This guide is designed for FSCJ faculty to discover learning objects and other open educational resources. Faculty will also find information on adding and uploading content to share with colleagues.

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**The following OER courses are available for FSCJ faculty as full Canvas course shells. The complete list is available on the Faculty Exchange website. Contact the Center for eLearning (CeL) for access: Cel@fscj.edu **

- MAC1105* - College AlgebraThe major topics included in this course are linear equations and inequalities, quadratic equations and inequalities, relations and functions, graphs, systems of equations and inequalities, exponential and logarithmic functions, and applications. A review of algebraic techniques is also included in this course as well as a review of polynomials, factoring, exponents, roots, and radicals. * Uses low cost Lumen OHM (Online Homework Manager)
- MAT1033* - Intermediate AlgebraThe major topics include sets, linear equations and inequalities with applications, absolute value, polynomials and factoring, rational expressions with applications, exponents, roots and radicals, quadratic equations with applications, relations and functions, graphs and systems of linear equations and inequalities. This course is an elective and will not apply towards the A.A. or A.S. mathematics General Education requirements. This course will count as an A.A. elective in both A.A. and A.S. requirements. * Uses low cost Lumen OHM (Online Homework Manager)
- MGF1106* - Topics in College MathematicsThis course is designed for students who plan to major in fields that do not require an in-depth study of mathematics. The major topics introduced in this course are set theory, symbolic logic, geometry and measurement, introductory combinatorics, probability and descriptive statistics, and history of mathematics. * Uses low cost Lumen OHM (Online Homework Manager)
- MGF1107* - Explorations in MathematicsThis course is designed for students who plan to major in fields that do not require an in-depth study of mathematics. The major topics introduced in this course are financial mathematics, graph theory, numbers and number systems, and elementary number theory. Additional topics include voting techniques, modular arithmetic, exponential growth and decay, elementary topology, and non-Euclidean geometry. Fractal geometry may be introduced. It is strongly suggested that students who plan to take MGF 1106 and MGF 1107 complete MGF 1106 first.

* Uses low cost Lumen OHM (Online Homework Manager) - STA2023* - Elementary StatisticsThis course is designed to introduce students to the fundamentals of descriptive and inferential statistics with a pronounced emphasis on inference. The major topics include methods for analyzing sets of data, probability, probability distributions, estimation, confidence intervals, hypothesis testing, simple linear regression, and correlation. Students with a grade of C or better in MGF 1106 satisfy the prerequisite. * Uses low cost Lumen OHM (Online Homework Manager)

**Liberal Arts Mathematics** by Saburo Matsumoto (2019): College of the Canyons.

One of the primary goals of this book is to answer some of these questions through logic and mathematics. This is particularly important in the Internet-dominated, media-centered, and information-driven age in which we find ourselves living today. With new technologies, it is becoming much easier for businesses and organizations to send out deceptive messages and misleading advertisements, and they can target specific individuals based on their online activities. Throughout this book you will find data, numbers, and statements that can be presented honestly or dishonestly in a deceptive manner. They may be numbers, percentages, odds, statistics, or written sentences.

**Prealgebra (2nd Edition) **by Various Authors (2020): OpenStax.

*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.

**Elementary Algebra (2nd Edition)** by Various Authors (2020): OpenStax.

*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.

**Intermediate Algebra (2nd Edition)** by Various Authors (2020): OpenStax.

*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.

**College Algebra** by Various Authors (2020): OpenStax.

*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.

**Geometry with an Introduction to Cosmic Topology** by Michael P. Hitchman (2017): Michael P. Hitchman.

Motivated by questions in cosmology, the open-content text *Geometry with an Introduction to Cosmic Topology* uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits. *Geometry* is suitable for a semester course in non-Euclidean geometry or as a guide to independent study, with over 200 exercises and several essays on topics including the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.

** ****Intermediate Algebra for Science, Technology, Engineering, and Mathematics** by Darlene Diaz (2020): Santiago

Canyon College.

This textbook is an adaptation from Tyler Wallace’s Beginning and Intermediate Algebra, and Diaz's authored work. This is a textbook for a stem-track intermediate algebra, Intermediate Algebra for Science, Technology, Engineering, and Mathematics, that was licensed under a Creative Commons Attribution. Diaz used most of Wallace textbook’s examples in addition to her authored materials in order to fit the course outline of record for SCC’s Intermediate Algebra.

