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A First Course in Linear Algebra

Contributor: Kuttler

Publisher: Lyryx

License: CC BY

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.

(8 reviews)

Notes on Diffy Qs: Differential Equations for Engineers

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

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)

Psychology - 2e

Contributors: Spielman, Dumper, Jenkins, and Lovett

Publisher: OpenStax

License: CC BY

Psychology 2e is designed to meet scope and sequence requirements for the single-semester introduction to psychology course. The book offers a comprehensive treatment of core concepts, grounded in both classic studies and current and emerging research. The text also includes coverage of the DSM-5 in examinations of psychological disorders. Psychology incorporates discussions that reflect the diversity within the discipline, as well as the diversity of cultures and communities across the globe.

(44 reviews)

Literature, the Humanities, and Humanity

Contributor: Steinberg

Publisher: Open SUNY

License: CC BY-NC-SA

Literature, the Humanities, and Humanity attempts to make the study of literature more than simply another school subject that students have to take. At a time when all subjects seem to be valued only for their testability, this book tries to show the value of reading and studying literature, even earlier literature. It shows students, some of whom will themselves become teachers, that literature actually has something to say to them. Furthermore, it shows that literature is meant to be enjoyed, that, as the Roman poet Horace (and his Renaissance disciple Sir Philip Sidney) said, the functions of literature are to teach and to delight. The book will also be useful to teachers who want to convey their passion for literature to their students. After an introductory chapter that offers advice on how to read (and teach) literature, the book consists of a series of chapters that examine individual literary works ranging from The Iliad to Charles Dickens' Bleak House. These chapters can not substitute for reading the actual works. Rather they are intended to help students read those works. They are attempts to demystify the act of reading and to show that these works, whether they are nearly three thousand or less than two hundred years old, still have important things to say to contemporary readers.

(12 reviews)

The Missing Link: An Introduction to Web Development and Programming

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

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)

Instruction in Functional Assessment

Contributors: Desrochers and Fallon

Publisher: Open SUNY

License: CC BY-NC-SA

Instruction in Functional Assessment introduces learners to functional assessment (FA), which includes a variety of assessment approaches (indirect, observational, and experimental) for identifying the cause of an individual's challenging behavior for the purpose of designing effective treatments. FA is mandated by federal law and is a recognized empirically based approach to treatment of individuals with challenging behaviors (e.g., disruptive, self-injurious, and aggressive behaviors). Instruction in FA is essential for students who will one day enter professions as educators, psychologists, social workers, counselors, or mental health professionals.

(11 reviews)

How We Got from There to Here: A Story of Real Analysis

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

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)