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    Read more about A Gentle Introduction to the Art of Mathematics

    A Gentle Introduction to the Art of Mathematics

    Copyright Year:

    Contributor: Fields

    Publisher: A.T. Still University

    License: Free Documentation License (GNU)

    This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.

    (2 reviews)

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    Read more about Precalculus

    Precalculus

    Copyright Year:

    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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    Read more about Linear Algebra

    Linear Algebra

    Copyright Year:

    Contributors: Cherney, Denton, and Waldon

    Publisher: University of California, Davis

    License: CC BY-NC-SA

    We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.

    (2 reviews)

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    Read more about A Computational Introduction to Number Theory and Algebra

    A Computational Introduction to Number Theory and Algebra

    Copyright Year:

    Contributor: Shoup

    Publisher: Cambridge University Press

    License: CC BY-NC-ND

    All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.

    (3 reviews)

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    Read more about Active Calculus 2.0

    Active Calculus 2.0

    Copyright Year:

    Contributors: Boelkins, Austin, and Schlicker

    Publisher: Grand Valley State University

    License: CC BY-NC-SA

    Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

    (13 reviews)

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    Read more about Elementary Differential Equations with Boundary Value Problems

    Elementary Differential Equations with Boundary Value Problems

    Copyright Year:

    Contributor: Trench

    Publisher: A.T. Still University

    License: CC BY-NC-SA

    Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

    (9 reviews)

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    Read more about Algorithms and Data Structures With Applications to Graphics and Geometry

    Algorithms and Data Structures With Applications to Graphics and Geometry

    Copyright Year:

    Contributors: Nievergelt and Hinrichs

    Publisher: Global Text Project

    License: CC BY

    An introductory coverage of algorithms and data structures with application to graphics and geometry.

    (1 review)

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    Read more about Fundamentals of Mathematics

    Fundamentals of Mathematics

    Copyright Year:

    Contributors: Burzynski and Ellis

    Publisher: OpenStax CNX

    License: CC BY

    Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who:

    (8 reviews)

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    Read more about Intermediate Algebra

    Intermediate 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.

    (3 reviews)

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    Read more about Calculus for the Life Sciences: A Modeling Approach Volume 2

    Calculus for the Life Sciences: A Modeling Approach Volume 2

    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.

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