Recently added materials to MERLOT
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Recently added materials to MERLOTCopyright (C) 2018 MERLOT Some Rights ReservedFri, 08 Jun 2018 01:21:21 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
https://www.merlot.org/
-1-1Mathematics for Elementary Teachers
https://www.merlot.org/merlot/viewMaterial.htm?id=1375516
<p>This book was developed at the University of Hawai`i at Mānoa for the Math 111 and 112 (Mathematics for Elementary Teachers I and II) courses. The materials were written by Prof. Michelle Manes with tremendous assistance from lots of people.</p>
<p class="p1">This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.</p>
<p class="p1">The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will:</p>
<p class="p1">• <strong>Make sense of problems and persevere in solving them. </strong>You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more.</p>
<p class="p1">• <strong>Reason abstractly and quantitatively. </strong>You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).</p>
<p class="p1">• <strong>Construct viable arguments and critique the reasoning of others. </strong>You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “<em>Why</em>?” and “<em>How do you know you’re </em><em>right</em>?” Practice asking these questions of yourself, of your professor, and of your fellow students.</p>
<p class="p1">• <strong>Model with mathematics. </strong>You will demonstrate this skill by inventing mathematical notation and drawings to represent physical situations and solve problems.</p>
<p class="p1">• <strong>Use appropriate tools strategically. </strong>You will be expected to use computers, calculators, measuring devices, and other mathematical tools when they are helpful.</p>
<p class="p1">• <strong>Attend to precision. </strong>You will write and express mathematical ideas clearly, using mathematical terms properly, providing clear definitions and descriptions of your ideas, and distinguishing between similar ideas (for example “factor” versus “multiple”.)</p>
<p class="p1">• <strong>Look for and make use of mathematical structure. </strong>You will find, describe, and most importantly explain patterns that come up in various situations including problems, tables of numbers, and algebraic expressions.</p>
<p class="p1">• <strong>Look for and express regularity in repeated reasoning. </strong>You will demonstrate this skill by recognizing (and expressing) when calculations or ideas are repeated, and how that can be used to draw mathematical conclusions (for example why a decimal must repeat) or develop shortcuts to calculations.</p>
<p class="p1">Throughout the book, you will <strong>learn how to learn </strong>mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.</p>Fri, 08 Jun 2018 01:21:21 GMTCengage OpenNow College Success Reading & Learning Objectives
https://www.merlot.org/merlot/viewMaterial.htm?id=1375374
<p>Students first discover what they want from their education, then build a plan to get there. This content takes students through the steps to successfully navigate their journey in higher education. Topics include planning for success, choosing a career path, setting and attaining goals, understanding financial management, developing critical thinking skills, making healthy choices, using effective communication, managing time, developing learning strategies, developing meaningful relationships. Content is available in PDF and Open Document formats and is licensed CC BY. Learning Objectives also are provided. Full course offering available at <a href="https://www.cengage.com/c/opennow-college-success-1e-opennow-cengage">https://www.cengage.com/c/opennow-college-success-1e-opennow-cengage</a> </p>Mon, 21 May 2018 15:53:36 GMTOpenNow from Cengage CengageDalton State College APEX Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=1375215
<p>This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant.</p>
<p>Topics covered in this text include:</p>
<ul>
<li>Limits</li>
<li>Derivatives</li>
<li>Integration</li>
<li>Antidifferentiation</li>
<li>Sequences</li>
<li>Vectors</li>
</ul>
<p>Files can also be downloaded on the Dalton State College GitHub: https://github.com/DaltonStateCollege/calculus-text/blob/master/Calculus.pdf</p>Sat, 05 May 2018 01:49:37 GMTWeBWorK Problems for OpenStax Calculus Volume I
https://www.merlot.org/merlot/viewMaterial.htm?id=1375207
<p>These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform and correspond to chapters in OpenStax Calculus Volume I. They were created by faculty members through a Round Eight Textbook Transformation Grant.</p>Fri, 04 May 2018 22:20:13 GMTWeBWorK Problems for OpenStax Introductory Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=1375206
<p>These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform and correspond to chapters in OpenStax Introductory Statistics. These were developed by faculty members through a Round Eight Textbook Transformation Grant from the University System of Georgia.</p>Fri, 04 May 2018 22:15:24 GMTUnderstanding Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=1375162
<p>This is a book on the understanding of statistical concepts. If you have no knowledge, you will receive basic knowledge, without having to worry much about mathematics. And if you already know something about statistical methods, you will get a better understanding of the ideas behind them. All basic concepts are discussed in detail and illustrated with examples. Learn more about error margins, analysis of variance, significance, confidence intervals, bootstrap, regression, analysis of scale data, variance components and other concepts. All simply explained and illustrated with examples.</p>Mon, 23 Apr 2018 23:12:25 GMTInferential Statistics The Basics for Biostatistics: Volume II
