**Mathematics **courses and topics. This OER subject guide was created for TCC faculty and staff and reflects TCC credit, continuing education, and corrections course offerings. The purpose of this guide is to help faculty and staff more easily find and review OER in their areas so that they can make decisions about quality, accuracy, relevancy, and potential use.

- Transitions Math I (WACTC OER course)
**To view: First, log into your TCC Canvas faculty account, then click on the Canvas Commons link/icon in the global navigation menu, and then finally click this link to view this Canvas course content.**OER Canvas course shared by Grays Harbor College instructor, 2020. "Transitions Math I course is comprised of six modules that focus on arithmetic: whole numbers, fractions (2 modules), decimals, ratios and proportions, and percents. Most lessons have a pretest, video lesson(s), follow up quiz(zes) and homework. At the end of each module, there is a practice test and answer key. The module does not include the module tests or the final exam. The course is designed for GED students, high school completion students, and students brushing up for the college placement test." Includes modules, assignments, quizzes, and discussions. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license.

- College Algebra with Corequisite Support (OER textbook)OpenStax textbook, published 2021. "[I]ntegrates 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." Organized into 9 chapters. Online + PDF format. CC BY (Creative Commons - Attribution) license. Eligible for Print on Demand.
- Technical Mathematics (OER textbook)OER textbook by Morgan Chase, Clackamas Community College, published by Oregon State University, 2021. "This developmental-level mathematics textbook is intended for career-technical students." Organized into 30 modules, from "Order of Operations" to "Standard Deviation." Includes exercises and exercise answers for each module. Online, PDF, and e-book formats. CC BY NC SA (Creative Commons Attribution NonCommercial ShareAlike) license. Eligible for Print on Demand.
- Fundamentals of Mathematics (OER textbook)"This text will help the student develop the insight and intuition necessary to master arithmetic techniques and manipulative skills." 11 chapters. Peer reviews of the text are available on this site. Online, PDF, and offline zip file formats available. CC BY (Creative Commons - Attribution) license. Eligible for Print on Demand.
- Mathematics - OpenTextBookStore (open textbooks)List of commonly used open textbooks for mathematics,
**including arithmetic, pre-algebra, math in liberal arts, etc**. Brief reviews and openness ratings for each book, plus link to free and openly licensed textbook files. All openly licensed and eligible for Print on Demand. - Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Elementary Algebra**. Each textbook may have a different open license. - MAT082 – Basic Arithmetic OER (OER ancillary materials)Materials developed by Scottsdale Community College instructors for developmental math sequence, 2013. Student workbook, mini-lesson worksheets, practice problem worksheets, and mini-lesson videos, organized into 11 weeks. CC BY SA (Creative Commons - Attribution - ShareAlike) license. Eligible for Print on Demand if materials are compiled into a print-ready format.
- MAT09x Introductory Algebra OER (Scottsdale Community College)Materials developed by Scottsdale Community College instructors for developmental math sequence, 2014. Student workbook, worksheets, and mini-lesson videos, organized into 12 weeks. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license.
- MAT12x – Intermediate Algebra OER (Scottsdale Community College)Materials developed by Scottsdale Community College instructors for developmental math sequence, 2015. Student workbook, mini-lesson worksheets, practice problem worksheets, and mini-lesson videos, organized into 12 weeks. CC BY (Creative Commons - Attribution) license.
- Adult Literacy Fundamentals Textbooks from BC Campus Open EdBCcampus, 2014. Adult Literacy textbooks for Mathematics, English, and College Success. PDF and editable Word formats. CC BY licensed (Creative Commons - Attribution). Eligible for Print on Demand.

