tag:open.umn.edu,2005:/opentextbooks/textbooks?commit=Go&page=9&term=Mathematics+%26+Statistics++Open Textbook Library - Search results for "Mathematics & Statistics "2021-06-28T21:12:50Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png10162023-09-01T00:00:00Z2024-01-14T06:56:03ZLinear Transformations on Vector Spaces<img alt="Read more about Linear Transformations on Vector Spaces" title="Linear Transformations on Vector Spaces cover image" class="cover " width="750" height="971" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6OTMxOCwicHVyIjoiYmxvYl9pZCJ9fQ==--430d90255dce93bf4772ad756327ee0baf94269f/Linear%20Transformations%20resized.png" />Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.9702021-02-14T04:54:41Z2024-01-22T14:52:24ZMeasure, Integration & Real Analysis<img alt="Read more about Measure, Integration & Real Analysis" title="Measure, Integration & Real Analysis cover image" class="cover " width="1221" height="1898" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjA1NiwicHVyIjoiYmxvYl9pZCJ9fQ==--6e95f4bd4267952d35c9372df12353d629b64ceb/MIRAcover.png" />This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.9642021-02-07T05:09:39Z2024-01-22T14:52:24ZSelf-directed multimodal learning in higher education<img alt="Read more about Self-directed multimodal learning in higher education" title="Self-directed multimodal learning in higher education cover image" class="cover " width="160" height="229" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjA0MSwicHVyIjoiYmxvYl9pZCJ9fQ==--9e3a9a23cad78645e9bfe230ee38fc9d507b67aa/thumbnail.png" />This book aims to provide an overview of theoretical and practical considerations in terms of self-directed multimodal learning within the university context. Multimodal learning is approached in terms of the levels of multimodality and specifically blended learning and the mixing of modes of delivery (contact and distance education). As such, this publication will provide a unique snapshot of multimodal practices within higher education through a self-directed learning epistemological lens. The book covers issues such as what self-directed multimodal learning entails, mapping of specific publications regarding blended learning, blended learning in mathematics, geography, natural science and computer literacy, comparative experiences in distance education as well as situated and culturally appropriate learning in multimodal contexts. This book provides a unique focus on multimodality in terms of learning and delivery within the context of self-directed learning. Therefore, the publication would not only advance the scholarship of blended and open distance learning in South Africa, but also the contribute to enriching the discourse regarding self-direction. From this book readers will get an impression of the latest trends in literature in terms of multimodal self-directed learning in South Africa as well as unique empirical work being done in this regard.9572021-01-31T04:25:35Z2024-01-22T14:52:23ZMonitoring Animal Populations and their Habitats: A Practitioner's Guide<img alt="Read more about Monitoring Animal Populations and their Habitats: A Practitioner's Guide" title="Monitoring Animal Populations and their Habitats: A Practitioner's Guide cover image" class="cover " width="350" height="233" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjAxOCwicHVyIjoiYmxvYl9pZCJ9fQ==--a1a216e454aac51cf95f2464d68b60a3b2e0a55e/lazlui-2-1-350x233.jpg" />We designed this book to offer a comprehensive overview of the monitoring process, from start to finish. Although there are books that deal with sampling design and the quantitative analysis of population data, there are few that provide practical advice covering the entire evolution of a monitoring plan from incorporating stakeholder input to data collection to data management and analysis to reporting. This book strives to present an overview of this process. We also acknowledge that any such effort tends to reflect the interests and expertise of the authors, and as such, there is a distinct emphasis on monitoring vertebrate populations and upland habitats. Although many of our examples tend to focus on bird populations and forested habitats, we have made an attempt to cover other taxa and habitat types as well, and many of the recommendations and suggestions that we present are applicable to a diversity of monitoring programs. This book was written to fill a practical need and also to embrace a set of values that we hold dear. We wanted a book that could be used in a classroom because we feel that students in natural resources programs need to know how to design a monitoring program when they enter the workforce. We also realize that many former students now in the workforce did not have that training and may find this book of value to them.9532021-01-30T21:04:10Z2024-01-22T14:52:23ZAll Things Flow: Fluid Mechanics for the Natural Sciences<img alt="Read more about All Things Flow: Fluid Mechanics for the Natural Sciences" title="All Things Flow: Fluid Mechanics for the Natural Sciences cover image" class="cover " width="384" height="497" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjAxMywicHVyIjoiYmxvYl9pZCJ9fQ==--e0b39702a6e07412f541ffe811b1399ea77144a3/1769jwgm-front-shortedge-384.jpg" />This book began as lecture notes for an Oregon State University course in fluid mechanics, designed for beginning graduate students in physical oceanography. Because of its fundamental nature, this course is often taken by students outside physical oceanography, e.g., atmospheric science, civil engineering, physics and mathematics. In later courses, the student will discover esoteric fluid phenomena such as internal waves that propagate through the sky, water phase changes that govern clouds, and planetary rotation effects that control large-scale winds and ocean currents. In contrast, this course concerns phenomena that we have all been familiar with since childhood: flows you see in sinks and bathtubs, in rivers, and at the beach. In this context, we develop the mathematical techniques and scientific reasoning skills needed for higher-level courses and professional research.9132020-09-24T04:27:36Z2024-01-22T14:52:12ZThe Discipline of Organizing: 4th Professional Edition<img alt="Read more about The Discipline of Organizing: 4th Professional Edition" title="The Discipline of Organizing: 4th Professional Edition cover image" class="cover " width="350" height="478" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTU3MCwicHVyIjoiYmxvYl9pZCJ9fQ==--d194a2f8a221da079e6bd5cdab0c423e48c10edb/organize.jpg" />We organize things, we organize information, we organize information about things, and we organize information about information. But even though “organizing” is a fundamental and ubiquitous challenge, when we compare these activities their contrasts are more apparent than their commonalities. We propose to unify many perspectives about organizing with