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    Read more about Prealgebra - 2e

    Prealgebra - 2e

    Copyright Year:

    Contributors: Marecek and Anthony-Smith

    Publisher: OpenStax

    License: CC BY

    Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra or basic math course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

    (18 reviews)

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    Read more about Algebra and Trigonometry 2e

    Algebra and Trigonometry 2e

    Copyright Year:

    Contributor: Abramson

    Publisher: OpenStax

    License: CC BY

    Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

    (18 reviews)

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    Read more about Linear Algebra, Theory And Applications

    Linear Algebra, Theory And Applications

    Copyright Year:

    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)

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    Read more about Mathematical Reasoning: Writing and Proof, Version 2.1

    Mathematical Reasoning: Writing and Proof, Version 2.1

    Copyright Year:

    Contributor: Sundstrom

    Publisher: Grand Valley State University

    License: CC BY-NC-SA

    Mathematical Reasoning: Writing and Proofis designed to be a text for the ?rst course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students:

    (5 reviews)

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    Read more about Calculus One

    Calculus One

    Copyright Year:

    Contributors: Holowinsky, Thiel, and Lindberg

    Publisher: Mooculus

    License: CC BY-NC-SA

    Calculus is about the very large, the very small, and how things change—the surprise is that something seemingly so abstract ends up explaining the real world.

    (2 reviews)

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    Read more about Abstract Algebra: Theory and Applications

    Abstract Algebra: Theory and Applications

    Copyright Year:

    Contributor: Judson

    Publisher: University of Puget Sound

    License: Free Documentation License (GNU)

    This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

    (4 reviews)

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    Read more about A First Course in Linear Algebra

    A First Course in Linear Algebra

    Copyright Year:

    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)

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    Read more about Notes on Diffy Qs: Differential Equations for Engineers

    Notes on Diffy Qs: Differential Equations for Engineers

    Copyright Year:

    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)

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    Read more about Precalculus

    Precalculus

    Copyright Year:

    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)

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    Read more about APEX Calculus

    APEX Calculus

    Copyright Year:

    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)

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