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Textbooks, references and open learning resources.
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Intermediate Algebra
John Redden · Saylor Foundation · 2012
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 and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines. Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.
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Linear Algebra
Jim Hefferon · Jim Hefferon · 2016
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.
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Elementary Algebra
John Redden · Saylor Foundation · 2011
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. This text is, by far, the best elementary algebra textbook offered under a Creative Commons license. It is written in such a way as to maintain maximum flexibility and usability. A modular format was carefully integrated into the design. For example, certain topics, like functions, can be covered or omitted without compromising the overall flow of the text. An introduction of square roots in Chapter 1 is another example that allows for instructors wishing to include the quadratic formula early to do so. Topics such as these are carefully included to enhance the flexibility throughout. This textbook will effectively enable traditional or nontraditional approaches to elementary algebra. This, in addition to robust and diverse exercise sets, provides the base for an excellent individualized textbook instructors can use free of needless edition changes and excessive costs! A few other differences are highlighted below: Equivalent mathematical notation using standard text found on a keyboard A variety of applications and word problems included in most exercise sets Clearly enumerated steps found in context within carefully chosen examples Alternative methods and notation, modularly integrated, where appropriate Video examples available, in context, within the online version of the textbook Robust and diverse exercise sets with di
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College Algebra
Carl Stitz; Jeff Zeager · Stitz Zeager Open Source Mathematics · 2013
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. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The authors also offer a Precalculus version of this text, which has two extra chapters covering Trigonometry.
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A First Course in Linear Algebra
Robert Beezer · Robert Beezer · 2015
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way. A unique feature of this book is that chapters, sections and theorems are labeled rather than numbered. For example, the chapter on vectors is labeled "Chapter V" and the theorem that elementary matrices are nonsingular is labeled "Theorem EMN." Another feature of this book is that it is designed to integrate SAGE, an open source alternative to mathematics software such as Matlab and Maple. The author includes a 45-minute video tutorial on SAGE and teaching linear algebra. This textbook has been used in classes at: Centre for Excellence in Basic Sciences, Westmont College, University of Ottawa, Plymouth State University, University of Puget Sound, University of Notre Dame, Carleton University, Amherst College, Felician College, Southern Connecticut State University, Michigan Technological University, Mount Saint Mary College, University of Western Australia, Moorpark College, Pacific University, Colorado State University, Smith College, Wilbur Wright College, Central Washington U (Lynwood Center), St. Cloud State University, Miramar College, Loyola Marymount University.
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Prealgebra 2e
Lynn Marecek; MaryAnne Anthony-Smith; Andrea Honeycutt Mathis · OpenStax, Rice University
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. 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. The first edition of Prealgebra by OpenStax is available in web view here.
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Intermediate Algebra 2e
Lynn Marecek; Andrea Honeycutt Mathis · OpenStax, Rice University
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. The first edition of Intermediate Algebra by OpenStax is available in web view here.
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Elementary Algebra 2e
Lynn Marecek; MaryAnne Anthony-Smith; Andrea Honeycutt Mathis · OpenStax, Rice University
Elementary Algebra 2e is designed to meet scope and sequence requirements for a one-semester elementary 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. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. 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. The first edition of Elementary Algebra by OpenStax is available in web view here.
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College Algebra 2e with Corequisite Support
Jay Abramson; Sharon North · OpenStax, Rice University
College Algebra 2e with Corequisite Support integrates comprehensive algebraic principles with effective foundational review. Each textbook section is paired with a thoughtfully developed, topically aligned skills module that prepares students for the course material. The modules include conceptual overviews, worked examples, and guided practice; they incorporate relevant material from OpenStax’s Developmental Math series. To offer the most flexibility as possible, the material within College Algebra 2e with Corequisite Support will be available in several formats. The skills modules can be downloaded and/or printed for use in classes, workshops, or tutoring sessions, and will be provided as both Word and PDF files. The College Algebra 2e with Corequisite Support revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition of College Algebra with Corequisite Support by OpenStax is available in web view here.