- Statistics - Crash Course video playlistCrash Course video series of 44 videos (each video around 10 mins.) with innovative graphics, last updated 2020. Includes videos on: mathematical thinking; mean, median, and mode; data visualization; distributions; correlation and causation; data collection methods; ethical data collection; probability; P-values; and more. Crash Course videos are high-quality, with a mix of live-action and animated graphics. Not openly licensed but freely available to view, link, and embed into courses.
- MyOpenMathMyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. MyOpenMath can be used to web-enhance an on-campus course, as part of hybrid course, or to run a fully online course. There’s a video link provided to see how other instructors use MyOpenMath, plus a list of textbooks aligned for the pre-built courses, including Arithmetic for College Students, Prealgebra, Beginning and Intermediate Algebra, Math in Society, Precalculus, College Algebra, Business Calculus, and Contemporary Calculus. Links together specific chapters with related videos, homework, quizzes, etc.
- CK-12 MathBiggest open content provider for K-12 STEM content. Look on the left column for links to Math subjects, including Grades 1-5, Arithmetic, Measurement, and more. CC BY NC 3.0 license (Creative Commons - Attribution - NonCommercial)
- ABCYA.com“ABCya is the leader in free educational computer games and mobile apps for kids. The innovation of a grade school teacher, ABCya is an award-winning destination for elementary students that offers hundreds of fun, engaging learning activities.” Free online games for Pre-K through 5th grade. Alphabet, numbers, money, geography, parts of speech, typing, technology vocabulary, skills -- INCLUDES MATH! Holiday themed games available. No charge to use on PCs. Mobile-friendly version requires a subscription
- GeoGebra“GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easy-to-use package.” GeoGebra can be embedded in MyOpenMath with parameters passed between them. You are free to copy, distribute and transmit GeoGebra for non-commercial purposes.
- Science Stories"Science Stories brings scientific work into social spaces." Browse annotated stories and videos about scientists from traditionally marginalized backgrounds. A mix of historical and current stories. Covers all areas of STEM. Open access (okay to link to and/or embed videos).

- Mathematical mindsets: Unleashing students' potential through creative math, inspiring messages and innovative teachingCall Number: OnlinePublication Date: 2015Banish math anxiety and give students of all ages a clear roadmap to success. Mathematical Mindsets provides practical strategies and activities to help teachers and parents show even those who are convinced that they are bad at math, that they can enjoy and succeed in math.

- Math Anxiety podcastsPodcasts from MathProfJeff, Jeffrey Swigart, mathematics professor at Harold Washington College, one of the City Colleges of Chicago. 2 podcasts on math anxiety, includes audio links and transcripts. Not technically OER but free-to-use and/or link to.
- "Overcoming Math Anxiety" webinarJuly 2018 webinar hosted by the Coalition on Adult Basic Education. "Mathematics anxiety affects almost half of the learners in our classrooms. Scientists have proven that this fear actually interferes with the part of the brain needed for reasoning and problem-solving. Math anxiety can affect teachers as well as students. In this presentation, participants will learn exactly how math anxiety affects learners and specific techniques to help ease and overcome these effects."
- "Math at Work Monday" interviewsFrom Math for Grownups site, interviews with people about how they use math in the work. Interesting and easy-to-read perspectives on “math in the real world.”

Not technically OER but free-to-use and/or link to. Published 2011-2015.

- Mathematics for Elementary Teachers (OER textbook)Written by Univ. of Hawaii instructor, revised in 2018. "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." Online, digital PDF, print PDF, and XML formats. CC BY SA (Creative Commons - Attribution - ShareAlike) license.
- Teaching Math for Emergent Bilinguals: Building on Culture, Language, and Identity (OER textbook)Ji-Yeong I and Ricardo Martinez, Iowa State University, 2021. "This book is designed for pre-service/in-service teachers and others who will work or work with K–12 students who have linguistically and culturally diverse backgrounds, especially students of other languages (English language learners/Emergent bilingual/multilingual)." Organized into 6 chapters. Online, PDF, EPUB, and Common Cartridge formats. CC BY NC SA (Creative Commons Attribution NonCommercial ShareAlike) license. Eligible for Print on Demand.
- The Essence of Mathematics Through Elementary Problems (OER textbook)"The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works." PDF and print-on-demand formats. CC BY (Creative Commons - Attribution) license.
- Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Liberal Arts Math, and more**. Each textbook may have a different open license.

- K-5 Math and Technology Resources“A directory of resources about mathematics and technology for kindergarten through fifth grade. This resource was created with the support of an ALG Textbook Transformation Grant. Topics include teaching and learning theories, problem solving, assessment, equity, technological tools, and measurements.” Published Spring 2015. PDF format. CC BY (Creative Commons - Attribution) license.
- ACEMathsFrom the African Teacher Education OER Network, 2008, focusing on South Africa. The units focusing on Learning and Teaching of Intermediate and Senior Mathematics: Unit 1: Exploring what it means to ‘do’ mathematics, Unit 2: Developing understanding in mathematics, Unit 3: Teaching through problem solving, Unit 4: Planning in the problem-based classroom, Unit 5: Building assessment into teaching and learning, Unit 6: Teaching all children mathematics. Various CC licenses on different materials in the units.

