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Numerical Methods for Ordinary Differential Equations
Kees Vuik; Fred Vermolen; Martin van Gijzen · TU Delft Open · 2023
In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We confine ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package. The numerical examples in this book were implemented in Matlab, but also Python or any other programming language could be used. A list of references to background knowledge and related literature can be found at the end of this book. Extra information about this course can be found at http://NMODE.ewi.tudelft.nl, among which old exams, answers to the exercises, and a link to an online education platform. We thank Matthias Moller for his thorough reading of the draft of this book and his helpful suggestions.
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Calculus in Context
James Callahan; David Cox; Kenneth Hoffman · Smith College Open Educational Resources: Textbooks · 1994
Designing the curriculum We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science. We also believe that much of the mathematical depth and vitality of calculus lies in connections to other sciences. The mathematical questions that arise are compelling in part because the answers matter to other disciplines. We began our work with a "clean slate," not by asking what parts of the traditional course to include or discard. Our starting points are thus our summary of what calculus is really about. Our curricular goals are what we aim to convey about the subject in the course. Our functional goals describe the attitudes and behaviors we hope our students will adopt in using calculus to approach scientific and mathematical questions. Starting Points Calculus is fundamentally a way of dealing with functional relationships that occur in scientific and mathematical contexts. The techniques of calculus must be subordinate to an overall view of the questions that give rise to these relationships. Technology radically enlarges the range of questions we can explore and the ways we can answer them. Computers and graphing calculators are much more than tools for teaching the traditional calculus. The concept of a dynamical system is central to science. Therefore, differential equations belong at the center of calculus, and technology makes this possible at the introductory level. The process of successive approximation is a key tool of calculus, even when the outcome of the process--the limit--cannot be explicitly given in closed form. Curricular Goals Develop calculus in the context of scientific and mathematical questions. Treat systems of differential equations as fundamental objects of study. Construct and analyze mathematical models. Use the method of successive approximations to define and solve problems. Develop geometric visualization with hand-drawn and computer graphics. Give num
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Introduction to Applied Statistics for Psychology Students
Gordon Sarty · University of Saskatchewan · 2022
Introduction to Applied Statistics for Psychology Students, by Gordon E. Sarty (Professor, Department of Psychology, University of Saskatchewan) began as a textbook published in PDF format, in various editions between 2014-2017. The book was written to meet the needs of University of Saskatchewan psychology students at the undergraduate (PSY 233, PSY 234) level. In 2019-2020, funding was provided through the Gwenna Moss Centre for Teaching and Learning, along with technical assistance from the Distance Education Unit, to update and adapt this book, making it more widely available in an easy-to-use and more adaptable digital (Pressbooks) format. The update also made revisions so that the book could be published with a license appropriate for open educational resources (OER). OERs are defined as “teaching, learning, and research resources that reside in the public domain or have been released under an intellectual property license that permits their free use and re-purposing by others” (Hewlett Foundation). This textbook and other OERs like it are openly licensed using a Creative Commons license, and are offered in various digital and e-book formats free of charge. Printed editions of this book can be obtained for a nominal fee through the University of Saskatchewan bookstore.
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Mostly Harmless Elementary Statistics
Rachel Webb · Portland State University Library · 2023
This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE). Software examples provided for Microsoft Excel, TI-84 & TI-89 calculators. Students new to statistics are sure to benefit from this ADA accessible and relevant textbook. The examples are current and resonate with everyday life. The casual narrative style, has a conversational tone to provide an inclusive and easy to read format for students.
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Euclid's Elements Redux
Daniel Callahan · Sample · 2020
"Euclid's 'Elements' Redux" is an open textbook on mathematical logic and geometry based on Euclid's "Elements" for use in grades 7-12 and in undergraduate college courses on proof writing. Many problem solvers throughout history wrestled with Euclid as part of their early education including Copernicus, Kepler, Galileo, Sir Isaac Newton, Ada Lovelace, Abraham Lincoln, Bertrand Russell, and Albert Einstein. This edition is part of an effort to ensure that tomorrow's great thinkers will have that same privilege.
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Technical Mathematics
Morgan Chase · Open Oregon Educational Resources · 2024
This developmental-level mathematics textbook is intended for career-technical students.
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Introduction to Statistics
David Lane · David Lane · 2003
Introduction to Statistics is a resource for learning and teaching introductory statistics. This work is in the public domain. Therefore, it can be copied and reproduced without limitation. However, we would appreciate a citation where possible. Please cite as: Online Statistics Education: A Multimedia Course of Study (http://onlinestatbook.com/). Project Leader: David M. Lane, Rice University. Instructor's manual, PowerPoint Slides, and additional questions are available.
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Principles of Business Statistics
Mihai Nica · OpenStax CNX · 2013
You are probably asking yourself the question, "When and where will I use statistics?". If you read any newspaper or watch television, or use the Internet, you will see statistical information. There are statistics about crime, sports, education, politics, and real estate. Typically, when you read a newspaper article or watch a news program on television, you are given sample information. With this information, you may make a decision about the correctness of a statement, claim, or "fact." Statistical methods can help you make the "best educated guess."
