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-1-1Rice Virtual Lab in Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=79148
<p>Online statistics open textbook and additional resources to assist students in understanding of statistics. Topics covered include Analysis of Variance, Boxplot, Confidence interval, Contrast among means, Correlated t-test, Correlation, Histogram, Independent groups t-test, Regression, Repeated measures ANOVA, and t-test. <br />The applets in the simulations, demonstrations, an d caste studiesare in the public domain and can therefore be used without restriction. Simulations and demonstrations and source code are available for download. </p>Sun, 06 Apr 2003 08:00:00 GMTDavid Lane Rice UniversityIntroductory Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=334307
<p>'Introductory Statistics follows the scope and sequence of a one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean, which has been widely adopted. Introductory Statistics includes innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful and memorable, so that students can draw a working knowledge from it that will enrich their future studies and help them make sense of the world around them. The text also includes Collaborative Exercises, integration with TI-83,83+,84+ Calculators, technology integration problems, and statistics labs.'</p>Fri, 22 Aug 2008 21:45:20 GMTBarbara Illowsky; Susan Dean DeAnza College; DeAnza CollegeA First Course in Linear Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=297792
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this 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.<br><br>
PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com. <br><br>
GNU Free Documentation LicenseThu, 13 Mar 2008 19:39:13 GMTRobert Beezer University of Pugent SoundAlgebra: Abstract and Concrete
https://www.merlot.org/merlot/viewMaterial.htm?id=313490
The book provides a thorough introduction to "modern'' or "abstract'' algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.Fri, 30 May 2008 07:37:12 GMTFrederick Goodman University of IowaThe Math Open Reference Project
https://www.merlot.org/merlot/viewMaterial.htm?id=350875
A free interactive math textbook on the web. Initially covering high-school geometry.Mon, 17 Nov 2008 19:36:54 GMTJohn Page Math Open Reference ProjectDimensions (geometry)
https://www.merlot.org/merlot/viewMaterial.htm?id=350912
<p>This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a theorem of geometry. There are 9 chapters, each 13 minutes long. The book contains a total of 117 minutes of video, but can also be read as an ordinary textbook.</p><p>The film can be enjoyed by anyone, provided the chapters are well-chosen. There are 9 chapters, each 13 minutes long. Chapters 3-4, 5-6 and 7-8 are double chapters, but apart from that, they are more or less independent of each other.</p>Mon, 17 Nov 2008 19:53:36 GMTMultiple others in credits http://www.dimensions-math.org/Dim_merci_E.htm; Multiple international sponsors; Étienne Ghys; Jos Leys; Aurélien AlvarezA First Course in Linear Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=76448
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">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.</span></span></p>
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">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.</span></span></p>
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">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.</span></span></p>
<p style="margin-bottom: 0cm; line-height: 100%;"><span style="color: #00000a;">Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides</span><span style="color: #00000a;">content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.</span></p>Thu, 07 Mar 2002 08:00:00 GMTK. Kuttler, Adapted by Lyryx Learning Lyryx LearningAlgebra
https://www.merlot.org/merlot/viewMaterial.htm?id=813968
<p>'The Boundless Algebra textbook is a college-level, introductory textbook that covers the important subject of Algebra -- one of the basic building blocks of studies in higher mathematics. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.</p>