- Math in Society (OER textbook)David Lippman, Pierce College, 2017, edition 2.5. " 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." PDF and editable Word formats. Faculty reviews of this text available on this site. CC BY SA (Creative Commons - Attribution-ShareAlike) license. Eligible for Print on Demand.
- College Mathematics for Everyday Life - Second Edition (OER textbook)Maxie Inigo, et al, Coconino Community College, 2015. "This text was written for a college-level liberal arts math class. It addresses math concepts that most people will encourter as part of their everyday life, including statistics, probablility, growth, finance, graph theory, voting systems, fair division, apportionment, and geometric symmetry and the golden ratio. Each chapter includes a set of homework questions for practice." PDF and editable Word formats. CC BY SA (Creative Commons Attribution-ShareAlike) license. Eligible for Print on Demand.
- Quantitative Reasoning: A Real World Approach (OER textbook)Janice Alves, et al, University System of Georgia, 2022. Organized into 6 chapters: Problem-Solving, Sets and Real Numbers, Logical Reasoning, Probability, Intro to Data Analysis, and Basic Mathematical Modeling. Integrated exercises throughout. Uses LaTeX. PDF format. Dual licensed with CC BY NC SA (Creative Commons Attribution-Noncommercial-Share Alike) and CC BY SA (Creative Commons Attribution-Share Alike) licenses. Eligible for Print on Demand.
- Liberal Arts Mathematics (OER textbook)Saburo Matsumoto, College of the Canyons, 2nd ed., 2023. Organized into 9 chapters, starting with Mathematics and Problem-Solving. Includes exercises and an answer key to selected problems. PDF and editable Word formats. CC BY (Creative Commons - Attribution) license. Eligible for Print on Demand.
- Mathematics - OpenTextBookStore (open textbooks)List of commonly used open textbooks for mathematics,
**including math in liberal arts**, etc. Brief reviews and openness ratings for each book, plus link to free and openly licensed textbook files. All openly licensed and eligible for Print on Demand. - Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Liberal Arts Math**. Each textbook may have a different open license.

- Pioneers in STEM: Ingenious Innovations by Black, Indigenous, and People of Color (OER collection)Amy Minervini and KC Celestine, Fletcher Technical Community College, [2022]. "The intention of Pioneers in STEM: Ingenious Innovations by Black, Indigenous, and People of Color is to highlight the genius of non-white individuals who have contributed to the vast invention landscape. We also want to elevate and give a platform to the curiosity, inventiveness, and drive of Black, Indigenous, and people and women of color who may be or may have been overlooked or simply not written about in history or science books." Biographical essays organized into 4 sections, highlighting pioneers in Science, Technology, Engineering, and Math. Includes writing prompts per essay to inspire discussion. Online (Pressbooks) format. CC BY NC (Creative Commons Attribution NonCommercial) license. Eligible for Print on Demand.
- "Math at Work Monday" interviewsFrom Math for Grownups site, interviews with people about how they use math in the work. Interesting and easy-to-read perspectives on “math in the real world.”

Not technically OER but free-to-use and/or link to. Published 2011-2015. - MyOpenMathMyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. MyOpenMath can be used to web-enhance an on-campus course, as part of hybrid course, or to run a fully online course. There’s a video link provided to see how other instructors use MyOpenMath, plus a list of textbooks aligned for the pre-built courses, including Arithmetic for College Students, Prealgebra, Beginning and Intermediate Algebra, Math in Society, Precalculus, College Algebra, Business Calculus, and Contemporary Calculus. Links together specific chapters with related videos, homework, quizzes, etc.
- Science Stories"Science Stories brings scientific work into social spaces." Browse annotated stories and videos about scientists from traditionally marginalized backgrounds. A mix of historical and current stories. Covers all areas of STEM. Open access (okay to link to and/or embed videos).

