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Learning Statistics with R: A tutorial for psychology students and other beginners
Danielle Navarro · Danielle Navarro · 2018
Learning Statistics with R covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software. The book discusses how to get started in R as well as giving an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book.
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Introduction to GNU Octave: A brief tutorial for linear algebra and calculus students
Jason Lachniet · Jason Lachniet · 2017
This brief book provides a noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college: linear algebra, calculus, and differential equations.
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Linear Algebra with Applications
W. Keith Nicholson · Lyryx · 2023
The aim of this textbook is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work. The content has enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners, whereas Chapters 5–9 contain a second semester course. The textbook is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).
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Discrete Mathematics: An Open Introduction
Oscar Levin · Oscar Levin · 2024
Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math and computer science majors. The book is especially well-suited for courses that incorporate inquiry-based learning. Since Spring 2013, the book has been used as the primary textbook or a supplemental resource at more than 200 colleges and universities around the world (see the partial adoptions list). After many years of development, I am pleased to announce that the 4th edition of Discrete Mathematics: an Open Introduction is now available, here and on Runestone Academy. The new edition brings many improvements and a new organization of content. In particular, the book now starts with logic and proofs, then practices those proofs with graph theory. The second half of the book contains material on counting (with a new "application to probability" section) and sequences. Over the last few years, I have found that students have more success with this arrangement. There is also a stronger emphasis on discrete structures, which should make the book more useful for students in computer science, while still focusing on understanding mathematical concepts essential for math majors and future math teachers.
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Precalculus
Thomas Tradler; Holly Carley · CUNY Academic Works · 2015
These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems. This course in precalculus has the overarching theme of “functions.” This means that many of the often more algebraic topics studied in the previous courses are revisited under this new function theoretic point of view. However, in order to keep this text as self contained as possible we always recall all results that are necessary to follow the core of the course even if we assume that the student has familiarity with the formula or topic at hand. After a first introduction to the abstract notion of a function, we study polynomials, rational functions, exponential functions, logarithmic functions, and trigonometric functions with the function viewpoint. Throughout, we will always place particular importance to the corresponding graph of the discussed function which will be analyzed with the help of the TI-84 calculator as mentioned above. These are in fact the topics of the first four (of the five) parts of this precalculus course. In the fifth and last part of the book, we deviate from the above theme and collect more algebraically oriented topics that will be needed in calculus or other advanced mathematics courses or even other science courses. This part includes a
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Spiral Workbook for Discrete Mathematics
Harris Kwong · Open SUNY · 2015
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students' problem-solving and writing skills.Open SUNY Textbooks is an open access textbook publishing initiative established by State University of New York libraries and supported by SUNY Innovative Instruction Technology Grants. This initiative publishes high-quality, cost-effective course resources by engaging faculty as authors and peer-reviewers, and libraries as publishing service and infrastructure. The pilot launched in 2012, providing an editorial framework and service to authors, students and faculty, and establishing a community of practice among libraries. Participating libraries in the 2012- 2013 pilot include SUNY Geneseo, College at Brockport, College of Environmental Science and Forestry, SUNY Fredonia, Upstate Medical University, and University at Buffalo, with support from other SUNY libraries and SUNY Press. More information can be found at http://textbooks.opensuny.org.
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Abstract Algebra: Theory and Applications
Thomas Judson · University of Puget Sound · 2016
This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly. Until recently most abstract algebra texts included few if any applications. However, one of the major problems in teaching an abstract algebra course is that for many students it is their first encounter with an environment that requires them to do rigorous proofs. Such students often find it hard to see the use of learning to prove theorems and propositions; applied examples help the instructor provide motivation. This text contains more material than can possibly be covered in a single semester. Certainly there is adequate material for a two-semester course, and perhaps more; however, for a one-semester course it would be quite easy to omit selected chapters and still have a useful text. The order of presentation of topics is standard: groups, then rings, and finally fields. Emphasis can be placed either on theory or on applications. A typical one-semester course might cover groups and rings while briefly touching on field theory, using Chapters 1 through 6, 9, 10, 11, 13 (the first part), 16, 17, 18 (the first part), 20, and 21. Parts of these chapters could be deleted and applications substituted according to the interests of the students and the instructor. A two-semester course emphasizing theory might cover Chapters 1 through 6, 9, 10, 11, 13
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A First Course in Linear Algebra
Ken Kuttler · Lyryx · 2023
This text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra. All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.