<p><br />This textbook covers:<br /><br /><strong>The Building Blocks of Algebra</strong> -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation Solving<br /><br /><strong>Graphs, Functions, and Models</strong> -- Graphing, Functions: An Introduction, Modeling Equations of Lines, Functions Revisited, Algebra of Functions, Transformations<br /><br /><strong>Functions, Equations, and Inequalities</strong> -- Linear Equations and Functions, Complex Numbers, Quadratic Equations, Functions, and Applications, Graphs of Quadratic Functions, Further Equation Solving, Working with Linear Inequalities<br /><br /><strong>Polynomial and Rational Functions</strong> -- Polynomial Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder and Factor Theorems, Zeroes of Polynomial Functions and Their Theorems, Rational Functions, Inequalities, Variation and Problem Solving<br /><br /><strong>Exponents and Logarithms</strong> -- Inverse Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Properties of Logarithmic Functions, Growth and Decay; Compound Interest<br /><br /><strong>Systems of Equations and Matrices</strong> -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial Fractions<br /><br /><strong>Conic Sections</strong> -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and Inequalities<br /><br /><strong>Sequences, Series and Combinatorics</strong> -- Sequences and Series, Arithmetic Sequences and Series, Geometric Sequences and Series, Mathematical Inductions, Combinatorics, The Binomial Theorem, Probability'</p>Wed, 20 Nov 2013 18:04:24 GMTBoundlessCalculus - Class Notes, Practice Tests, and Worksheets with Solutions
https://www.merlot.org/merlot/viewMaterial.htm?id=408892
<p>A collection of Class Notes, Practice Tests, and Worksheets for Calculus. Full solutions are provided. Recommended for Calculus I courses.</p>Sun, 04 Oct 2009 00:41:02 GMTTeodoru Gugoiu La Citadelle, Ontario, CanadaCourse of Linear Algebra and Multidimensional Geometry
https://www.merlot.org/merlot/viewMaterial.htm?id=447773
<p>This is a free, online textbook that can be downloaded as a pdf file. According to the site, "This is a textbook for the course of multidimensional geometry and linear algebra. This course is a part of the basic mathematical education. Therefore, it is taught at Physical and Mathematical Departments in all Universities of Russia during one or two semesters."</p>Tue, 27 Apr 2010 19:42:26 GMTRuslan SharipovData Information Literacy
https://www.merlot.org/merlot/viewMaterial.htm?id=1084667
<p>This book articulates a new area of opportunity for librarians and other information professionals, developing educational programs that introduce graduate students to the knowledge and skills needed to work with research data.</p>Wed, 02 Dec 2015 21:20:32 GMTJake Carlson; Lisa Johnston Purdue University; Purdue UniversityLinear algebra via exterior products
https://www.merlot.org/merlot/viewMaterial.htm?id=447307
<p>This is a free, online textbook. According to Textbook Revolution, "Really explains abstract vectors, tensors, exterior products, determinants, Pfaffians, and more - linear algebra without cumbersome matrix calculations. Suitable as a second course of intermediate to advanced linear algebra. Exercises and example calculations provided."</p>Mon, 26 Apr 2010 21:18:30 GMTSergei Winitzki University of MuenchenLinear Algebra with Applications
https://www.merlot.org/merlot/viewMaterial.htm?id=1374974
<p style="font-weight: normal;">After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.</p>
<p>Overall, the aim of the text 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.</p>
<p>The contents have 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 text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).</p>
<p>Ancillary Materials:</p>
<p>Online Homework System (Lyryx Learning)</p>
<p style="font-weight: normal;">Partial Student Solution Manual, Instructor Solution Manual, Lecture Slides, LaTeX Source Files (all Creative Commons licensed)</p>
<p style="margin-bottom: 0cm; font-weight: normal; line-height: 100%;"> </p>Thu, 05 Apr 2018 19:49:38 GMTW. Keith NicholsonMathematical Reasoning: Writing and Proof
https://www.merlot.org/merlot/viewMaterial.htm?id=800960
<p>'Mathematical Reasoning: Writing and Proof is designed to be a text for the ﬁrst course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:</p><p>To help students learn how to read and understand mathematical deﬁnitions and proofs;</p><p>To help students learn how to construct mathematical proofs;</p><p>To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; and</p><p>To provide students with material that will be needed for their further study of mathematics.'</p>Mon, 14 Oct 2013 22:21:09 GMTTed Sundstrom Grand Valley State UniversitySPSS for Windows 22.0: A Basic Tutorial
https://www.merlot.org/merlot/viewMaterial.htm?id=337126
<p>NOTE: A MORE RECENT EDITION OF THIS TUTORIAL IS NOW AVAILABLE. PLEASE SEE SPSS FOR WINDOWS 23.0: A BASIC TUTORIAL</p>