- Intermediate Algebra (OER textbook)Terrance Berg, Kwantlen Polytechnic University (Canada), 2020. Adapted from Tyler Wallace's Beginning and Intermediate Algebra. "The mathematics covered in this textbook are at an intermediate algebra level, building upon literacies covered in Mathematical Fundamental and Elementary Algebra." Organized into 11 chapters and includes extensive self-assessments and answer keys. Online and PDF formats. CC BY NC SA (Creative Commons Attribution NonCommercial ShareAlike) license. Eligible for Print on Demand.
- Mathematics - OpenTextBookStore (open textbooks)List of commonly used open textbooks for mathematics,
**including Pre-algebra and Algebra**. Brief reviews and openness ratings for each book, plus link to free and openly licensed textbook files. All openly licensed and eligible for Print on Demand. - Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Elementary Algebra and College Algebra**. Each textbook may have a different open license. - OpenStax Mathematics textbooks and instructor resourcesHigh-quality mathematics textbooks and instructor resources,
**including Elementary Algebra, College Algebra with Corequisite Support, College Algebra, and Intermediate Algebra**. All have at least online and PDF format options. All with a CC BY (Creative Commons - Attribution) license. All eligible for Print on Demand. - Open Source Mathematics textbooks (Scottsdale Community College)Free and openly licensed textbooks created by Scottsdale Community College instructor, 2013.
**Textbooks include College Algebra**. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license.

- MyOpenMathMyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. MyOpenMath can be used to web-enhance an on-campus course, as part of hybrid course, or to run a fully online course. There’s a video link provided to see how other instructors use MyOpenMath, plus a list of textbooks aligned for the pre-built courses, including Arithmetic for College Students, Prealgebra, Beginning and Intermediate Algebra, Math in Society, Precalculus, College Algebra, Business Calculus, and Contemporary Calculus. Links together specific chapters with related videos, homework, quizzes, etc.
- GeoGebra“GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easy-to-use package.” GeoGebra can be embedded in MyOpenMath with parameters passed between them. You are free to copy, distribute and transmit GeoGebra for non-commercial purposes.

- A First Course in Linear Algebra (OER textbook)Originally by K. Kuttler, redesigned by the Lyryx editorial team, version 2021-A, published 2020. "[A] first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile." Organized into 9 chapters + 2 appendices. PDF format and LaTeX files. CC BY (Creative Commons - Attribution) 4.0 license. Eligible for Print on Demand.
- Linear Algebra with Applications (OER textbook)W. Keith Nicholson and released by Lyrx editorial team, version 2021-A, published 2021. "Overall, the aim of the textbook 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." Organized into 9 chapters. PDF and editable LaTeX file formats. CC BY-NC-SA (Creative Commons - Attribution - NonCommercial - ShareAlike) 4.0 license. Eligible for Print on Demand.
- Linear Algebra, Theory And Applications (OER textbook)Kenneth Kuttler, Bringham Young University, published by Saylor Foundation, 2012. "This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus." PDF and e-book formats. Faculty peer reviews of this text available on this site. CC BY SA (Creative Commons - Attribution-ShareAlike) license. Eligible for Print on Demand.
- Linear Algebra (OER textbook)David Cherney, et al., UC Davis, 2016. "We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course [...] The book has been written such that instructors can reorder the chapters (using the La- TeX source) in any (reasonable) order and still have a consistent text." PDF and LaTeX files. Faculty peer reviews of this text available on this site. CC BY NC SA (Attribution-NonCommercial-ShareAlike) license. Eligible for Print on Demand.
- Linear Algebra (OER textbook)Jim Hefferon, Saint Michael's College, originally published 2016, updated 2020. Designed with a developmental approach "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." Organized into 5 chapters. PDF and LaTeX formats. CC BY SA (Attribution-ShareAlike) license. Eligible for Print on Demand.