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Introductory Statistics
Barbara Illowsky; Susan Dean; Daniel Birmajer; Bryan Blount · OpenStax · 2023
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills.
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Introduction to Real Analysis
William Trench · A.T. Still University · 2013
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calculus sequence is the only specific prerequisite for Chapters 1–5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equation, also provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5.
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A First Course in Linear Algebra
Robert Beezer · Robert Beezer · 2015
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way. A unique feature of this book is that chapters, sections and theorems are labeled rather than numbered. For example, the chapter on vectors is labeled "Chapter V" and the theorem that elementary matrices are nonsingular is labeled "Theorem EMN." Another feature of this book is that it is designed to integrate SAGE, an open source alternative to mathematics software such as Matlab and Maple. The author includes a 45-minute video tutorial on SAGE and teaching linear algebra. This textbook has been used in classes at: Centre for Excellence in Basic Sciences, Westmont College, University of Ottawa, Plymouth State University, University of Puget Sound, University of Notre Dame, Carleton University, Amherst College, Felician College, Southern Connecticut State University, Michigan Technological University, Mount Saint Mary College, University of Western Australia, Moorpark College, Pacific University, Colorado State University, Smith College, Wilbur Wright College, Central Washington U (Lynwood Center), St. Cloud State University, Miramar College, Loyola Marymount University.
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The Office of the Presidency: Powers and Responsibilities
Jakob Miller · Jakob Miller · 2025
Popular imagination gives the President of the United States vast, sweeping power. The Constitution tells a different story. This book is about the gap between the two. The Office of the Presidency: Powers and Responsibilities is a free, introductory political science textbook for undergraduate students. It examines the American presidency through the lens of the leadership dilemma — the persistent gap between what the public expects presidents to accomplish and what the office actually empowers them to do. Each chapter explores a key dimension of presidential power: the constitutional origins of the office, nominations and campaigns, the tools and limits of executive authority, the relationship with Congress and the courts, war and foreign policy, and the presidency's management of public opinion and the media. Throughout, the focus is not on the presidents who have held the office, but on the office itself — its surprising constraints, its creative expansions, and the enduring tension between expectation and reality that has shaped every presidency from Washington to the present.
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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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Introduction to Criminal Justice: Operations, Obstacles, and Outcomes
Indigo Koslicki · Indigo Koslicki · 2025
Introduction to Criminal Justice: Operations, Obstacles, and Outcomes is an Open Textbook that brings the foundations of the criminal justice system and current events and issues to an accessible format, where readers may interact with multimedia content in addition to traditional text.
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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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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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Critical Perspectives on Technology and the Family
Susan Walker · University of Minnesota Libraries Publishing · 2022
From the perspective of a long time family practitioner, researcher, and educator, and technology innovator, this textbook offers the first comprehensive view of technology in the family for college students, professionals and the public. Each chapter offers content and a complete reference list, learning activities, ideas for critical blog posting and additional readings. The beginning chapters cover foundational information about our societal use of information and communications technology, family theories and ways of understanding families, and how families differ in their use and access to ICT. The main body of the book (chapters 4-10) covers elements of the family from couple relationships and dating apps, to children’s use and impacts on development from early childhood through young adulthood, use by parents and in the parent-child relationship, shared use by family members, and then topics important to family life: work-family balance and health and financial management and technology. The end of the book pivots to look closely at use by family professionals, the competencies needed to integrate technology into practice, and policy as a proactive and systemic avenue for change. End of book material include an additional reading list and recommended web content, social media and thought leaders. The authors lends her ideas on teaching for critical thinking with an overview at the beginning of the book, and classroom assessment ideas (actually short ways to engage learners in critical thinking activities).
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Humans R Social Media
Diana Daly; Jacquie Kuru; Alexandria Fripp; Nathan Schneider · The University of Arizona · 2024
Social media and humans exist in a world of mutual influence, and humans play central roles in how this influence is mediated and transferred. Originally created by University of Arizona Information scholar Diana Daly, this 2024 "living book" edition of Humans R Social Media welcomes additional authors and features contributions by students to help readers understand how we as humans shape social media, and how social media shapes our world in turn.