https://www.merlot.org/merlot/viewMaterial.htm?id=1375161
<p>The Medical Field, as other fields, is full of data of all types. The Basics for Biostatistics is written to introduce to the medical reader, the tools and procedures for analyzing the collected data, randomly or by experimentation. The Manuscript introduces the Concepts, Definitions, and Terminology of Statistics, in an easy presentation to read and use efficiently. With that many software tools and programs, as well as calculators, the minimum mathematical background barely surpasses college algebra. The Basics for Biostatistics should prepare the reader to make a good decision based on data.</p>Mon, 23 Apr 2018 22:56:54 GMTExercises in Statistical Inference with detailed solutions
https://www.merlot.org/merlot/viewMaterial.htm?id=1375160
<p>Statistical inference is a process of drawing general conclusions from data in a specific sample. Typical inferential problems are: Does alternative A give higher return than alternative B? Is drug A more effective than drug B? In both cases solutions are based on observations in a single sample.</p>
<p>To solve inferential problems one has to deal with the problems: (i) How to find the best estimate of an unknown quantity, (ii) How to find an interval that covers the true unknown value and (iii) How to test hypothesis about the value of an unknown quantity. The treatment of these issues can be found in a large amount of statistical textbooks. The present book differs from the latter since it focuses on problem solving and only a minimum of the theory needed is presented.</p>Mon, 23 Apr 2018 22:52:11 GMTHuman and Machine Consciousness
https://www.merlot.org/merlot/viewMaterial.htm?id=1375040
<p> </p>
<div>
<div align="justify">Consciousness is widely perceived as one of the most fundamental, interesting and difficult problems of our time. However, we still know next to nothing about the relationship between consciousness and the brain and we can only speculate about the consciousness of animals and machines.</div>
</div>
<div>
<div align="justify"><span style="font-style: italic;">Human and Machine Consciousness</span> presents a new foundation for the scientific study of consciousness. It sets out a bold interpretation of consciousness that neutralizes the philosophical problems and explains how we can make scientific predictions about the consciousness of animals, brain-damaged patients and machines.</div>
</div>
<div>
<div align="justify">Gamez interprets the scientific study of consciousness as a search for mathematical theories that map between measurements of consciousness and measurements of the physical world. We can use artificial intelligence to discover these theories and they could make accurate predictions about the consciousness of humans, animals and artificial systems.<span style="font-style: italic;"> Human and Machine Consciousness</span> also provides original insights into unusual conscious experiences, such as hallucinations, religious experiences and out-of-body states, and demonstrates how ‘designer’ states of consciousness could be created in the future.</div>
</div>
<div align="justify">Gamez explains difficult concepts in a clear way that closely engages with scientific research. His punchy, concise prose is packed with vivid examples, making it suitable for the educated general reader as well as philosophers and scientists. Problems are brought to life in colourful illustrations and a helpful summary is given at the end of each chapter. The endnotes provide detailed discussions of individual points and full references to the scientific and philosophical literature.</div>Thu, 12 Apr 2018 10:11:55 GMTDavid Gamez Middlesex UniversityAdvanced High School Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=1375024
<p>This textbook is part of the OpenIntro Statistics series and offers complete coverage of the high school AP Statistics curriculum. Real data and plenty of inline examples and exercises make this an engaging and readable book. Links to lecture slides, video overviews, calculator tutorials, and video solutions to selected end of chapter exercises make this an ideal choice for any high school or Community College teacher. In fact, Portland Community College recently adopted this textbook for its Introductory Statistics course, and it estimates that this will save their students $250,000 per year. Find out more at: openintro.org/ahss</p>Thu, 12 Apr 2018 03:42:59 GMTDavid Diez; Mine Cetinkaya-Rundel; Christopher Barr; Leah Dorazio OpenIntro; Duke University; Yale School of Management; SF University High SchoolLinear 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 NicholsonElementary Differential Equations with Boundary Value Problems
https://www.merlot.org/merlot/viewMaterial.htm?id=1374821
<p><em>Elementary Differential Equations with Boundary Value Problems</em>is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.</p>
<ul>
<li>An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough. </li>
<li>An elementary text can’t be better than its exercises. This text includes 1695 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. </li>