- OpenIntro Statistics (OER textbooks)OpenIntro Statistics, Intro Statistics with Randomization and Simulation, and Intro Statistics for the Life and Biomedical Sciences textbooks, videos, slides, labs, and more. PDF format available for free. CC BY SA (Creative Commons - Attribution - ShareAlike) license.
- Statistics Using Technology (OER textbook)Kathryn Kozak, Coconino Community College, 3rd ed., 2021. "This is an introductory Statistics Textbook for first year college courses. This book places data at the center of the course. It also uses the statistical package R, though you can use another statistical computer package if you wish." Organized into 11 chapters. PDF and Word formats. CC BY SA (Creative Commons Attribution-ShareAlike) license. Eligible for Print on Demand.
- Elementary Statistics for Behavioral and Social Sciences (OER textbook)Michelle Oja, Taft College, July 2021. Organized into 4 main units, focusing on behavioral statistics and applications.
**Also fulfills and used for the Math 110 (Statistics) course for the California community colleges.**Online, PDF, and course cartridge formats. CC BY-NC-SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand. - Mathematics - OpenTextBookStore (open textbooks)List of commonly used open textbooks for mathematics,
**including Statistics**. Brief reviews and openness ratings for each book, plus link to free and openly licensed textbook files. All openly licensed and eligible for Print on Demand. - Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Statistics**. Each textbook may have a different open license. - OpenStax Mathematics textbooks and instructor resourcesHigh-quality mathematics textbooks and instructor resources for
**Statistics (HS/AP level), Introductory Statistics, and Introductory Business Statistics**. All have at least online and PDF format options. All with a CC BY (Creative Commons - Attribution) license. All eligible for Print on Demand.

- GeoGebra“GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easy-to-use package.” GeoGebra can be embedded in MyOpenMath with parameters passed between them. You are free to copy, distribute and transmit GeoGebra for non-commercial purposes.

- MATH 96/140 (TCC OER course)
**To view: First, log into your TCC Canvas faculty account, then click on the Canvas Commons link/icon in the global navigation menu, and then finally click this link to view this Canvas course content.**OER Canvas course shared by TCC instructor Mike Flodin, 2020. "Web-enhanced Introduction to Precalculus class (in between Intermediate Algebra and Precalculus)." Includes modules, assignments, and discussions. Public domain license.

- Mathematics - OpenTextBookStore (open textbooks)List of commonly used open textbooks for mathematics,
**including Precalculus and Calculus**. Brief reviews and openness ratings for each book, plus link to free and openly licensed textbook files. All openly licensed and eligible for Print on Demand. - Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Precalculus and Calculus.**Each textbook may have a different open license. - OpenStax Mathematics textbooks and instructor resourcesHigh-quality mathematics textbooks and instructor resources
**for Precalculus and Calculus**. All have at least online and PDF format options. All with a CC BY (Creative Commons - Attribution) license. All eligible for Print on Demand. - Open Source Mathematics textbooks (Scottsdale Community College)Free and openly licensed textbooks created by Scottsdale Community College instructor, 2013.
**Textbooks include Precalculus**. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.

- Mathematics - OpenTextBookStore (open textbooks)List of commonly used open textbooks for mathematics,
**including Precalculus and Calculus**. Brief reviews and openness ratings for each book, plus link to free and openly licensed textbook files. All openly licensed and eligible for Print on Demand. - Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Precalculus and Calculus**. Each textbook may have a different open license. - OpenStax Mathematics textbooks and instructor resourcesHigh-quality mathematics textbooks and instructor resources,
**including Precalculus and 3 volumes of Calculus textbooks**. All have at least online and PDF format options. All with a CC BY (Creative Commons - Attribution) license. All eligible for Print on Demand.

- Open Textbook Initiative - Approved Textbooks (American Institute of Mathematics)OER textbooks approved by the American Institute of Mathematics (AIM) Editorial Board.
**Categories include Trigonometry**. Each textbook may have a different open license. - OpenStax Mathematics textbooks and instructor resourcesHigh-quality mathematics textbooks and instructor resources,
**including for Algebra and Trigonometry**. All have at least online and PDF format options. All with a CC BY (Creative Commons - Attribution) license. Eligible for Print on Demand. - Open Source Mathematics textbooks (Scottsdale Community College)Free and openly licensed textbooks created by Scottsdale Community College instructor, 2013.
**Textbooks include College Trigonometry**. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.

