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Intermediate Algebra
John Redden · Saylor Foundation · 2012
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines. Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.
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Calculus for the Life Sciences: A Modeling Approach
James Cornette; Ralph Ackerman · A.T. Still University · 2013
Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course. In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.
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Math in Society
David Lippman · David Lippman · 2017
Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).
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Precalculus: An Investigation of Functions
David Lippman; Melonie Rasmussen · David Lippman and Melonie Rasmussen · 2017
Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. In addition to the paper homework sets, algorithmetically generated online homework is available as part of a complete course shell package, which also includes a sample syllabus, teacher notes with lecture examples, sample quizzes and exams, printable classwork sheets and handouts, and chapter review problems. If you teach in Washington State, you can find the course shell in the WAMAP.org template course list. For those located elsewhere, you can access the course shell at MyOpenMath.com. A self-study version of the online course exercises is also available on MyOpenMath.com for students wanting to learn the material on their own, or who need a refresher.
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Basic Analysis: Introduction to Real Analysis
Jirí Lebl · Jirí Lebl · 2016
This free online textbook (e-book in webspeak) is a one semester course in basic analysis. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). A prerequisite for the course is a basic proof course. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a first semester of a more advanced course that also covers topics such as metric spaces.
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Calculus for the Life Sciences: A Modeling Approach
James Cornette; Ralph Ackerman · A.T. Still University · 2011
Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course. In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.
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Vector Calculus
Michael Corral · Michael Corral · 2013
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals. The book also includes discussion of numerical methods: Newton's method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables There are 420 exercises in the book. Answers to selected exercises are included.
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Precalculus
Carl Stitz; Jeff Zeager · Stitz Zeager Open Source Mathematics · 2013
A casual glance through the Table of Contents of most of the major publishers' College Algebra books reveals nearly isomorphic content in both order and depth. Our Table of Contents shows a different approach, one that might be labeled “Functions First.” To truly use The Rule of Four, that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it seems completely obvious to us that one would need to introduce functions first. (Take a moment and compare our ordering to the classic “equations first, then the Cartesian Plane and THEN functions” approach seen in most of the major players.) We then introduce a class of functions and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications which involve functions in that class. The material is presented at a level that definitely prepares a student for Calculus while giving them relevant Mathematics which can be used in other classes as well. Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The answers to nearly all of the computational homework exercises are given in thetext and we have gone to great lengths to write some very thought provoking discussion questions whose answers are not given. One will notice that our exercise sets are much shorter than the traditional sets of nearly 100 “drill and kill” questions which build skill devoid of understanding. Our experience has been that students can do about 15-20 homework exercises a night so we very carefully chose smaller sets of questions which cover all of the necessary skills and get the students thinking more deeply about the Mathematics involved.
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Elementary Algebra
John Redden · Saylor Foundation · 2011
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course. This text is, by far, the best elementary algebra textbook offered under a Creative Commons license. It is written in such a way as to maintain maximum flexibility and usability. A modular format was carefully integrated into the design. For example, certain topics, like functions, can be covered or omitted without compromising the overall flow of the text. An introduction of square roots in Chapter 1 is another example that allows for instructors wishing to include the quadratic formula early to do so. Topics such as these are carefully included to enhance the flexibility throughout. This textbook will effectively enable traditional or nontraditional approaches to elementary algebra. This, in addition to robust and diverse exercise sets, provides the base for an excellent individualized textbook instructors can use free of needless edition changes and excessive costs! A few other differences are highlighted below: Equivalent mathematical notation using standard text found on a keyboard A variety of applications and word problems included in most exercise sets Clearly enumerated steps found in context within carefully chosen examples Alternative methods and notation, modularly integrated, where appropriate Video examples available, in context, within the online version of the textbook Robust and diverse exercise sets with di
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Tort Law: Cases and Commentaries
Samuel Beswick · CanLII: Canadian Legal Information Institute · 2021
The law of obligations concerns the legal rights and duties owed between people. Three primary categories make up the common law of obligations: tort, contract, and unjust enrichment. This casebook provides an introduction to tort law: the law that recognises and responds to civil wrongdoing. The material is arranged in two parts. Part I comprises §§1-11 and addresses intentional and dignitary torts and the overarching theories and goals of tort law. Part II comprises §§12-25 and addresses no-fault compensation schemes, negligence, nuisance, strict liability, and tort law’s place within our broader legal systems. This casebook was compiled and edited by Assistant Professor Samuel Beswick of the University of British Columbia Peter A. Allard School of Law. Maddison Zapach (J.D. expected 2023) provided research assistance on the first edition (published July 2021). We gratefully acknowledge the influence on our approach to this subject of Professor Joost Blom QC of the Allard School of Law, Professor John C.P. Goldberg of Harvard Law School, and Associate Professor Rosemary Tobin of the University of Auckland Faculty of Law. The support of Open UBC and the UBC Teaching and Learning Enhancement Fund is also gratefully acknowledged.