<li>An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and definitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 250 completely worked out examples. Where appropriate, concepts and results are depicted in 144 figures.</li>
</ul>
<p>Although I believe that the computer is an immensely valuable tool for learning, doing, and writing mathematics, the selection and treatment of topics in this text reflects my pedagogical orientation along traditional lines. However, I have incorporated what I believe to be the best use of modern technology, so you can select the level of technology that you want to include in your course. The text includes 336 exercises – identified by the symbols C and C/G – that call for graphics or computation and graphics. There are also 73 laboratory exercises – identified by L – that require extensive use of technology. In addition, several sections include informal advice on the use of technology. If you prefer not to emphasize technology, simply ignore these exercises and the advice.</p>Tue, 27 Mar 2018 14:58:38 GMTWilliam F. Trench Trinity UniversityElements . of Discrete Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=1374816
<p>Online discrete mathematics textbook with exercises; odd-numbered solutions available</p>Tue, 27 Mar 2018 14:27:25 GMTRichard Hammack Virginia Commonwealth UniversityThink Stats: Probability and Statistics for Programmers
https://www.merlot.org/merlot/viewMaterial.htm?id=1370262
<p><em>Think Stats</em> is an introduction to Probability and Statistics for Python programmers.</p>
<ul>
<li><em>Think Stats </em>emphasizes simple techniques you can use to explore real data sets and answer interesting questions. The book presents a case study using data from the National Institutes of Health. Readers are encouraged to work on a project with real datasets.</li>
<li>If you have basic skills in Python, you can use them to learn concepts in probability and statistics. Think Stats is based on a Python library for probability distributions (PMFs and CDFs). Many of the exercises use short programs to run experiments and help readers develop understanding.</li>
</ul>Tue, 27 Feb 2018 23:30:38 GMTAllen B. Downey Franklin W. Olin College of EngineeringThink Bayes: Bayesian Statistics Made Simple
https://www.merlot.org/merlot/viewMaterial.htm?id=1370247
<p><em>Think Bayes</em> is an introduction to Bayesian statistics using computational methods.</p>
<p>The premise of this book, and the other books in the Think X series, is that if you know how to program, you can use that skill to learn other topics.</p>
<p>Most books on Bayesian statistics use mathematical notation and present ideas in terms of mathematical concepts like calculus. This book uses Python code instead of math, and discrete approximations instead of continuous mathematics. As a result, what would be an integral in a math book becomes a summation, and most operations on probability distributions are simple loops.</p>
<p>I think this presentation is easier to understand, at least for people with programming skills. It is also more general because when we make modeling decisions, we can choose the most appropriate model without worrying too much about whether the model lends itself to conventional analysis. Also, it provides a smooth development path from simple examples to real-world problems.</p>Tue, 27 Feb 2018 23:03:11 GMTAllen B. Downey Franklin W. Olin College of EngineeringPhysical Modeling in MATLAB
https://www.merlot.org/merlot/viewMaterial.htm?id=1370215
<p>Most books that use MATLAB are aimed at readers who know how to program. This book is for people who have never programmed before. As a result, the order of presentation is unusual. The book starts with scalar values and works up to vectors and matrices very gradually. This approach is good for beginning programmers, because it is hard to understand composite objects until you understand basic programming semantics. But there are problems:</p>
<ul>
<li>The MATLAB documentation is written in terms of matrices, and so are the error messages. To mitigate this problem, the book explains the necessary vocabulary early and deciphers some of the messages that beginners find confusing.</li>
<li>Many of the examples in the first half of the book are non-standard MATLAB. I address this problem in the second half by translating the examples into a more idiomatic style.</li>
</ul>
<p>The book puts a lot of emphasis on functions, in part because they are an important tool for controlling program complexity, and also because they are useful for working with MATLAB tools like fzero and ode45. I assume that readers know calculus, differential equations, and physics, but not linear algebra. I explain the math as I go along, but the descriptions might not be enough for someone who hasn't seen the material before. There are small exercises within each chapter, and a few larger exercises at the end of some chapters.</p>Tue, 27 Feb 2018 22:12:06 GMTAllen Downey Franklin W. Olin College of EngineeringFast Fourier Transforms
https://www.merlot.org/merlot/viewMaterial.htm?id=1370163
<p>This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting. This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.</p>Tue, 27 Feb 2018 20:59:16 GMTC. Sidney Burrus Rice UniversityFast Fourier Transforms
https://www.merlot.org/merlot/viewMaterial.htm?id=1370161
<p>This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting. This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.</p>Tue, 27 Feb 2018 20:59:16 GMTC. Sidney Burrus Rice UniversityCombinatorics
