Results: 12 Open Textbooks
  • Calculus: Early Transcendentals

    Author(s): David Guichard, Whitman College, Lyryx Learning Team, Jim Bailey, College of the Rockies, Mark Blenkinsop, Carleton University, Michael Cavers, University of Calgary, Gregory Hartman, Virginia Military Institute, Joseph Ling, University of Calgary

    Updated: Sep 17, 2020

    Description: Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses. To practice and ...[more]

    Supplementary materials

  • Basic Analysis: Introduction to Real Analysis - Volume 2

    Author(s): Jiri Lebl

    Updated: Aug 5, 2020

    Description: This book is a continuation of Basic Analysis: Introduction to Real Analysis - Volume 1. Volume II continues into multivariable analysis, starting with differential calculus, including inverse and implicit function theorems, continuing with differentiation under the integral and path integrals, which are often not covered in a course like this, and multivariable Riemann integral. Finally, there is also a chapter on power series, Arzelà–Ascoli, Stone–Weierstrass, and Fourier series. Together, th...[more]

  • Basic Analysis I: Introduction to Real Analysis - Volume 1

    Author(s): Jiri Lebl

    Updated: Aug 5, 2020

    Description: This is a course in undergraduate real analysis, also known as advanced calculus. The book works for both basic courses for students who do not necessarily wish to go to graduate school and also more advanced courses that prepare students for graduate study and cover topics such as metric spaces. A prerequisite for the course is a basic proof course. This book starts with analysis on the real line, going through sequences, series, and then into continuity, the derivative, and the Riemann integr...[more]

  • Tasty Bits of Several Complex Variables

    Author(s): Jiri Lebl

    Updated: Aug 5, 2020

    Description: This book is a polished version of the author’s notes for a course entitled Several Complex Variables. It should be suitable for a semester-long topics course or for self-study as an introduction to the subject. The prerequisites are decent knowledge of vector calculus, basic real analysis, and a working knowledge of complex analysis in one variable. It should be accessible to beginning graduate students after a complex analysis course, and perhaps even very advanced undergraduates. This is eno...[more]

  • Active Calculus Multivariable

    Author(s): Steve Schlicker, David Austin, Matt Boelkins; Grand Valley State University

    Updated: May 8, 2020

    Description: In Active Calculus Multivariable, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally include...[more]

    Reviewed

  • Calculus: Volume 3 (OpenStax)

    Author(s): Gilbert Strang, Edwin “Jed” Herman

    Updated: Mar 13, 2020

    Description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, fun...[more]

    Reviewed Accessible Supplementary materials

  • Calculus: Volume 2 (OpenStax)

    Author(s): Gilbert Strang, Edwin “Jed” Herman

    Updated: Feb 26, 2020

    Description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and serie...[more]

    Adopted Accessible Supplementary materials

  • Calculus: Volume 1 (OpenStax)

    Author(s): Gilbert Strang, Edwin “Jed” Herman

    Updated: Feb 26, 2020

    Description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

    Reviewed Adopted Accessible Supplementary materials

  • Precalculus (OpenStax)

    Author(s): Jay Abramson, Arizona State University

    Updated: Feb 26, 2020

    Description: Published by OpenStax, 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...[more]

    Reviewed Adopted Accessible Supplementary materials

  • Differential Calculus for the Life Sciences

    Author(s): Leah Edelstein-Keshet, University of British Columbia

    Updated: May 10, 2019

    Description: Calculus arose as a tool for solving practical scientific problems through the centuries. However, it is often taught as a technical subject with rules and formulas (and occasionally theorems), devoid of its connection to applications. In this textbook, the applications form an important focal point, with emphasis on life sciences. This places the techniques and concepts into practical context, as well as motivating quantitative approaches to biology taught to undergraduates. While many of the ...[more]

    Adopted

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