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Open Access International Human Rights Law
Stuart Wallace; Clare James · University of Leeds Open Books · 2026
Open Access International Human Rights Law provides an accessible and comprehensive introduction to the principles, institutions and substantive protections that underpin international human rights law.
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Introduction to business law in Papua New Guinea
Andrew Gibson · Southern Cross University · 2024
“Introduction to Business Law in Papua New Guinea” is an introductory text designed to support students enrolled in LEGL1007 Introduction to the Business Law of Papua New Guinea at Southern Cross University. The book is structured into five parts: Part 1 provides an introduction to studying business law, including writing legal essays and problem questions; Part 2 covers negligence; Part 3 discusses contract law; Part 4 addresses consumer law; and Part 5 focuses on agency within the Papua New Guinea legal system.
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Transactional Drafting: Introduction to Contract Drafting and Transactional Practice
Ben Fernandez · Ben Fernandez · 2021
Transactional Drafting: Introduction to Contract Drafting and Transactional Practice contains a condensed presentation of all of the topics typically covered in an upper-level law school class on contract drafting. The book covers drafting from scratch including writing in plain English (not using legalese), avoiding ambiguity, and drafting covenants, rights and prohibitions consistently (using "will" or "shall" for covenants, "may" for rights, and "will not" or "shall not" for prohibitions). And it covers contract organization, from the title and the exordium to the core covenant, deal provisions and "boilerplate," to the testimonium and the signature blocks. The book also includes material on getting up to speed before you start drafting and brainstorming for contingencies after you have finished. In addition to drafting from scratch the book introduces students to the wide range of skills involved in transactional practice. There are chapters on revising form documents, both when you are the original drafter and when you represent the other side. Also, the book includes chapters on negotiating contract language, handling a closing (i.e., verifying authority and getting the documents signed), dealing with ethical issues that arise in contract drafting and execution, drafting a contract amendment, and using computers to draft contracts. Transactional Drafting includes everything students need to know to “hit the ground running” as a transactional attorney.
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Legal Writing I & II: Legal Research and Writing & Introduction to Litigation Practice
Ben Fernandez · Ben Fernandez · 2020
Legal Writing I & II; Legal Research and Writing & Introduction to Litigation Practice contains a brief discussion of all of the topics covered in a law school courses on legal writing, including a typical first semester course on legal research, analysis and writing an objective memorandum, as well as a second semester course on persuasion and writing an appellate brief, motion to dismiss or motion for summary judgment. The discussion focuses on the basics of analogical reasoning and persuasion and leaves out the minutiae. Each topic is taken one step at a time, with each step building on the step before it. The sources of law are presented first, then legal research, and reading and analyzing cases and statutes. The book covers analogizing a case to a fact pattern and marshaling the relevant facts to the elements of a statutory rule next. And then first section of the book concludes with legal citation, CRAC and CREAC, and writing a legal research memorandum. The text also includes a lot of samples and examples of how the author would write a case brief, a legal memoranda and an appellate brief, as well as an appendix with charts, outlines and exercises students can use to practice these skills. Legal Writing I & II; Legal Research and Writing & Introduction to Litigation Practice covers all the skills students need to know to work at a law firm, and everything students have to learn to begin practicing in litigation department of a firm.
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Religion in the Law: An Open Access Casebook
Joe Dunman · L. Joe Dunman · 2026
This casebook features over 70 cases from American courts that involve, in some important way, religious belief and action. The book is divided into sections: First Principles, Establishment, Free Exercise, and Special Problems. Each section includes landmark or otherwise influential cases that have influenced American law and religious practice. Most cases come from the U.S. Supreme Court but the lower federal and state courts are also represented.In the contextual introductions to each section and subpart, I have tried to give the reader a basis for understanding how the cases came about and why I chose them for this book. I have tried to minimize editorial comment. I have cited some scholarship where I think it would be helpful, but please do not mistake this as an attempt to produce a comprehensive treatise on the subject of religion in the law. It is a casebook, and a short one, all things considered. At the end of each introductory part is a short “further reading” list. I chose those articles because I found each of them interesting and useful to understanding the topics that precede them. Their selection is not necessarily an endorsement of each author’s arguments, though I do agree with some of them.I designed this casebook specifically for my own use upper level law school seminar called Law & Religion. Class sessions using this book are intended to be student-led, round table talks with the professor acting as discussion prompter and neutral mediator. Generally, 2-5 cases are assigned for each class session. I selected, edited, and arranged the cases to complement each other thematically and chronologically to the best of my ability. Many of the cases include overlapping topics and could fit into multiple categories, so I took some liberties in their arrangement. Your mileage may vary.
