demonstrate the richness of thought that takes place at the ORiMS and CSI AI interface. The final set of articles demonstrates the usefulness of these and other methods at the interface towards solving problems in the real world, covering e-commerce, workflow, electronic negotiation, music, parallel computation, and telecommunications. The articles in this collection represent the results of cross-fertilization between ORiMS and CSI AI, making possible advances that could have not been achieved in isolation. The continuing aim ofthe INFORMS Computing Society and this research conference is to invigorate and further develop this interface.

Calculus

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Author : Marvin L. Bittinger
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1984-01-01

Calculus written by Marvin L. Bittinger and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Calculus categories.

Mathematical Modeling And Applied Calculus

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Author : Joel Kilty
language : en
Publisher: Oxford University Press
Release Date : 2018-09-13

Mathematical Modeling And Applied Calculus written by Joel Kilty and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-13 with Mathematics categories.

This textbook is rich with real-life data sets, uses RStudio to streamline computations, builds "big picture" conceptual understandings, and applies them in diverse settings. Mathematical Modeling and Applied Calculus will develop the insights and skills needed to describe and model many different aspects of our world. This textbook provides an excellent introduction to the process of mathematical modeling, the method of least squares, and both differential and integral calculus, perfectly meeting the needs of today's students. Mathematical Modeling and Applied Calculus provides a modern outline of the ideas of Calculus and is aimed at those who do not intend to enter the traditional calculus sequence. Topics that are not traditionally taught in a one-semester Calculus course, such as dimensional analysis and the method of least squares, are woven together with the ideas of mathematical modeling and the ideas of calculus to provide a rich experience and a large toolbox of mathematical techniques for future studies. Additionally, multivariable functions are interspersed throughout the text, presented alongside their single-variable counterparts. This text provides a fresh take on these ideas that is ideal for the modern student.

Mathematical Modeling And Computational Calculus

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Author : William Flannery
language : en
Publisher:
Release Date : 2013

Mathematical Modeling And Computational Calculus written by William Flannery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Calculus categories.

"This book will take you from not being able to spell calculus to doing calculus just the way I did it for twenty years as an engineer at high tech firms like Lockheed and Stanford Telecom. You will learn how physical processes are modeled using mathematics and analyzed using computational calculus. Systems studied include satellite orbits, the orbits of the earth and moon, rocket trajectories, the Apollo mission trajectory, the Juno space probe, electrical circuits, oscillators, filters, tennis serves, springs, friction, automobile suspension systems, lift and drag, and airplane dynamics. And not a single theorem in sight. This book focuses on differential equation models because they are what scientists and engineers use to model processes involving change. Historically, this has presented a problem for science education because while the models are easy enough to create, solving the differential equations analytically usually requires advanced mathematical techniques and their clever application. But, that was before computers; now, with computers, solutions to differential equations can be computed directly, without the need of theorems or any advanced mathematics, using the formula distance equals velocity times time. It s just that simple. The book will show you how it s done."--Introduction.

Calculus For The Life Sciences A Modeling Approach

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Author : James L. Cornette
language : en
Publisher:
Release Date : 2011

Calculus For The Life Sciences A Modeling Approach written by James L. Cornette and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

Calculus

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Author : Iris Anshel
language : en
Publisher:
Release Date : 2012-02-15

Calculus written by Iris Anshel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-15 with Algebra categories.

The advent of highly accessible computer algebra systems and very sophisticated calculators has led educators to reevaluate how calculus should be taught. Uniquely designed for use with computer algebra systems and sophisticated calculators, this course also works well with a computer laboratory. The students are encouraged to use technology for manual computation while they rapidly progress through the concepts of differential and integral calculus, mathematical modeling and optimization, ordinary differential equations, differential calculus for vector valued and multi-variable functions. The students will progress to vector geometry and coordinate systems, two and three dimensional graphical display, multiple integration, vector fields and line integrals, and on to Fourier series and the Fourier expansion theorem.

Emerging Research Practice And Policy On Computational Thinking

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Author : Peter J. Rich
language : en
Publisher: Springer
Release Date : 2017-04-24

Emerging Research Practice And Policy On Computational Thinking written by Peter J. Rich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-24 with Education categories.

This book reports on research and practice on computational thinking and the effect it is having on education worldwide, both inside and outside of formal schooling. With coding becoming a required skill in an increasing number of national curricula (e.g., the United Kingdom, Israel, Estonia, Finland), the ability to think computationally is quickly becoming a primary 21st century “basic” domain of knowledge. The authors of this book investigate how this skill can be taught and its resultant effects on learning throughout a student's education, from elementary school to adult learning.

Mathematics Research For The Beginning Student Volume 1

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Author : Eli E. Goldwyn
language : en
Publisher: Springer Nature
Release Date : 2022-11-24

Mathematics Research For The Beginning Student Volume 1 written by Eli E. Goldwyn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-24 with Mathematics categories.

Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: games on graphs modeling of biological systems mosaics and virtual knots mathematics for sustainable humanity mathematical epidemiology Mathematics Research for the Beginning Student, Volume 1 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have already studied calculus is also available.

Report Of A Workshop On The Pedagogical Aspects Of Computational Thinking

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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2011-09-05

Report Of A Workshop On The Pedagogical Aspects Of Computational Thinking written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-05 with Education categories.

In 2008, the Computer and Information Science and Engineering Directorate of the National Science Foundation asked the National Research Council (NRC) to conduct two workshops to explore the nature of computational thinking and its cognitive and educational implications. The first workshop focused on the scope and nature of computational thinking and on articulating what "computational thinking for everyone" might mean. A report of that workshop was released in January 2010. Drawing in part on the proceedings of that workshop, Report of a Workshop of Pedagogical Aspects of Computational Thinking, summarizes the second workshop, which was held February 4-5, 2010, in Washington, D.C., and focuses on pedagogical considerations for computational thinking. This workshop was structured to gather pedagogical inputs and insights from educators who have addressed computational thinking in their work with K-12 teachers and students. It illuminates different approaches to computational thinking and explores lessons learned and best practices. Individuals with a broad range of perspectives contributed to this report. Since the workshop was not intended to result in a consensus regarding the scope and nature of computational thinking, Report of a Workshop of Pedagogical Aspects of Computational Thinking does not contain findings or recommendations.