https://www.merlot.org/merlot/viewMaterial.htm?id=1370120
<p>Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.</p>
<h4 id="Table-contents">Table of Contents: </h4>
<ul>
<li>Chapter 1. What is Combinatorics? </li>
</ul>
<p><strong>Part I. Enumeration</strong></p>
<ul>
<li>Chapter 2. Basic Counting Techniques </li>
<li>Chapter 3. Permutations, Combinations, and the Binomial Theorem </li>
<li>Chapter 4. Bijections and Combinatorial Proofs</li>
<li>Chapter 5. Counting with Repetitions </li>
<li>Chapter 6. Induction and Recursion </li>
<li>Chapter 7. Generating Functions </li>
<li>Chapter 8. Generating Functions and Recursion</li>
<li>Chapter 9. Some Important Recursively-Defined Sequences </li>
<li>Chapter 10. Other Basic Counting Techniques </li>
</ul>
<p><strong>Part II. Graph Theory</strong></p>
<ul>
<li>Chapter 11. Basics of Graph Theory </li>
<li>Chapter 12. Moving through graphs </li>
<li>Chapter 13. Euler and Hamilton </li>
<li>Chapter 14. Graph Colouring </li>
<li>Chapter 15. Planar graphs </li>
</ul>
<p><strong>Part III. Design Theory</strong></p>
<ul>
<li>Chapter 16. Latin squares </li>
<li>Chapter 17. Designs </li>
<li>Chapter 18. More designs </li>
<li>Chapter 19. Designs and Codes</li>
</ul>Tue, 27 Feb 2018 19:22:07 GMTJoy Morris University of LethbridgeB.C. Campus Open Education: Open Textbook Self-Publishing Guide
https://www.merlot.org/merlot/viewMaterial.htm?id=1368281
<p>B.C. Campus Open Education: Open Textbook Self-Publishing Guide is a practical reference/development tool for individuals or groups wanting to write and publish an open textbook. This guide provides details on the preparation, planning, writing, and publication of an open textbook as well as the importance of editing and proofreading, Copyright, open copyright licenses, and the differences between citation and attribution are discussed. The Self-Publishing Guide by Lauri Aesoph is licenced under a CC-BY 4.0 International Licence, except where otherwise noted.</p>Wed, 21 Feb 2018 02:55:09 GMTLauri M. Aesoph B.C. Campus: Victoria, B.C.Game Theory: An open access textbook with 165 solved exercises
https://www.merlot.org/merlot/viewMaterial.htm?id=1366067
<p>After teaching game theory (at both the undergraduate and graduate level) at the University of California, Davis for 25 years, the author decided to organize all his teaching material in a textbook. There are many excellent textbooks in game theory and there is hardly any need for a new one. However, there are two distinguishing features of this textbook: (1) it is open access and thus free, and (2) it contains an unusually large number of exercises (a total of 165) with complete and detailed answers.</p>
<p>The author tried to write the book in such a way that it would be accessible to anybody with minimum knowledge of mathematics (high-school level algebra and some elementary notions of probability) and no prior knowledge of game theory. However, the book is intended to be rigorous and it includes several proofs. The author believes it is appropriate for an advanced undergraduate class in game theory and also for a first-year graduate-level class.</p>Tue, 13 Feb 2018 16:32:22 GMTGiacomo Bonanno UC DavisIlustrative Mathematics: Fully Developed Standards-based OER C & I for Mathematics 6-8
https://www.merlot.org/merlot/viewMaterial.htm?id=1363725
<p>Illustrative Mathematics (IM) in partnership with Open Up Resources have fully-developed an outstanding, free, high-quality Mathematics OER core-curriculum for school districts. IM is completely OER-based, Common Core Standards aligned with current C & I scope and sequence requirements satisfied for teaching mathematics grades 6-8. IM is a problem-based core mathematics curriculum grades 6-8 that develops student's mathematical skills through questioning, discussion, and real-world contexts and connections. Note: IM is currently developing OER-based curriculum for high school Algebra I, Geometry, and Alegebra II that will coincide with IM 6-8 program. Districts interested in using IM 6-8 can visit im.openupresources.org .</p>Sun, 04 Feb 2018 23:14:21 GMTWilliam G. McCallum (Founder & CEO Ilustrative Mathematics) and Larry Singer (CEO Open Up Resources) Illustrative Mathematics/Open Up Resources: USADemographic Statistics Methods And Measures In Demography
https://www.merlot.org/merlot/viewMaterial.htm?id=1358386
<p>The book is an introduction to advanced demographic techniques and has been designed for researchers and students of demography and statistics as well as social scientists and health workers.</p>Fri, 12 Jan 2018 01:57:27 GMTNicholas N.N. Nsowah-Nuamah Regent University College of Science and TechnologyMathematics Fundamentals
https://www.merlot.org/merlot/viewMaterial.htm?id=1357828
<p>This book is an introduction to basic mathematics and is intended for students who need to reach the minimum level of mathematics required for their sciences, engineering and business studies. It begins by reviewing mathematical ideas usually encountered in early high school, such as fractions, algebra and solving equations. We then build on that base by introducing simultaneous equations, powers, exponentials, and logarithms; quadratic equations; functions and their graphs. We finish with a brief introduction to calculus.</p>Wed, 10 Jan 2018 02:28:48 GMTNazim Khan; Des Hill University of Western Australia; University of Western Australia