<p>This OPEN TEXTBOOK is intended for those who want to learn the basics of SPSS (Version 22). This book can be used as a text in a class or by those working independently. It was written as a tutorial. Each chapter has instructions that guide you through a series of problems, as well as graphics showing you what your screen should look like at various steps in the process. The data sets that accompany the text, GSS12A and COUNTRIES, can be downloaded from this website. There are also exercises at the end of each chapter for further practice and more exercises and teaching modules at this same web site. In order to use the software that you will need for this book, you will either have to purchase SPSS or find a computer laboratory in which SPSS has been installed. Most colleges and universities have labs where you can use SPSS. If you purchase SPSS, we suggest you buy the Graduate Pack.</p>Tue, 09 Sep 2008 03:39:18 GMTEd Nelson; Elizabeth Nelson; Linda Fiddler; John Korey California State University, Fresno; California State University, Fresno; California State University, Fresno; California Polytechnic State UniversitySPSS for Windows 23.0: A Basic Tutorial
https://www.merlot.org/merlot/viewMaterial.htm?id=1200513
<p>This OPEN TEXTBOOK is intended for those who want to learn the basics of SPSS (Version 23). This book can be used as a text in a class or by those working independently. It was written as a tutorial. Each chapter has instructions that guide you through a series of problems, as well as graphics showing you what your screen should look like at various steps in the process. The data sets that accompany the text, GSS14A and COUNTRIES, can be downloaded from this website. There are also exercises at the end of each chapter for further practice and more exercises and teaching modules at this same web site. In order to use the software that you will need for this book, you will either have to purchase SPSS or find a computer laboratory in which SPSS has been installed. Most colleges and universities have labs where you can use SPSS. If you purchase SPSS, we suggest you buy the Graduate Pack.</p>Mon, 25 Jul 2016 17:26:50 GMTEd Nelson; John Korey; Elizabeth Nelson; Linda Fiddler California State University, Fresno; California State Polytechnic University, Pomona; California State University, Fresno; California State University, BakersfieldTrigonometry
https://www.merlot.org/merlot/viewMaterial.htm?id=511968
<p>According to The Orange Grove, "This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools. The prerequisites are high school algebra and geometry. Contents: 1) Right Triangle Trigonometry. 2) General Triangles. 3) Identities. 4) Radian Measure. 5) Graphing and Inverse Functions. 6) Additional Topics. Appendix A) Answers and Hints to Selected Exercises. Appendix B) Graphing with Gnuplot."</p>Thu, 06 Jan 2011 20:47:03 GMTMichael CorralDifferential Equations
https://www.merlot.org/merlot/viewMaterial.htm?id=556384
<p>"Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations.</p><p>I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes."</p><p> </p>Fri, 10 Jun 2011 18:53:50 GMTPaul Dawkins Lamar UniversityOpen SUNY Textbooks Initiative
https://www.merlot.org/merlot/viewMaterial.htm?id=1067658
<p>Open SUNY Textbooks Initiative (2012) is an open access textbook initiative by the State University of New York (SUNY) libraries and supported by SUNY Innovative Instruction Technology Grants for developing and publishing at least thirty high-quality, cost-effective, college level open textbooks by various faculty authors. Ten open textbooks (Phase 1) are currently availabe for global use by educators and students, with an additional 16 open textbooks (Phase 2) coming soon. </p>Mon, 28 Sep 2015 10:46:16 GMTKate Pitcher (Editor); Allison Brown (Editor/PM); et al. SUNY/SUNY Libraries/SUNY Press and Affiliated MembersA Gentle Introduction to the Art of Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=800958
<p>'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.</p><p>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.'</p>Mon, 14 Oct 2013 22:13:53 GMTJoseph E. FieldsA simplified introduction to LaTeX
https://www.merlot.org/merlot/viewMaterial.htm?id=447678
<p>This is a free, online textbook. The table of contents can be found here: <a href="http://samizdat.mines.edu/latex/latextoc.ps" target="_blank" rel="nofollow"></a><a href="http://samizdat.mines.edu/latex/latextoc.ps" target="_blank" rel="nofollow">http://samizdat.mines.edu/latex/latextoc.ps</a></p>Tue, 27 Apr 2010 20:40:20 GMTHarvey J. Greenberg University of Colorado at DenverA youtube Calculus Workbook (Part I)