**Algebra and Trigonometry** by Various Authors (2020): OpenStax.

*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 ensure 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.

**Trigonometry** by Ted Sundstrom (2016): Grand Valley State University.

This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged.

**A First Course in Linear Algebra** by K. Kuttler (2017): Lyryx.

A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as 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.

** Linear Algebra with Applications** by W. Keith Nicholson (2019): Lyryx.

*Linear Algebra with Applications* by W. Keith Nicholson, traditionally published for many years 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.

**Linear Algebra: A Course for Physicists and Engineers** by Arak M. Mathai and Hans J. Haubold (2017): De Gruyter.

Intended for students of physics, engineering, satellite communication, space and atmospheric sciences, climate and meteorology. Covers matrices, vectors, determinants, eigenvalues and eigenvectors, and applications. In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered.

**Precalculus** by Various Authors (2020): OpenStax.

*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.

** ****Active Prelude to Calculus** by Matthew Boelkins (2019): Grand Valley State University Libraries.

Active Prelude to Calculus is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus.

**Calculus** by Various Authors (2020): OpenStax.

*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.

** Calculus: Early Transcendentals** by D. Guichard (2017): Lyryx.

*Calculus: Early Transcendentals*, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable textbook provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses.

**Active Calculus** by Matthew Boelkins (2020): Grand Valley State University.

*Active Calculus* is different from most existing calculus texts: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; there are live WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source. Following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

** Active Calculus Multivariable** by Steven Schlicker (2020): Grand Valley State University.

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts: is different from most existing calculus texts: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; there are live WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source. Following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

- In this course, we explore how to use standard mathematical and business formulas, and how to translate verbal descriptions into mathematical equations to establish relationships and create predictions. In the later units, we explore how to use graphs to make these same predictions. You can apply the problem solving strategies we discuss in this course to business, science, and many other fields.
- This page includes links to study tips and a series of course lectures: Pre-Algebra, Basic Algebra, Intermediate Algebra, College Algebra, and Calculus.
- Calculus can be thought of as the mathematics of change. Because everything in the world is changing, calculus helps us track those changes. Algebra, by contrast, can be thought of as dealing with a large set of numbers that are inherently constant.
- In this course, you will be introduced to basic algebraic operations and concepts, as well as the structure and use of algebra. Topics include linear inequalities and graphing, exponents, polynomials, and rational expressions. You will study basic algebraic operations and concepts, as well as the structure and use of algebra. This includes solving algebraic equations, factoring algebraic expressions, working with rational expressions, and graphing linear equations.
- We use math in our daily activities as part of almost every career you can imagine, from business to cooking, farming, or medicine. Many consider math the "universal language", since people across the world use the same numbers, formulas, and equations to help them navigate their lives. In this course, we will study fundamental math concepts and how you can use them in your life.
- In this course, we also study the relationships that exist between lines and angles. Urban planners study lines and angles to efficiently arrange houses, buildings, roads, and highways. Our street maps, water supply, and electrical connections all depend on these precise geometric calculations. How much space is inside a three-dimensional object? You may not realize you are using principles of geometry when you are getting ready for a trip and you need to calculate how to fit two adults, three kids, four suitcases, and a dog into your car.
- Click on "Mathematics" for a full, robust & varied list of math courses. These range from finite math & introductory classes to various levels of algebra, statistics, calculus, and more.
- Course covers Right triangles & trigonometry, Non-right triangles & trigonometry, Trigonometric functions, Trigonometric equations and identities.

Accessible Math (Diagram Center)

AIM: OER Math Books (American Institute of Mathematics)

ck12 Subjects: Math (ck12)

Coconino Community College Math OER (CCC)

Gizmos (Explore Learning)

IntechOpen Math Textbooks (IntechOpen)

Khan Academy: Math (Khan Academy)

List of OER books (OpenTextBookStore)

Mathematics Bookshelf (LibreTexts)

Precalculus Text & Course Archive (University of Washington)

Saylor Math Course List (Saylor Academy)

Scottsdale Community College Math Blog (SCC Faculty)

Seeing Theory: A Visual Intro to Probability and Statistics (Brown University)

- Last Updated: Mar 20, 2023 6:51 PM
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