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).

This supplement is designed for MTH 244 at Portland Community College and is used in conjunction with OpenStax Statistics: https://openstax.org/details/introductory-statistics

This course is based on the text Math in Society, edited by David Lippman, Pierce College Ft Steilacoom, and on the text Using Excel, by Noreen Brown, Barbara Lave, Julie Romey, Mary Schatz, and Diane Shingledecker. The modules in this course have been adapted and edited by Gail Poitrast to fit the learning objectives of Math 502. This course is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent. Emphasis is placed on the applicability of the mathematics. The use of Excel is also explored, as it is a learning objective for Math 502.

This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.

The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will:

• Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more.

• Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).

• Construct viable arguments and critique the reasoning of others. You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “Why?” and “How do you know you're right?” Practice asking these questions of yourself, of your professor, and of your fellow students.

Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.

The Mathematics of Nutrition Science is a workbook designed to integrate and contextualize developmental mathematics into an introductory college level Nutrition class. Definitions and skills from Community College Level Elementary Algebra and Quantitative Literacy courses are explained through examples analyzing the nutritional content of different foods. The book contains exercises for students to practice these skills, and also to reflect on the concepts through short writing assignments aligned with developmental English. These materials could be used by Nutrition course instructor in many different ways, and are designed to be self-contained and require minimal mathematical instruction.

The Math for Trades: Volume 1 textbook represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education.

The purpose of this course is to expose you to the wider world of mathematical thinking. There are two reasons for this. First, for you to understand the power of quantitative thinking and the power of numbers in solving and dealing with real world scenarios. Secondly, for you to understand that there is more to mathematics than expressions and equations.

The core course is a complete, ready to run, fully online course, featuring 9 topics: Problem solving, voting theory, graph theory, growth models, consumer finance, collecting data, describing data, probability, and historical counting. Additional optional topics are provided. The course materials can easily be used with a face-to-face course.

Each topic features:

Readings from a complete textbook, available in printed form for ~$15, or online for free. A playlist of videos, corresponding to the examples in the text. Exercises available in the book, or algorithmically generated online homework and quizzes are available on WAMAP.org (for Washington faculty) or MyOpenMath.com (for everyone else). Writing assignments, requiring the students to think beyond calculations. For many topics, some in-class activities and paper quizzes are available.

Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).

We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.

MyOpenMath is an online course management and assessment system for mathematics and other quantitative fields. MyOpenMath’s focus is providing rich algorithmically generated assessment to support the use of free, open textbooks like the ones listed on OpenTextBookStore.com.

MyOpenMath is a collaborative community of users. MyOpenMath.com provides managed hosting of the open source IMathAS online assessment software. Questions and pre-built courses are all created by faculty in the user community and shared with others in the spirit of openness. Experienced users provide peer-to-peer support through discussion forums.

MyOpenMath.com is operated by the non-profit organization MyOpenMath.

Carrie and Kelly’s OER grant project will create open materials for Math 098. Community colleges throughout Oregon have been planning and implementing MTH 098 since 2014 based on recommendations from the developmental education redesign workgroup. The course was created to provide a shortened, more appropriate path for students to take MTH 105 and earn an Associate of Arts Transfer degree. Some institutions, such as Clackamas Community College, include the added benefit of allowing for MTH 105 to serve as a prerequisite to MTH 243, extending the pathway for students.

Their goal is to create materials that:

- Are learner-centered
- Readily integrate group work and collaboration
- Create opportunities for students to make critical thinking a habit of mind
- Acknowledge and respect common anxieties, personalities, and professional goals of students in the “alternate pathway”.

Visit their public MTH 098 course on MyOpenMath to learn more.

Ordinary Differential Equations course developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in December 2019. The course is part of the Ohio Transfer Module and is also named TMM 020. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadAnna Davis                                         Ohio Dominican UniversityContent ContributorsJustin Greenly                                      Franciscan University of SteubenvilleFelipe L. Martins                                  Cleveland State UniversityPaul Zachlin                                       Lakeland Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamEmi Arima                                        Columbus State Community College

The Pre-Calculus course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in September 2019. The course is part of the Ohio Transfer Module and is also named TMM002. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadKameswarrao Casukhela                   Ohio State University LimaContent ContributorsLuiz Felipe Martins                             Cleveland State UniversityIeda Rodrigues                                   Cleveland State UniversityTeri Thomas                                        Stark State CollegeLibrarianDaniel Dotson                                     Ohio State University                     Review TeamAlice Taylor                                        University of Rio GrandeRita Ralph                                          Columbus State Community College

Sine and Cosine Functions - amplitude, period, phase-shift, sinusoidal functions, periodic functionsTMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*

Secant and Cosecant Functions - period, phase-shift, periodic functions, asymptotes, sine function, cosine function, domainTMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*

Tangent and Cotangent Functions - period, phase-shift, periodic functions, asymptotes, sine and cosine functionsTMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*

Inverse Trigonometric Functions - domain, range, graph, one-to-one function, applications, periodic functions TMM 002 PRECALCULUS (Revised March 21, 2017)1. Functions: 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*