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Read more about Applied Probability

Applied Probability

Copyright Year: 2009

Contributor: Pfeiffer

Publisher: OpenStax CNX

License: CC BY

This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired.

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Read more about Conversa Brasileira

Conversa Brasileira

Copyright Year: 2013

Contributor: Kelm

Publisher: COERLL

License: CC BY

Conversa Brasileira is an online open access site that contains a series of 35 video scenarios in which Brazilians talk about their daily activities, everything from hobbies to shopping, and from traffic jams to soccer games. These materials are designed to help intermediate- and advanced-level learners of Portuguese to analyze the way that Brazilians really talk and improve in their own proficiency and fluency. This textbook provides a hardcopy of all of the online materials, including the dialog transcriptions, English translations, and lesson notes that link to the original website.

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Read more about Yorùbá Yé Mi

Yorùbá Yé Mi

Copyright Year: 2014

Contributor: Mosadomi

Publisher: COERLL

License: CC BY-NC-ND

The Yorùbá Yé Mi textbook, combined with an open access, multi-media website at http://www.coerll.utexas.edu/yemi, is an interactive, communicative, introductory Yorùbá program. It provides college/university students with basic listening, speaking, reading, and writing skills of language learning in Yorùbá. It exposes the learner not only to Yorùbá language in meaningful situations but also to the culture of the Yorùbá-speaking people of South-western Nigeria. It contains effective techniques for teaching and learning Yorùbá including tones, and is user friendly in its approach.

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Read more about Precalculus

Precalculus

Copyright Year: 2015

Contributors: Tradler and Carley

Publisher: CUNY Academic Works

License: CC BY-NC-SA

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 discussion of the algebra of complex numbers (in particular complex numbers in polar form), the 2-dimensional real vector space R 2 sequences and series with focus on the arithmetic and geometric series (which are again examples of functions, though this is not emphasized), and finally the generalized binomial theorem.

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Read more about Spatial Thinking in Planning Practice: An Introduction to GIS

Spatial Thinking in Planning Practice: An Introduction to GIS

Copyright Year: 2014

Contributors: Fang, Shandas, and Cordero

Publisher: Portland State University Library

License: CC BY-NC

The goals of this textbook are to help students acquire the technical skills of using software and managing a database, and develop research skills of collecting data, analyzing information and presenting results. We emphasize that the need to investigate the potential and practicality of GIS technologies in a typical planning setting and evaluate its possible applications. GIS may not be necessary (or useful) for every planning application, and we anticipate these readings to provide the necessary foundation for discerning its appropriate use. Therefore, this textbook attempts to facilitate spatial thinking focusing more on open-ended planning questions, which require judgment and exploration, while developing the analytical capacity for understanding a variety of local and regional planning challenges.

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Read more about Introduction to Human Osteology

Introduction to Human Osteology

Copyright Year: 2010

Contributors: Hall, Beals, Neumann, Neumann, and Madden

Publisher: Grand Valley State University

License: CC BY-NC

This text was designed for use in the human osteology laboratory classroom. Bones are described to aid in identification of skeletonized remains in either an archaeological or forensic anthropology setting. Basic techniques for siding, aging, sexing, and stature estimation are described. Both images of bone and drawings are included which may be used for study purposes outside of the classroom. The text represents work that has been developed over more than 30 years by its various authors and is meant to present students with the basic analytical tools for the study of human osteology.

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Read more about The Missing Link: An Introduction to Web Development and Programming

The Missing Link: An Introduction to Web Development and Programming

Copyright Year: 2014

Contributor: Mendez

Publisher: Open SUNY

License: CC BY-NC-SA

Web development is an evolving amalgamation of languages that work in concert to receive, modify, and deliver information between parties using the Internet as a mechanism of delivery. While it is easy to describe conceptually, implementation is accompanied by an overwhelming variety of languages, platforms, templates, frameworks, guidelines, and standards. Navigating a project from concept to completion often requires more than mastery of one or two complementing languages, meaning today's developers need both breadth, and depth, of knowledge to be effective.

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Read more about Guidelines for Improving the Effectiveness of Boards of Directors of Nonprofit Organizations

Guidelines for Improving the Effectiveness of Boards of Directors of Nonprofit Organizations

Copyright Year: 2014

Contributors: Harrison and Murray

Publisher: Open SUNY

License: CC BY-NC-SA

The purpose of this book is to help boards of directors of nonprofit organizations improve their performance after completing the online board self-assessment tool found at www.boardcheckup.com. However, it can also be used as a stand-alone resource for any board seeking to enhance its effectiveness in that it also contains the diagnostic questions on which the online tool is based.

(6 reviews)

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Read more about Combinatorics Through Guided Discovery

Combinatorics Through Guided Discovery

Copyright Year: 2004

Contributor: Bogart

Publisher: Kenneth P. Bogart

License: Free Documentation License (GNU)

This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.

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Read more about Precalculus

Precalculus

Copyright Year: 2016

Contributors: Collingwood, Prince, and Conroy

Publisher: A.T. Still University

License: Free Documentation License (GNU)

Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind:

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