the concept of an Organizing System, defined as an intentionally arranged collection of resources and the interactions they support. Every Organizing System involves a collection of resources, a choice of properties or principles used to describe and arrange resources, and ways of supporting interactions with resources. By comparing and contrasting how these activities take place in different contexts and domains, we can identify patterns of organizing. We can create a discipline of organizing in a disciplined way. The 4th edition builds a bridge between organizing and data science. It reframes descriptive statistics as organizing techniques, expands the treatment of classification to include computational methods, and incorporates many new examples of data-driven resource selection, organization, maintenance, and personalization. It introduces a new “data science” category of discipline-specific content, both in the chapter text and in endnotes, marked with [DS] in editions that contain endnotes.8642020-07-03T03:44:42Z2024-01-22T14:52:07ZHybrid-Flexible Course Design<img alt="Read more about Hybrid-Flexible Course Design" title="Hybrid-Flexible Course Design cover image" class="cover " width="328" height="507" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTE3OSwicHVyIjoiYmxvYl9pZCJ9fQ==--fa4c9309c89e6694608e50edb20ad165d57bc9c3/hybridclass.jpg" />This volume provides readers with methods, case stories, and strategies related to Hybrid-Flexible (HyFlex) course design so that they may make decisions about using it themselves and even begin their own HyFlex course (re)design. More specifically, based on the needs identified for their course(s), readers will be able to a) determine if and how HyFlex course design could help them solve critical needs, b) take advantage of emerging opportunities to improve their education practice, enabling them to better serve more students, c) gain an awareness of the HyFlex design, d) find their own innovative HyFlex solution to their specific challenges, and e) begin the HyFlex implementation process using strategies similar to those used by instructors described in this book. The volume describes the fundamental principles of HyFlex design, explains a process for design and development, and discusses implementation factors that instructors have experienced in various higher education institutions. These factors include the drivers, the variations in implementation approaches and constraints, and the results (e.g., student scores, student satisfaction). A series of worksheets provides specific guidance that can be used by individuals or teams engaging in HyFlex design projects at their own institution. Case reports from institutions and faculty who have successfully implemented HyFlex-style courses provide a rich set of real-world stories to draw insights for a reader’s own design setting.8272021-08-25T22:14:16Z2024-01-22T14:52:26ZInformal Calculus with Applications to Biological and Environmental Sciences<img alt="Read more about Informal Calculus with Applications to Biological and Environmental Sciences" title="Informal Calculus with Applications to Biological and Environmental Sciences cover image" class="cover " width="683" height="1024" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjQzMSwicHVyIjoiYmxvYl9pZCJ9fQ==--fd62009f471a9c9a44d1fb1fdc526ccb0dd40c59/informal%20calculus%20book%20cover.jpg" />This book is an approachable introduction to calculus with applications to biology and environmental science. For example, one application in the book is determining the volume of earth moved in the 1959 earthquake that created Quake Lake. Another application uses differential equations to model various biological examples, including moose and wolf populations at Isle Royale National Park, ranavirus in amphibians, and competing species of protozoa. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.8102020-03-01T00:00:20Z2024-01-22T14:52:05ZIntroduction to Curriculum for Early Childhood Education<img alt="Read more about Introduction to Curriculum for Early Childhood Education" title="Introduction to Curriculum for Early Childhood Education cover image" class="cover " width="558" height="722" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NzY5LCJwdXIiOiJibG9iX2lkIn19--68caf47721bf3759afb9a693635307ded8ae0db4/0000IntCurChi.png" />Welcome to learning about how to effectively plan curriculum for young children. This textbook will address: Developing curriculum through the planning cycle Theories that inform what we know about how children learn and the best ways for teachers to support learning The three components of developmentally appropriate practice Importance and value of play and intentional teaching Different models of curriculum Process of lesson planning (documenting planned experiences for children) Physical, temporal, and social environments that set the stage for children’s learning Appropriate guidance techniques to support children’s behaviors as the self-regulation abilities mature. Planning for preschool-aged children in specific domains including Physical development Language and literacy Math Science Creative (the visual and performing arts) Diversity (social science and history) Health and safety How curriculum planning for infants and toddlers is different from planning for older children Supporting school-aged children’s learning and development in out-of-school time through curriculum planning Making children’s learning visible through documentation and assessment8022020-01-17T20:19:25Z2024-01-22T14:52:05ZIntroduction to Game Theory: a Discovery Approach<img alt="Read more about Introduction to Game Theory: a Discovery Approach" title="Introduction to Game Theory: a Discovery Approach cover image" class="cover " width="652" height="844" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NzYxLCJwdXIiOiJibG9iX2lkIn19--22e6c8ab3f379147eef5812a1fec8b1f8a235c68/0000IntGamThe.png" />Game theory is an excellent topic for a non-majors quantitative course as it develops mathematical models to understand human behavior in social, political, and economic settings. The variety of applications can appeal to a broad range of students. Additionally, students can learn mathematics through playing games, something many choose to do in their spare time! This text also includes an exploration of the ideas of game theory through the rich context of popular culture. It contains sections on applications of the concepts to popular culture. It suggests films, television shows, and novels with themes from game theory. The questions in each of these sections are intended to serve as essay prompts for writing assignments. Ancillary material are available to verified course instructors by emailing jfirkins@linfield.edu
https://open.umn.edu/opentextbooks/textbooks?commit=Go&page=8&term=Mathematics+%26+Statistics++
https://open.umn.edu/opentextbooks/textbooks?commit=Go&page=10&term=Mathematics+%26+Statistics++