https://www.merlot.org/merlot/viewMaterial.htm?id=803561
<p>This is a free textbook offered by BookBoon.</p><p>'<span>This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level first Calculus course, or equivalently an AP Calculus AB course. The book further provides simple summary of videos, written definitions and statements, worked out examples--even though fully step-by-step solutions are to be found in the videos-- and an index. The playlist and the book are divided into 15 thematic learning modules. At the end of each learning module, one or more quiz with full solutions is provided. Every 3 or 4 modules, a mock test on the previous material, with full solutions, is also provided. This will help you test your knowledge as you go along. The book can be used for self study, or as a textbook for a Calculus course following the “flipped classroom” model.'</span></p>Tue, 22 Oct 2013 20:55:35 GMTFrédéric Mynard Georgia Southern UniversityActive Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=800971
<p>'Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in order to present the standard concepts and computational techniques of calculus. The student activities provide most of the material to be assigned as homework, but since the book does not contain the usual routine exercises, instructors wanting such exercises will need to supply their own or use a homework system such as WebWork. With this approach <em>Active Calculus</em>makes it possible to teach an inquiry based learning course without severely restricting the material covered. Although this book is new, it has been class tested by the author and his colleagues both at their university and elsewhere.</p><p>From the preface:</p><blockquote>Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer a plausibility argument for such results, rarely do we include formal proofs.'</blockquote>Mon, 14 Oct 2013 22:02:17 GMTMatt Boelkins Grand Valley State CollegeActive Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=1084071
<p>c'Several fundamental ideas in calculus are more than 2000 years old. As a formal subdiscipline of mathematics, calculus was first introduced and developed in the late 1600s, with key independent contributions from Sir Isaac Newton and Gottfried Wilhelm Leibniz. Mathematicians agree that the subject has been understood rigorously since the work of Augustin Louis Cauchy and Karl Weierstrass in the mid 1800s when the field of modern analysis was developed, in part to make sense of the infinitely small quantities on which calculus rests. Hence, as a body of knowledge calculus has been completely understood by experts for at least 150 years. The discipline is one of our great human intellectual achievements: among many spectacular ideas, calculus models how objects fall under the forces of gravity and wind resistance, explains how to compute areas and volumes of interesting shapes, enables us to work rigorously with infinitely small and infinitely large quantities, and connects the varying rates at which quantities change to the total change in the quantities themselves.</p>
<p>While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the case that many of the ideas she presents are new. Indeed, the mathematics community broadly agrees on what the main ideas of calculus are, as well as their justification and their importance; the core parts of nearly all calculus textbooks are very similar. As such, it is our opinion that in the 21st century – an age where the internet permits seamless and immediate transmission of information – no one should be required to purchase a calculus text to read, to use for a class, or to find a coherent collection of problems to solve. Calculus belongs to humankind, not any individual author or publishing company. Thus, a main purpose of this work is to present a new calculus text that is free. In addition, instructors who are looking for a calculus text should have the opportunity to download the source files and make modifications that they see fit; thus this text is opensource. Since August 2013, Active Calculus has been endorsed by the American Institute of Mathematics and its Open Textbook Initiative: <a href="http://aimath.org/textbooks/.'" target="_blank" rel="nofollow">http://aimath.org/textbooks/.'</a></p>Mon, 30 Nov 2015 21:57:26 GMTMatthew Boelkins; David Austin; Steven Schlicker Grand Valley State University; Grand Valley State University; Grand Valley State University