- Elementary Differential Equations (OER textbook)William F. Trench, Trinity University, Free OER edition 2013 (originally published by Brooks/Cole Thomson Learning, 2001). “[W]ritten for students in science, engineering, and mathematics who have completed calculus through partial differentiation. [...] As an elementary text, this book is written in an informal but mathematically accurate way, illustrated by appropriate graphics.” American Institute of Mathematics includes this textbook as part of its “approved textbooks” for its Open Textbook Initiative. PDF and LaTeX file formats. CC BY NC SA 3.0 (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.
- Elementary Differential Equations with Boundary Value Problems (OER textbook)William F. Trench, Trinity University, Free OER edition 2013 (originally published by Brooks/Cole Thomson Learning, 2001). "Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired." PDF and LaTeX file formats. CC BY NC SA (Creative Commons Attribution-NonCommercial-ShareAlike) 3.0 license. Eligible for Print on Demand.
- Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems (OER manual)William F. Trench, Trinity University, 2000 (originally published by Brooks/Cole Thomson Learning). Accompanies Trench's Elementary Differential Equations textbooks. PDF format. CC BY NC SA (Creative Commons Attribution-NonCommercial-ShareAlike) 3.0 license. Eligible for Print on Demand.
- Notes on Diffy Qs: Differential Equations for Engineers (OER textbook)Jiri Lebl, Oklahoma State University, via BCcampus, 2022 (version 6.3). “A first course on differential equations, aimed at engineering students. The prerequisite for the course is the basic calculus sequence. [...] This OER is usable as a standalone textbook or as a companion to a course using another book, such as … Elementary Differential Equations and Boundary Value Problems (section correspondence to these two is given).” American Institute of Mathematics includes this textbook as part of its “approved textbooks” for its Open Textbook Initiative. Organized into 8 major chapters, with solutions to selected exercises. PDF and LaTeX file formats. (Note: The "Read online" link does not seem to be currently available.) Dual CC license: CC BY NC SA 4.0 license (Creative Commons - Attribution - NonCommercial - ShareAlike) & CC BY SA 4.0 license (Creative Commons - Attribution - ShareAlike). Eligible for Print on Demand.
- Ordinary Differential Equations (OER textbook)Stephen Wiggins, University of Bristol (England), 2017. “This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take.” Includes a faculty peer review on this site. PDF format. CC BY (Creative Commons - Attribution) license. Eligible for Print on Demand.

- “Differential equations” videosKhan Academy. Practical, short video demos of mathematical concepts. Videos organized into 3 units: First order differential equations, Second order linear equations, and Laplace transform. Most Khan Academy resources are licensed under a CC BY NC SA 3.0 license (Creative Commons - Attribution - NonCommercial - ShareAlike). Under their general terms of service, Khan Academy extends permissions for “educational” and “noncommercial” use, including the ability to download materials.

