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Notes on Diffy Qs: Differential Equations for Engineers
Copyright Year: 2014
Contributor: Lebl
Publisher: Jirí Lebl
License: CC BY-NC-SA
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. This free online book (e-book in webspeak) should be usable as a stand-alone textbook or as a companion to a course using another book such as Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling or Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (section correspondence to these two is given). I developed and used these notes to teach Math 286/285 at the University of Illinois at Urbana-Champaign Sample Dirichlet problem solution (one is a 4-day-a-week, the other a 3-day-a-week semester-long course). I have also taught Math 20D at University of California, San Diego with these notes (a 3-day-a-week quarter-long course). There is enough material to run a 2-quarter course, and even perhaps a two semester course depending on lecturer speed.
(5 reviews)
Linear Algebra, Theory And Applications
Copyright Year: 2012
Contributor: Kuttler
Publisher: Saylor Foundation
License: CC BY-SA
This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.
(2 reviews)
U.S. History
Copyright Year: 2015
Contributors: Corbett, Janssen, and Lund
Publisher: OpenStax
License: CC BY
U.S. Historycovers the breadth of the chronological history of the United States and also provides the necessary depth to ensure the course is manageable for instructors and students alike. U.S. History is designed to meet the scope and sequence requirements of most courses. The authors introduce key forces and major developments that together form the American experience, with particular attention paid to considering issues of race, class, and gender. The text provides a balanced approach to U.S. history, considering the people, events, and ideas that have shaped the United States from both the top down (politics, economics, diplomacy) and bottom up (eyewitness accounts, lived experience).
(40 reviews)
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.
(8 reviews)
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)
How We Got from There to Here: A Story of Real Analysis
Copyright Year: 2014
Contributors: Rogers and Boman
Publisher: Open SUNY
License: CC BY-NC-SA
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
(3 reviews)
APEX Calculus
Copyright Year: 2014
Contributors: Hartman, Heinold, Siemers, Chalishajar, and Bowen
Publisher: APEX Calculus
License: CC BY-NC
This text comprises a three–text series on Calculus. The first part covers material taught in many “Calc 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6.1. The second text covers material often taught in “Calc 2:” integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 5 through 8. The third text covers topics common in “Calc 3” or “multivariable calc:” parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 9 through 14. More information, including free downloads of .pdf versions of the text, is available at www.apexcalculus.com.
(5 reviews)
Precalculus
Copyright Year: 2014
Contributors: Abramson, Falduto, and Grosss
Publisher: OpenStax
License: CC BY
Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing College Algebra and Algebra and Trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses.
(7 reviews)
Introductory Statistics
Copyright Year: 2013
Contributors: Illowsky, Dean, and Chiappetta
Publisher: OpenStax
License: CC BY
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.
(32 reviews)
Principles of Macroeconomics - 3e
Copyright Year: 2017
Contributors: Greenlaw, Shapiro, and Taylor
Publisher: OpenStax
License: CC BY
Principles of Macroeconomics 3e covers the scope and sequence of most one semester introductory macroeconomics courses. The third edition takes a balanced approach to the theory and application of macroeconomics concepts. The text uses conversational language and ample illustrations to explore economic theories, and provides a wide array of examples using both fictional and real-world scenarios. The third edition has been carefully and thoroughly updated to reflect current data and understanding, as well as to provide a deeper background in diverse contributors and their impacts on economic thought and analysis. For example, the third edition highlights the research and views of a broader group of economists. Brief references and deeply explored socio-political examples have also been updated to showcase the critical – and sometimes unnoticed – ties between economic developments and topics relevant to students.
(17 reviews)