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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.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Algebras Linear
- Resource Type:
- e-book
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e-book
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable. It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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e-book
This grammar provides a synchronic grammatical description of Mauwake, a Papuan Trans-New Guinea (TNG) language of about 2000 speakers on the north coast of the Madang Province in Papua New Guinea. It is the first book-length treatment of the Mauwake language and the only published grammar of the Kumil subgroup to date. Relying on other existing published and unpublished grammars, the author shows how the language is similar to, or different from, related TNG languages especially in the Madang province. The grammar gives a brief introduction to the Mauwake people, their environment and their culture. Although the book mainly covers morphology and syntax, it also includes ashort treatment of the phonological system and the orthography. The description of the grammatical units proceeds from the words/morphology to the phrases, clauses, sentence types and clause combinations. The chapter on functional domains is the only one where the organization is based on meaning/function rather than structure. The longest chapter in the book is on morphology, with verbs taking the central stage. The final chapter deals with the pragmatic functions theme, topic and focus. 13 texts by native speakers, mostly recorded and transcribed but some originally written, are included in the Appendix with morpheme-by-morpheme glosses and a free translation. The theoretical approach used is that of Basic Linguistic Theory. Language typologists and professional Papuanist linguists are naturally one target audience for the grammar. But also two other possible, and important, audiences influenced especially the style the writing: well educated Mauwake speakers interested in their language, and those other Papua New Guineans who have some basic training in linguistics and are keen to explore their own languages.
- Subjects:
- Foreign Language Learning
- Keywords:
- Language languages -- Grammars Textbooks
- Resource Type:
- e-book
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e-book
This grammar provides the first comprehensive grammatical description of Yakkha, a Sino-Tibetan language of the Kiranti branch. Yakkha is spoken by about 14,000 speakers in eastern Nepal, in the Sankhuwa Sabha and Dhankuta districts. The grammar is based on original fieldwork in the Yakkha community. Its primary source of data is a corpus of 13,000 clauses from narratives and naturally-occurring social interaction which the author recorded and transcribed between 2009 and 2012. Corpus analyses were complemented by targeted elicitation. The grammar is written in a functional-typological framework. It focusses on morphosyntactic and semantic issues, as these present highly complex and comparatively under-researched fields in Kiranti languages. The sequence of the chapters follows the well-established order of phonological, morphological, syntactic and discourse-structural descriptions. These are supplemented by a historical and sociolinguistic introduction as well as an analysis of the complex kinship terminology. Topics such as verbal person marking, argument structure, transitivity, complex predication, grammatical relations, clause linkage, nominalization, and the topography-based orientation system have received in-depth treatment. Wherever possible, the structures found were explained in a historical-comparative perspective in order to shed more light on how their particular properties have emerged.
- Subjects:
- Foreign Language Learning
- Keywords:
- Language languages -- Grammars Yakha language Kiranti languages Textbooks
- Resource Type:
- e-book
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e-book
Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs.Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned. OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Algebra Textbooks
- Resource Type:
- e-book
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e-book
The goal of this text is to present philosophy to newcomers as a living discipline with historical roots. While a few early chapters are historically organized, the goal in the historical chapters is to trace a developmental progression of thought that introduces basic philosophical methods and frames issues that remain relevant today. Later chapters are topically organized. These include philosophy of science and philosophy of mind, areas where philosophy has shown dramatic recent progress. This text concludes with four chapters on ethics, broadly construed. Traditional theories of right action is covered in a third of these. Students are first invited first to think about what is good for themselves and their relationships in a chapter of love and happiness. Next a few meta-ethical issues are considered; namely, whether they are moral truths and if so what makes them so. The end of the ethics sequence addresses social justice, what it is for one's community to be good. Our sphere of concern expands progressively through these chapters. Our inquiry recapitulates the course of development into moral maturity. Over the course of the text, the author has tried to outline the continuity of thought that leads from the historical roots of philosophy to a few of the diverse areas of inquiry that continue to make significant contributions to our understanding of ourselves and the world we live in.
- Subjects:
- Philosophy
- Keywords:
- Discrimination in employment Textbooks
- Resource Type:
- e-book
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e-book
Veterinary nurses need to have a firm grasp of the normal structure of an animal's body and how it functions before they can understand the effect diseases and injuries have and the best ways to treat them. This book describes the structure of the animal body and the way in which it works. Animals encountered in normal veterinary practice are used as examples where possible.
- Subjects:
- Biology
- Keywords:
- Physiology Textbooks Anatomy
- Resource Type:
- e-book
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e-book
In Antiracist Writing Assessment Ecologies, Asao B. Inoue theorizes classroom writing assessment as a complex system that is "more than" its interconnected elements. To explain how and why antiracist work in the writing classroom is vital to literacy learning, Inoue incorporates ideas about the white racial habitus that informs dominant discourses in the academy and other contexts. Inoue helps teachers understand the unintended racism that often occurs when teachers do not have explicit antiracist agendas in their assessments. Drawing on his own teaching and classroom inquiry, Inoue offers a heuristic for developing and critiquing writing assessment ecologies that explores seven elements of any writing assessment ecology: power, parts, purposes, people, processes, products, and places.
- Subjects:
- English Language
- Keywords:
- English language -- Rhetoric -- Study teaching (Higher) Discrimination in higher education United States Textbooks
- Resource Type:
- e-book
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e-book
This textbook provides a toolbox, a guidebook, and an instruction manual for researchers and interventionists who want to conceptualize and study applied problems from a developmental systems perspective, and for those who want to teach their graduate (or advanced undergraduate) students how to do this. It is designed to be useful to practitioners who focus on applied developmental problems, such as improving the important developmental contexts where people live, learn, and work, including the applied professions in education, social work, counseling, health care, community development, and business, all of which at their core are concerned with optimizing the development of their students, clients, patients, workers, citizens, and others whose lives they touch.
- Subjects:
- Psychology and Statistics and Research Methods
- Keywords:
- Developmental psychology Social sciences -- Research Textbooks
- Resource Type:
- e-book
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e-book
This course pack is designed to meet the learning outcomes for Adult Literacy Fundamental English Level 5 (roughly equivalent to grades 6 to 7.5 in the K-12 system). Every chapter includes a level-appropriate, high-interest reading of between 500 and 800 words. The readings are freely available in a separate reader with convenient links to the readings in each chapter of this course pack. Font size and line spacing can be adjusted in the online view, and have been enhanced for the print and PDF versions for easier reading. This course pack has been reviewed by subject experts from colleges and universities.
- Subjects:
- English Language
- Keywords:
- English language -- Study teaching Textbooks
- Resource Type:
- e-book