- Calculus - Volume 3 (OER textbook)OpenStax, 2016 (last web update 2023). “Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.” This textbook is also included on the American Institute of Mathematics (AIM) site for approved textbooks for Calculus. Instructor resources tab includes a Canvas course cartridge and PowerPoint slides, available to download with a verified (and free) instructor log-in. This site includes faculty peer reviews of this textbook. Available in English and Spanish. Online, PDF, and OpenStax app download formats. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.
- Active Calculus Multivariable (OER textbook)Steve Schlicker, David Austin, and Matthew Boelkins, Grand Valley State University, 2017. This site includes a 2020 update edition (draft) that includes materials on vector calculus. “Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.” This textbook is also included on the American Institute of Mathematics (AIM) site for approved textbooks for Calculus. HTML and PDF formats, also provides link to LaTeX files on GitHub. CC BY SA (Creative Commons - Attribution - ShareAlike) license. Eligible for Print on Demand.
- APEX Calculus (OER textbook series)Gregory Harman, Virginia Military Institute, et al, 2014 (Version 5 updated 2022). “This text comprises a three–text series on Calculus. [...] The third text covers topics common in “Calc 3” or “multivariable calc:” parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 9 through 14.” This textbook is also included on the American Institute of Mathematics (AIM) site for approved textbooks for Calculus. PDFs in color and in black & white. Also provides link to source files via GitHub. CC BY NC (Creative Commons - Attribution - NonCommercial) license. Eligible for Print on Demand.
- Armstrong Calculus (OER textbook)Michael Tiemeyer and Jared Schlieper, University System of Georgia, 2015. “This text is an adaptation of two very excellent open-source textbooks: Active Calculus by Dr. Matt Boelkins and APEX Calculus by Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen. Topics include integrals, volume, arcs, density, physics applications, differential equations, and hyperbolic functions.” Includes preview activities, activities, exercises and problems for each chapter (8 chapters in total). Online, Word (editable), Accessible PDF, EPUB, and source files via GitHub. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.
- CLP Calculus (OER textbook)Joel Feldman, Andrew Rechnitzer, and Elyser Yeager, University of British Columbia, 2018. “Written by faculty at the University of British Columbia and used there for several years, the four volumes cover the full calculus sequence for science and engineering students. The exercises in each section are grouped into three stages [...] Stage 3 exercises are more challenging and may require combining more than one idea, incorporate review material, or ask the student to apply a concept to a new situation.” Vol. 3 is Multivariable Calculus, and Vol. 4 is Vector Calculus. This textbook is also included on the American Institute of Mathematics (AIM) site for approved textbooks for Calculus. PDF textbook, PDF problem book, HTML and PDF combined textbook with exercises, and source files via GitHub. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.
- Multivariable Calculus (OER textbook)Don Shimamoto, Swarthmore College, 2019 (last updated 2022). “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.” Site includes faculty peer reviews of this text. PDF via Google Drive; includes a PDF option formatted for printing. CC BY (Creative Commons Attribution) license.
- Vector Calculus (OER textbook)Michael Corral, Schoolcraft College, 2013 (last updated 2021). “This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.” PDF, low-cost hardcop, LaTeX files. GNU Free Documentation License (generally equivalent to CC BY ND license). Eligible for Print on Demand.
- 3D Interactive Plots for Multivariate Calculus (OER textbook)Dr. Na Yu, Toronto Metropolitan University (Canada), 2022. “An open textbook created to improve both teaching and learning vital concepts and techniques in multivariable calculus, one of the fundamental courses across the undergraduate curriculum in science and engineering. The goals of this resource are to help learners develop their geometric intuition about abstract and complex mathematical concepts (e.g., partial derivatives, multiple integrals, vector fields), and train them to make connections between concepts visually (e.g., connecting “vectors” in mathematics with “magnitude” and “direction” in physics) in order to more fully understand engineering, physics and mathematical problems (e.g., differential equations) in their subsequent STEM coursework.” Each unit is structured into “the concept” and “the plot” with interactive self-check questions/activities. Online and digital PDF formats. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.
- Community Calculus (OER textbook)David Guichard, et al, Whitman College, last updated 2022. “An early transcendentals book covering single variable calculus, infinite series, and multivariable calculus.” Click the “Homepage” link under the author’s name in order to view the originating website, which has additional info about different versions. PDF and HTML formats. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license. Eligible for Print on Demand.

- Multivariable Calculus (OER ancillary materials)Course materials by Denis Auroux, MIT, et al, 2010. “This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.” Course materials include readings, lecture videos, recitation videos with problem-solving tips, examples, problems, sample exams, and Java Applets (“mathlets”). Videos are MP4 with downloadable transcripts; Readings and sample problems and exams are PDF. CC BY NC SA (Creative Commons - Attribution - NonCommercial - ShareAlike) license.

- Engaging Mathematics - Teaching Manuals for math and environmental issues9 manuals with lessons, activities, and curricula developed through Engaging Mathematics on different environmental issues relating to math, such as “Integrating Sustainability into Algebra Courses,” “Elementary Statistics Society and Environment,” and more. Different CC licenses on various textbooks, available to download as Word, PDF, or e-book formats.

The Culturally Responsive and Inclusive Pedagogy OER Subject Guide, linked below, provides a starting point for OER professional development and curricular materials relating to issues of equity, diversity, and inclusion; trauma-informed practices; and culturally responsive, inclusive, and anti-racist pedagogy and practices. This guide includes concepts and keywords; TCC OEDI resources; introductory and more in-depth professional development resources (toolkits, guides, etc.); curriculum resources (activities, assignments, etc.); OER and EDI rubrics; instructional design; accessibility; as well as EDI-focused OER in different disciplines across the curriculum, including STEM.

- Faculty/staff guide to Open Educational Resources (OER)
- Transitional and Developmental Studies (ABE, ELA, EAP) - TCC OER Subject Guide
- Business and Logistics - TCC OER Subject Guide
- College Success - TCC OER Subject Guide
- Accounting - TCC OER Subject Guide
- Environmental Science and Sustainability - TCC OER Subject Guide

- Contribution form for TCC Library's OER subject guidesThis form is for TCC faculty and staff. Use this form to add suggestions, improvements, and personal recommendations or tips for specific resources. Thank you for contributing to and improving this OER subject guide!

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