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College Algebra 2e
Jay Abramson; Valeree Falduto; Rachael Gross; David Lippman · OpenStax, Rice University
College Algebra 2e 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 addresses the needs of a variety of courses. College Algebra 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. The College Algebra 2e revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition of College Algebra by OpenStax is available in web view here.
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Algebra and Trigonometry 2e
Jay Abramson; Valeree Falduto; Rachael Gross; David Lippman · OpenStax, Rice University
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. The Algebra and Trigonometry 2e revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition of Algebra and Trigonometry by OpenStax is available in web view here.
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Algebra 1
Lynn Marecek; MaryAnne Anthony-Smith; Andrea Honeycutt Mathis; Jay Abramson · OpenStax, Rice University
Algebra 1 is a complete high school algebra curriculum that is 100% aligned with the Texas Essential Knowledge and Skills (TEKS) and the English Language Proficiency Standards (ELPS). OpenStax Algebra 1 is a high-quality instructional material (HQIM) that is flexible enough for core adoption and adaptable enough to support a wide range of teaching strategies and student needs. Algebra 1 is a research-backed curriculum designed to strengthen teaching and learning in all classrooms. The OpenStax Algebra 1 curriculum is structured across nine units that guide students from linear to exponential to quadratic functions, emphasizing how these patterns differ. Students explore mathematical relationships through tables, equations, graphs, and real-world contexts, beginning with patterns of repeated addition or subtraction (linear), moving into multiplication or division (exponential), and culminating in models that both increase and decrease (quadratic). Each unit includes a readiness pre-assessment, multiple content sections, section assessments, and ends with a project, quizzes, and a wrap-up. The curriculum is designed to support coherent instruction, continuous assessment, and student engagement throughout the school year. Through our free, digital teacher guide (available within the “instructor resources” section of the website), teachers receive clear learning targets, prerequisite skill guidance, videos, and a breakdown of the Texas Essential Knowledge and Skills (TEKS) addressed in every lesson. Algebra 1 was authored by OpenStax and is based, in part, on the OpenStax Pre Algebra, Elementary Algebra, Intermediate Algebra, and College Algebra materials, and the IM 6-12TM by Illustrative Mathematics®. Based on OpenStax’s open (CC-BY-NC-SA) license, educators may remix and reuse the elements and content in Algebra 1 according to their approach and learning objectives. OpenStax textbooks are always available free online at openstax.org. If you have encountered a white s
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Intermediate Algebra
OpenStax · Sante Ana College
Álgebra Intermedia está diseñada para cumplir con los requisitos de alcance y secuencia de un curso de álgebra intermedia de un semestre. La organización del libro facilita la adaptación a una variedad de programas de estudios. El texto amplía los conceptos fundamentales del álgebra al tiempo que aborda las necesidades de estudiantes con diversos orígenes y estilos de aprendizaje.
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Fundamentals of Mathematics
Denny Burzynski & Wade Ellis, Jr. · College of Southern Nevada
In the contents: 11: Algebraic Expressions and Equations · 11.01: Algebraic Expressions
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Scientific Computing
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
In the contents: 5: Linear Algebra
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Elementary Number Theory
Wissam Raji · American University of Beirut
In the contents: 1.01: Algebraic Operations With Integers
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MA148: Calculus with Applications
Benjamin Bunck · Butler Community College
MA148 - Calculus with Applications. This course will enable the student to differentiate and integrate algebraic, logarithmic and exponential functions and apply those concepts to real-world business and social-science applications, including marginal analysis. This content is a remix of the Applied Calculus text by Calaway, Hoffman, and Lippman. The primary change to the LibreText edition has been to separate the "chapter" exercise sets into smaller exercise sets for each individual section.
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Applied Probability
Paul Pfeiffer · Rice University
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation.
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Math 142: Precalculus II
LibreTexts
In the contents: 6.02: Vectors from an Algebraic Point of View
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MAT 1350: Precalculus Part I
Jay Abramson · Prince George's Community College
In the contents: 1.01: Real Numbers - Algebra Essentials