Algebra and Trigonometry 2e

Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry 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.

Material Type: Textbook

Authors: David Lippman, Jay Abramson, Jean-Marie Magnier, Melonie Rasmussen, Nicholas Belloit, Rachael Gross, Rick Norwood, Valeree Falduto

Introductory Statistics

Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Material Type: Textbook

Authors: Barbara Ilowsky, Susan Dean

College Algebra 1e (superseded)

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra 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. Note: this resource now links to the second edition, released in 2021. This record is in maintained in OER Commons to allow users to see endorsements, reviews, etc... for the 1st edition.

Material Type: Textbook

Authors: David Lippman, Jay Abramson, Jean-Marie Magnier, Melonie Rasmussen, Nicholas Belloit, Rachael Gross, Rick Norwood, Valeree Falduto

Prealgebra 2e

Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra 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.

Material Type: Textbook

Author: MaryAnne Anthony-Smith

Precalculus

Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way.

Material Type: Textbook

Authors: David Lippman, Jay Abramson, Jean-Marie Magnier, Melonie Rasmussen, Nicholas Belloit, Rachael Gross, Rick Norwood, Valeree Falduto

Calculus Volume 1

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

Material Type: Textbook

Authors: Alfred K. Mulzet, Catherine Abbott, David McCune, David Smith, David Torain, Edwin “Jed” Herman, Elaine A. Terry, Erica M. Rutter, Gilbert Strang, Joseph Lakey, Joyati Debnath, Julie Levandosky, Kirsten R. Messer, Michelle Merriweather, Nicoleta Virginia Bila, Sheri J. Boyd, Valeree Falduto, William Radulovich

Intermedia Algebra 2e

Intermediate Algebra 2e is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses. The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty.

Material Type: Textbook

Authors: Andrea Honeycutt Mathis, Lynn Marecek

Calculus Volume 2

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 series, and parametric equations and polar coordinates.

Material Type: Textbook

Authors: Alfred K. Mulzet, Catherine Abbott, David McCune, David Smith, David Torain, Edwin “Jed” Herman, Elaine A. Terry, Erica M. Rutter, Gilbert Strang, Joseph Lakey, Joyati Debnath, Julie Levandosky, Kirsten R. Messer, Michelle Merriweather, Nicoleta Virginia Bila, Sheri J. Boyd, Valeree Falduto, William Radulovich

Introductory Business Statistics

Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

Material Type: Textbook

Authors: Alexander Holmes, Barbara Illowsky, Susan Dean, Veda Roodal Persad

Calculus Volume 3

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, functions of several variables, multiple integration, and second-order differential equations.

Material Type: Textbook

Authors: Alfred K. Mulzet, Catherine Abbott, David McCune, David Smith, David Torain, Edwin “Jed” Herman, Elaine A. Terry, Erica M. Rutter, Gilbert Strang, Joseph Lakey, Joyati Debnath, Julie Levandosky, Kirsten R. Messer, Michelle Merriweather, Nicoleta Virginia Bila, Sheri J. Boyd, Valeree Falduto, William Radulovich

Introductory Algebra, Third Edition

A community college level textbook that provides non-STEM students with a high-quality and academically rigorous book.

Material Type: Textbook

Authors: Barbara Tozzi, Linda Wang

Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student's place, and have chosen to err on the side of too much detail rather than not enough. An elementary text can't be better than its exercises. This text includes 2041 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and defonitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 299 completely worked out examples. Where appropriate, concepts and results are depicted in 188 figures

Material Type: Textbook

Author: William F. Trench

A First Course in Linear Algebra - 10th Edition

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. All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.

Material Type: Homework/Assignment, Lecture Notes, Textbook

Authors: Adapted by Lyryx Learning, K. Kuttler

Linear Algebra

Linear Algebra is a text for a first US undergraduate Linear Algebra course. It is Free. You can use it as a main text, as a supplement, or for independent study.

Material Type: Textbook

Author: Jim Hefferon

Linear Algebra with Applications

After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning. Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work. The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).

Material Type: Textbook

Author: W. Keith Nicholson

Multivariable Calculus

This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required.

Material Type: Textbook

Author: Don Shimamoto

Introduction to Logic and Critical Thinking

This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a formal logic textbook, but is closer to what one would find marketed as a critical thinking textbook. Downloadable as a pdf file.

Material Type: Textbook

Author: Matthew J. Van Cleave

Modern Philosophy

This is a textbook (or better, a workbook) in modern philosophy. It combines readings from primary sources with two pedagogical tools. Paragraphs in italics introduce figures and texts. Numbered study questions (also in italics) ask students to reconstruct an argument or position from the text, or draw connections among the readings. And I have added an introductory chapter (Chapter 0 – Minilogic and Glossary), designed to present the basic tools of philosophy and sketch some principles and positions. The immediate goal is to encourage students to grapple with the ideas rather than passing their eyes over the texts. This makes for a better classroom experience and permits higher-level discussions. Another goal is to encourage collaboration among instructors, as they revise and post their own versions of the book.

Material Type: Textbook

Authors: Alexander Dunn, Walter Ott

Consciousness Studies

Everyone has their own view of the nature of consciousness based on their education and background. The intention of this book is to expand this view by providing an insight into the various ideas and beliefs on the subject as well as a review of current work in neuroscience. The neuroscientist should find the philosophical discussion interesting because this provides first-person insights into the nature of consciousness and also provides some subtle arguments about why consciousness is not a simple problem. The student of philosophy will find a useful introduction to the subject and information about neuroscience and physics that is difficult to acquire elsewhere.

Material Type: Textbook

An Introduction to Philosophy

The goal of this text is to present philosophy to newcomers as a living discipline with historical roots. While a few early chapters are historically organized, the goal in the historical chapters is to trace a developmental progression of thought that introduces basic philosophical methods and frames issues that remain relevant today. Later chapters are topically organized. These include philosophy of science and philosophy of mind, areas where philosophy has shown dramatic recent progress. This text concludes with four chapters on ethics, broadly construed. Traditional theories of right action is covered in a third of these. Students are first invited first to think about what is good for themselves and their relationships in a chapter of love and happiness. Next a few meta-ethical issues are considered; namely, whether they are moral truths and if so what makes them so. The end of the ethics sequence addresses social justice, what it is for one's community to be good. Our sphere of concern expands progressively through these chapters. Our inquiry recapitulates the course of development into moral maturity. Over the course of the text, the author has tried to outline the continuity of thought that leads from the historical roots of philosophy to a few of the diverse areas of inquiry that continue to make significant contributions to our understanding of ourselves and the world we live in.

Material Type: Textbook

Author: W. Russ Payne