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Open Judicial Politics
Rorie Solberg; Jennifer Diascro; Eric Waltenburg · Oregon State University · 2020
The impetus for this volume was a multitude of conversations regarding pedagogy and teaching related to our judicial process courses. Based on these conversations, we identified four main threads or needs of our colleagues: First, many of us bring or want to bring more “political science” into our classes, though we also want to avoid the high costs of reinventing successful existing courses to do so. Second, our programs all require a political methodology course, and we want to reinforce those lessons in our substantive courses. We want to encourage our students’ understanding of how to read and understand research studies as well as how to craft their own research questions. Third, we want to keep our courses as current as possible. And fourth, we wanted to find a way to bring the cost of our courses down, as we see so many students struggle with the high costs of a college degree. This volume (as well as any future editions) addresses each of these concerns. Open Judicial Politics is a compilation of new and original research in judicial politics written specifically for the undergraduate audience, thus providing accessible examples of political science research that also address some of the more current concerns and controversies in our field. Additionally, every article is accompanied by some type of classroom activity—from basic discussion questions to full-blown simulations—that makes it easier for instructors to adapt the material to their courses and enhance classes with interactives. The chapters of the volume generally follow the well-worn path of most textbooks of judicial politics, making the volume an easy companion for adoption, and the material should fit seamlessly into the preestablished structures of most courses. Finally, the volume is an open-source resource, and adoption of the text adds no cost for our students. Whether one uses one or ten articles, the cost remains nil. This volume includes twenty-two original contributions that we have grou
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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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The Indigo Book: A Manual of Legal Citation
Christopher Sprigman · Public Resource · 2016
Welcome to The Indigo Book 2.0—a free, Creative Commons-dedicated implementation of the uniform system of citation commonly used in United States legal documents. The Indigo Book (2d ed. 2021) isn’t the same as The Bluebook: A Uniform System of Citation (21st ed. 2020), but it does implement the same system of citation that The Bluebook does. The scope of The Indigo Book’s coverage is roughly equivalent to The Bluebook’s “Bluepages”—that is, The Indigo Book covers legal citation for U.S. legal materials, as well as books, periodicals, and Internet and other electronic resources. For the materials that it covers, anyone using The Indigo Book will produce briefs, memoranda, law review articles, and other legal documents with citations that are compatible with the Uniform System of Citation. Although law students, scholars, and legal professionals sometimes talk about legal citation as if it is truly uniform, the fact is that legal citation has never actually been a uniform national system. Accordingly, The Indigo Book also provides insight into some of the discretionary preferences and jurisdiction specific variations found in legal citation throughout the United States.
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Professional Responsibility: An Open-Source Casebook
Brian Frye; Elizabeth Schiller · Brian L. Frye & Elizabeth Schiller · 2019
We wanted this casebook to be as easy to use and understand as possible. Accordingly, we included not only cases, but also the text of the rules and restatements, as well as concise explanations of the relevant law. Each chapter of the book addresses a different issue, in the following format. First, it clearly and concisely explains the relevant law governing that issue. Then provides the relevant text of any statutes, Model Rules, sections of the Restatement of the Law Governing Lawyers, or other sources, with a link to an open-source versions of the full text, when available. It provides one or more heavily edited cases intended to illustrate the application of the law at issue, with a link to an open-source version of the full text of the case. Each case is preceded by a brief summary of its facts, reasoning, and holding, and followed by questions intended to indicate subjects for further investigation or discussion. And finally, it includes citations to law review articles and other materials relevant to the law at issue, with links to open-source versions of those materials, when available. This casebook covers a wide range of different subjects related to the professional responsibility of attorneys. While it is possible to cover all of this material in a three credit-hour course, you may wish to omit some subjects. You may also wish to supplement the materials in this casebook with additional materials. We encourage you to use this casebook in any way that you like.
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Global Corruption: Its Regulation under International Conventions, US, UK, and Canadian Law and Practice
Gerry Ferguson · University of Victoria · 2022
This book has been specifically created to make it easier for professors to offer a law school course on global corruption. It is also designed as a resource tool for all persons working in the anti-corruption field. The book is issued under a creative commons license and can be used for free in whole or in part for non-commercial purposes. The first chapter sets out the general context of global corruption: its nature and extent, and some views on its historical, social, economic and political dimensions. Each subsequent chapter sets out international standards and requirements in respect to combatting corruption – mainly in the UN Convention Against Corruption (UNCAC) and the OECD Bribery of Foreign Officials Convention (OECD Convention). The laws of the United States and United Kingdom are then set out as examples of how those Convention standards and requirements are met in two influential jurisdictions. Finally, the law of Canada is set out. Thus, a professor from Africa, Australia, New Zealand or English speaking countries in Asia and Europe has a nearly complete coursebook – for example, that professor can delete the Canadian sections of this book and insert the law and practices of his or her home country in their place. While primarily directed to a law school course on global corruption, this book will be of interest and use to professors teaching courses on corruption from other academic disciplines and to lawyers and other anti-corruption practitioners.