OER: Open Educational Resources

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.

"Elementary Algebra is designed to meet the scope and sequence requirements of 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." - works with MAT 050

This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry 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.

This course blends Introductory Statistics from OpenStax with other OER to offer a first course in statistics intended for students majoring in fields other than mathematics and engineering. This course assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it.The foundation of the OpenStax text is Collaborative Statistics, by Barbara Illowsky and Susan Dean. The development choices for this textbook were made with the guidance of many faculty members who are deeply involved in teaching this course. These choices led to innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful, so that students can draw from it a working knowledge that will enrich their future studies and help them make sense of the world around them.

This book is designed to be used in any Introductory Statistics course. It focuses on the interpretation of statistical results, especially in real world settings, and assumes that students have an understanding of intermediate algebra. To support today’s student in understanding technology, this book features TI 83, 83+, 84, or 84+ calculator instructions at strategic points throughout.

"Intermediate Algebra 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." - works with MAT 100

These notes explain the applications of basic mathematics to business and industry using ratios, functions and graphs, simple and compound interest, financial instruments and discounting, annuities, mortgages, loans, and leases. Cash-flow analysis applying rates of return, net present value, and payback is included.

The Fundamentals of Mathematics OER textbook has been developed to help students achieve success in mathematics. This text will provide students with learning tools that will help them to improve basic arithmetic skills and to develop reasoning and problem-solving skills.

"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." - works with MAT 101

Business math is the study of mathematics required by the field of business.

Textbook for MAT 102 Numbers and Logic.
Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.

The content of this textbook is aligned with the British Columbia Adult Basic Education learning outcomes for the Advanced Level Business/Technical Mathematics. The textbook covers nine groups of learning outcomes organized in chapters. The first three chapters cover the core learning outcomes: 1. Operations with Real Numbers, 2. First Degree Equations and Inequalities, 3. Equations and their Graphs. The remaining chapters cover the following six topics: 4. Systems of Equations, 5. Trigonometry, 6. Health Option, 7. Finance, 8. Data Analysis 1, 9. Data Analysis 2.

"This developmental-level mathematics textbook is intended for career-technical students." - Works with MAT 104

This developmental-level mathematics textbook is intended for career-technical students. The textbook introduces the fundamental concepts of general mathematics, measurement, geometry, algebra, and problem solving.

Textbook for MAT 109 Quantitative Analysis & MAT 122 College Algebra.

This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively.

This book is designed to be used in any Trigonometry course. The book is useful to students in a variety of programs - for example, students who have encountered elements of triangle trigonometry in previous courses may be able to skip all or part of Chapters 1 through 3. Students preparing for technical courses may not need much of the material after Chapter 6 or 7. Chapters 9 and 10 cover vectors and polar coordinates, optional topics that occur in some trigonometry courses but are often reserved for precalculus.

This book covers the major topics within the study of trigonometry, including vectors and their applications.

Textbook for MAT 109 Quantitative Analysis & MAT 122 College Algebra.

Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/.. Editable versions of the chapters are available as well.

This textbook is written to accompany TBUS 301 – Quantitative Analysis for Business. As a result, it will include chapters for the pre-course review (the material you should come in knowing), the calculus and finance sections, and the statistics sections of the course. As a textbook, it will give you background and examples that won’t be covered directly in class. As a tailored textbook, though, there won’t be multiple chapters that aren’t covered in the course.

Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/.. Editable versions of the chapters are available as well.

Textbook for MAT 109 Quantitative Analysis & MAT 122 College Algebra.

"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." - works with MAT 122

This book is designed to be used in any Finite Mathematics course, whether College Algebra is a prerequisite or not. There are sections at the end of Chapters 2, 4, and 8 that use technology to solve problems that are solved in other sections in the chapter. A fun fact about this book is that it was adapted and written by four Louisiana natives who decided to add a bit of Louisiana to the content, examples, and exercises in the book.

"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." - works with MAT 132

"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." - works with MAT 132

Topics in Precalculus is a compilation of ideas and concepts designed to prepare you for the study of Calculus. In addition to re-enforcing content from algebra such as exponential and logarithmic functions, and complex numbers, this book introduces the reader to more novel concepts by investigating in detail two of the most basic shapes in geometry: the circle and the triangle. Join us as we explore this ancient subject that extends our knowledge of these shapes by explaining them in terms of trigonometry. In fact, our study of the six trigonometric functions will allow us to apply the relationships described in precalculus to other branches of science such as physics and astronomy. The connections revealed between both the new and familiar ideas described in Topics in Precalculus will assist you with your mathematics journey in a book that’s designed just for YOU!

Introduction to Statistics: An Excel-Based Approach introduces students to the concepts and applications of statistics, with a focus on using Excel to perform statistical calculations. The book is written at an introductory level, designed for students in fields other than mathematics or engineering, but who require a fundamental understanding of statistics. The text emphasizes understanding and application of statistical tools over theory, but some knowledge of algebra is required.

"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." - works with MAT 135

The authors of this book adapted homework problems to improve accessibility and promote diversity, equity, and inclusion in the introductory statistics course they teach at Fitchburg State University. The problems are showcased in this book, but we have also incorporated them into our existing problem sets on an open-source online homework platform called WeBWorK. The problems can be used as a companion to the OpenStax textbook "Introductory Statistics" by Barbara Illowsky and Susan Dean or any other textbook for a semester-long introductory statistics course.

This book aims to help you understand and navigate statistical concepts and the main types of statistical analyses essential for research students.

"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." - works with MAT 281

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.

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.

This textbook offers an introduction to the fundamental concepts of linear algebra, covering vectors, matrices, and systems of linear equations. It effectively bridges theory with real-world applications, highlighting the practical significance of this mathematical field. Discover how linear algebra plays a crucial role in various disciplines, such as engineering, physics, computer science, and economics. Emphasizing the development of problem-solving abilities, the book provides abundant exercises and illustrative examples, facilitating a solid understanding of the concepts within linear algebra.

This book is designed to meet Penn State Math 251 Ordinary and Partial Differential Equations curriculum and course standards. --- First- and second-order equations; special functions; Laplace transform solutions; higher order equations; Fourier series; partial differential equations.