Open Textbooks for Rural Arizona participants are invited to remix this template to share their courses, textbooks, and other OER material on our Hub.
Material Type: Textbook
This is a shareable Intermediate Algebra course with the following topics: Functions Factoring Radicals Rational Quadratics
Material Type: Full Course
This workbook was created by mathematics instructors at Scottsdale Community College in Scottsdale, Arizona. It is designed to lead students through Intermediate Algebra, and to help them develop a deep understanding of the concepts. The included curriculum is broken into twelve lessons.
Material Type: Textbook
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 ensures 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.
Material Type: Textbook
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. Note: this resource now links to the second edition, released in 2021. This record is in maintained in OER Commons to allow users to see endorsements, reviews, etc... for the 1st edition.
Material Type: Textbook
The Fraction module is separated into five pages. Each page except the first page has videos and lecture notes. At the end of the entire module are review problems. The review problems are a set of exercises in Derivita that correspond to the skills covered in the lecture pages and the videos.The instructors can choose to assign the practice problems based on their students' needs.This work was created by Kathryn Kozak, and it is licensed under a Creative Commons Attribution 4.0 International License.CC-BY
Material Type: Homework/Assignment, Lecture, Lecture Notes, Lesson, Module
The Exponents and Radicals module is separated into two parts -- exponents and radicals. Each part has two subtopics. Each subtopic has a video lecture page and a practice assignment. The video lecture page includes guided notes in pdf form and videos that follow the guided notes. There are also Word document versions of the notes in the "files" section of this course for instructor convenience. Each video lecture page also includes supplemental YouTube videos which are optional for students and may be used if further instruction is needed. The practice assignment is a set of exercises in Derivita that correspond to the skills covered in the video lecture.There are also two review assignments in this module -- one for exponents and one for radicals. These assignments cover everything from that part of the module, rather than being broken up into parts like the practice assignments. So there are a total of six assignments in the module and instructors can choose which assignments are most appropriate for their students' needs.This work, by Madilyn Marshall, is licensed under a Creative Commons Attribution 4.0 International License.CC-BY
Material Type: Homework/Assignment, Lecture, Lecture Notes, Lesson, Module
Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.
Material Type: Full Course
Complete course available at MyOpenMath. Course ID:142672 . This work was supported in part by a Wright College grant to create ancillary materials to augment OER materials.
Material Type: Full Course
This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)
Material Type: Assessment, Full Course, Reading, Syllabus, Textbook
This is the curriculum for a asynhronous Calculus III course implemented for an eight-week semester and based on courses, which the author taught in 2016-2021 at Middlesex Community College and MassBay Community College.
Material Type: Full Course
Introduction to the theory and techniques of differential and integral calculus of elementary functions with emphasis on applications in business and finance, taught both online and in-person in Fall 2022 at Yavapai College. Note: Computer use and graphing calculator required (TI-83/84 recommended).This course makes use of an embedded OER textbook, but also uses Lumen OHM homework assignments; these require a subscription to Lumen, which in this instance was provided by the institution. In cases where that is not possible, the homework assignments will need to be replaced, or students will have to pay a fee to access the homework. Contact Lumen to find out more about student access to its homework platforms.
Material Type: Full Course
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.
Material Type: Full Course
The Quadratics module is divided into 4 parts, including (1) solving by factoringm, (2) solving using the square root property and completing the square, (3) solving using the quadratic formula, and (4) solving by graphing. The goal is for students to recognize the strategies for solving quadratics, and even higher degree functions that can employ the same strategies. For each strategy there is a video page and then a practice homework page. The video pages include printable word documents that are the notes. Each video page is followed by a practice homework page in Derivita.This work, by Cheryl Meilbeck, is licensed under a Creative Commons Attribution 4.0 International License.Links to an external site.CC-BY
Material Type: Homework/Assignment, Lecture, Lecture Notes
Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra 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.
Material Type: Textbook
Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under a Creative Commons Attribution 3.0 Unported License. There is also a student guide and supplemental videos for each section.
Material Type: Textbook
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.
Material Type: Textbook
Course Objective: This course is an introduction to basic algebra; elements of probability and statistics; and basic concepts of Euclidean geometry, including congruence, similarity, measurements, areas, and volumes.
Material Type: Lecture Notes
This course is an introduction to problem solving; logic, sets, and operations on sets; and properties and operations on whole numbers, integers, rational numbers, irrational numbers, and real numbers. Modelling techniques necessary for future elementary educators will also be covered in this course.
Material Type: Lecture Notes