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Book of Proof
Richard Hammack · Richard Hammack · 2018
This is a book about how to prove theorems. Until this point in your education, you may have regarded mathematics primarily as a computational discipline. You have learned to solve equations, compute derivatives and integrals, multiply matrices and find determinants; and you have seen how these things can answer practical questions about the real world. In this setting, your primary goal in using mathematics has been to compute answers. But there is another approach to mathematics that is more theoretical than computational. In this approach, the primary goal is to understand mathematical structures, to prove mathematical statements, and even to invent or discover new mathematical theorems and theories. The mathematical techniques and procedures that you have learned and used up until now have their origins in this theoretical side of mathematics. For example, in computing the area under a curve, you use the fundamental theorem of calculus. It is because this theorem is true that your answer is correct. However, in your calculus class you were probably far more concerned with how that theorem could be applied than in understanding why it is true. But how do we know it is true? How can we convince ourselves or others of its validity? Questions of this nature belong to the theoretical realm of mathematics. This book is an introduction to that realm. This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems,explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics. This text has been used in classes at: Virginia Commonwealth University, Lebanon Valley College, University of California - San Diego, Colorado State University, Westminster College, South Dakota State University, PTEK College - Brunei,
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Introduction to the American Criminal Justice System: An Equity Lens
Roxie Supplee; Megan Gonzalez · Open Oregon Educational Resources · 2025
This introductory criminal justice textbook serves as a comprehensive resource for students to explore the key areas of the American criminal justice system. Students will examine the roles of the police, courts, corrections, and juvenile law. Additionally, the book introduces criminal theory, data, and legal principles. Beyond just studying these topics, students will have the opportunity to investigate potential careers and reflect on their roles and opinions within our legal system.
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Mental Disorders and the Criminal Justice System
Anne Nichol; Kendra Harding; Monica McKirdy · Open Oregon Educational Resources · 2025
This is an introductory textbook exploring the management and treatment of people with mental disorders throughout the criminal justice system.
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Introduction to Criminology: An Equity Lens
Jessica Peterson; Taryn VanderPyl · Open Oregon Educational Resources · 2025
Introduction to Criminology provides a foundation for understanding the origins, evolution, and current status of criminological theories. This textbook explains the field of criminology and influential theories in context, with real-life examples and activities. All content is delivered through a lens of equity, diversity, and inclusion. Each chapter includes bold-faced key terms with definitions and cross-references that link backward and forward to important concepts. Students can also engage with the content through discussion questions and supplemental resources at the end of each chapter.
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Becoming a Climate Conscious Lawyer: Climate and the Australian Legal System
Anna Huggins; Ellen Hawkins; Steven Tudor; Nicole Rogers · La Trobe University · 2024
As the world grapples with the escalating challenges of climate change, the legal profession finds itself at a crossroads. Becoming a Climate Conscious Lawyer: Climate and the Australian Legal System provides an original, innovative, and accessible analysis of the impact of climate change on legal doctrines and principles. It offers an overview of cutting-edge developments and how the transition to a low-carbon society is reshaping a wide range of laws, from corporate to criminal law, and beyond. This valuable new resource supports legal professionals, law students, and legal educators to understand current legal challenges – providing the know-how to strategically navigate, and positively influence, the development of law to respond to a climate changed world. The book delivers a transformative approach to legal education: equipping law students to become climate-conscious professionals with the confidence and competency to deliver legal solutions to a diverse range of clients, and promote climate justice across diverse communities.
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Introduction to Criminology
Shereen Hassan; Dan Lett; Leah Ballantyne · Kwantlen Polytechnic University · 2026
Although this open education resource (OER) is written with the needs and abilities of first-year undergraduate criminology students in mind, it is designed to be flexible. As a whole, the OER is amply broad to serve as the main textbook for an introductory course, yet each chapter is deep enough to be useful as a supplement for subject-area courses; authors use plain and accessible language as much as possible, but introduce more advanced, technical concepts where appropriate; the text gives due attention to the historical “canon” of mainstream criminological thought, but it also challenges many of these ideas by exploring alternative, critical, and marginalized perspectives. After all, criminology is more than just the study of crime and criminal law; it is an examination of the ways human societies construct, contest, and defend ideas about right and wrong, the meaning of justice, the purpose and power of laws, and the practical methods of responding to broken rules and of mending relationships. Special thanks to Leah Ballantyne, LLB LLM, a Cree lawyer from the Mathias Colomb Cree Nation in Pukatawagan, Manitoba, who provided expert Indigenous consultation/editing for this textbook.
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Civil Rights and Liberties
Rorie Solberg; Kimberly Clairmont; Petar Jeknic; Sarah Mason · Open Oregon Educational Resources · 2023
This volume focuses on the constitutional doctrine and law in the areas of civil rights and liberties. It contains excerpts of landmark cases covering the first amendment, second amendment, fourteenth amendment and the right to privacy. The excerpts include the constitutional issues in these cases that are related to civil rights and liberties with other questions of law and dicta omitted.
