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    Read more about Precalculus: An Investigation of Functions

    Precalculus: An Investigation of Functions

    Copyright Year:

    Contributors: Lippman and Rasmussen

    Publisher: David Lippman and Melonie Rasmussen

    License: CC BY-SA

    Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

    (8 reviews)

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    Read more about Calculus for the Life Sciences: A Modeling Approach Volume 1

    Calculus for the Life Sciences: A Modeling Approach Volume 1

    Copyright Year:

    Contributors: Cornette and Ackerman

    Publisher: A.T. Still University

    License: CC BY-NC-ND

    Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

    (1 review)

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    Read more about Vector Calculus

    Vector Calculus

    Copyright Year:

    Contributor: Corral

    Publisher: Michael Corral

    License: Free Documentation License (GNU)

    This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

    (1 review)

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    Read more about Precalculus

    Precalculus

    Copyright Year:

    Contributors: Stitz and Zeager

    Publisher: Stitz Zeager Open Source Mathematics

    License: CC BY-NC-SA

    A casual glance through the Table of Contents of most of the major publishers' College Algebra books reveals nearly isomorphic content in both order and depth. Our Table of Contents shows a different approach, one that might be labeled “Functions First.” To truly use The Rule of Four, that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it seems completely obvious to us that one would need to introduce functions first. (Take a moment and compare our ordering to the classic “equations first, then the Cartesian Plane and THEN functions” approach seen in most of the major players.) We then introduce a class of functions and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications which involve functions in that class.

    (2 reviews)

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    Read more about College Trigonometry

    College Trigonometry

    Copyright Year:

    Contributors: Stitz and Zeager

    Publisher: Stitz Zeager Open Source Mathematics

    License: CC BY-NC-SA

    Covers chapters 10-11 of Precalculus.

    (2 reviews)

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    Read more about Whitman Calculus

    Whitman Calculus

    Copyright Year:

    Contributor: Guichard

    Publisher: David Guichard

    License: CC BY-NC-SA

    An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

    (6 reviews)

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    Read more about Linear Algebra

    Linear Algebra

    Copyright Year:

    Contributor: Hefferon

    Publisher: Jim Hefferon

    License: CC BY-SA

    This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues, as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises, including proofs, beamer slides for classroom use, and a lab manual for computer work. The approach is developmental. Although everything is proved, it introduces the material with a great deal of motivation, many computational examples, and exercises that range from routine verifications to a few challenges. Ancillary materials are available at the publisher link.

    (4 reviews)

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    Read more about College Algebra

    College Algebra

    Copyright Year:

    Contributors: Stitz and Zeager

    Publisher: Stitz Zeager Open Source Mathematics

    License: CC BY-NC-SA

    College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely.

    (11 reviews)

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    Read more about Book of Proof - Third Edition

    Book of Proof - Third Edition

    Copyright Year:

    Contributor: Hammack

    Publisher: Richard Hammack

    License: CC BY-ND

    This is a book about how to prove theorems.

    (6 reviews)

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    Read more about Elementary Algebra

    Elementary Algebra

    Copyright Year:

    Contributor: Redden

    Publisher: Saylor Foundation

    License: CC BY-NC-SA

    It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

    (12 reviews)

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