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Marine Law and Policy for Scientists and Managers
Holly Campbell · Oregon State University · 2019
This open educational resource is designed for use by undergraduate and graduate ocean science, natural resource, fisheries and wildlife, and environmental policy students enrolled in a ten-week academic quarter. The purpose of this project is to provide students and non-law professionals with a freely accessible, clearly written guide to support engaging and effective learning. As such, the book serves as a gateway and an invitation to become a well informed, committed and involved ocean citizen as well as to explore the field beyond our course study.
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Introduction to the American Criminal Justice System
Alison Burke; David Carter; Brian Fedorek; Tiffany Morey · Open Oregon Educational Resources · 2019
There is a dearth of OER textbooks in Criminology and Criminal Justice, which made creating this textbook all the more exciting. At times we faced challenges about what or how much to cover, but our primary goal was to make sure this book was as in-depth as the two textbooks we were currently using for our CCJ 230 introduction course. The only way we were willing to undertake this project as if it was as good, or better than the current books students read. We have had very positive feedback about the required textbooks in the course but consistently heard how expensive the books were to buy. We also needed to ensure we met the learning outcomes outlined by SOU for a general education course, as well as the state of Oregon, to make sure this textbook helps students meet those outcomes.
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Wetlands Law: A Course Source
Stephen Johnson · CALI's eLangdell® Press · 2024
This is the revised, fifth edition of The Wetlands Law Course Source. It can be used as the primary text for a two credit seminar or as a supplemental text to cover wetlands material in an environmental law, natural resources law, or water law course. In addition, the administrative law chapter can be used as a supplement in a range of administrative law-related courses, such as environmental law, health law, labor law, immigration law, and others, to introduce basic administrative law concepts. Unlike traditional casebooks or coursebooks, a “course source” includes resources to train students in all three apprenticeships identified by the Carnegie Foundation in its influential report on legal education, Educating Lawyers: Preparation for the Profession of Law. To address the knowledge apprenticeship, the Wetlands Law Course Source includes all of the traditional elements of a casebook or coursebook (cases, commentary, notes and questions) and includes several hypotheticals and problem exercises that focus on reinforcing wetlands law. In addition, as one of the many forms of summative and formative assessment included in the book, every chapter includes one or more CALI exercise as a “quiz” to reinforce the material covered in the chapter. To address the skills apprenticeship, the Wetlands Law Course Source includes sixteen separate legal research exercises, several drafting exercises, a negotiation exercise, and an interviewing and counseling exercise. To address the values apprenticeship, the Course Source includes several professionalism scenarios, with questions related to the scenarios. The Course Source also incorporates a wealth of audio/video materials and external links to bring the cases, disputes and materials in the book to life, including the audio for the oral arguments in most of the principal cases excerpted in the book, a Google map identifying the location of the properties involved in all of the principal cases excerpted in the book, decision docu
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Computer-Aided Exercises in Civil Procedure
Roger Park; Douglas McFarland · CALI's eLangdell® Press · 2014
The sixth edition, first published as an ebook, and this seventh edition carry forward the philosophy and structure of the earlier editions. This book is not a comprehensive treatise on the subject of civil procedure, yet it provides a mixture of expository text, cases, and self-testing questions in nearly all of the major areas of the subject. In order to maximize accessibility, flexibility, and compatibility of the book, the authors have chosen CALI's eLangdell Press to publish and distribute the sixth edition (as chapters) and this revised seventh (as a complete book) electronically with a Creative Commons license. Publishing a law textbook electronically with far fewer restrictions than most commercial books and using a somewhat new, boutique outfit such as eLangdell Press is an unconventional choice, to say the least. But the authors share the eLangdell vision of more flexible teaching materials for professors and more cost-effective books for students. Professors may now edit and remix this work to match their teaching without worry of copyright infringement. Students may now adopt this book, read it using any number of software or devices, and even print it - all for free. The book's authors, like its publishers, believe that this new book model represents an important and long overdue step forward in the way law school books are published. All the exercises have been substantially revised for this edition. The individual exercises also are reorganized and expanded so that they follow a more standardized pattern: expository text on the topic area, work-book questions, and introduction to the related online CALI lessons. This book, and the accompanying interactive exercises known as CALI Lessons available online through the Center for Computer-Assisted Legal Instruction (CALI) at www.cali.org, are intended to provide a challenging educational experience. For each exercise, students should read the text in this book and answer the questions before accessing the
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The Data Renaissance: Analyzing the Disciplinary Effects of Big Data, Artificial Intelligence, and Beyond [Revised Edition]
J.J. Sylvia IV · ROTEL · 2024
The Data Renaissance delves into the complexities of data's role in various industries and its broader impact on society. It highlights the challenges in investigating data practices, citing examples like TikTok, where algorithms and data handling are closely guarded secrets. The content, contributed by students under the guidance of an expert, covers a wide range of topics, including the ethical aspects of generative AI in education and the workplace, and case studies reflecting real-world experiences. This evolving text, intended to be updated with each class, serves as a dynamic resource for educators and students alike, offering insights and discussion guides for an in-depth understanding of the ever-changing landscape of data in our digital age.