The Calculus I course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in February 2019. The course is part of the Ohio Transfer Module and is also named TMM005. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadJim Fowler Ohio State UniversityRita Ralph Columbus State Community CollegeContent ContributorsNela Lakos Ohio State UniversityBart Snapp Ohio State UniversityJames Talamo Ohio State UniversityXiang Yan Edison State Community CollegeLibrarianDaniel Dotson Ohio State University Review TeamThomas Needham Ohio State UniversityCarl Stitz Lakeland Community CollegeSara Rollo North Central State College
After completing this section, students should be able to do the following.Know the graphs and properties of ‘‘famous’’ functions.Know and use the properties of exponential and logarithmic functions.Understand the relationship between exponential and logarithmic functions.Understand the definition of a rational function.Understand the properties of trigonometric functions.Evaluate expressions and solve equations involving trigonometric functions and inverse trigonometric functions.
College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended).
The College Algebra 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 TMM001. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadNicholas Shay Central Ohio Technical College (now at Columbus State Community College)Content ContributorsRachida Aboughazi Ohio State UniversityEvelyn Kirschner Columbus State Community CollegeDavid Kish Ohio Dominican UniversityLibrarianDaniel Dotson Ohio State University Review TeamFauna Donahue University of Rio GrandeJared Stadden Kent State University Geauga
This material covers Chapter 6: Exponential and Logarithmic Funcitons chapter of the OpenStax College Algebra Text. This module contains an overview of learning objectives mapped to the OTM state standards, worksheets that correspond to chapter sections, interactive Desmos Activities that pair with the chapter, and a list of supplemental videos that correspond to the chapter content.Image by Arek Socha from Pixabay
Activity Sheets, tightly aligned with the OpenStax College Algebra text, and designed for use in class as part of an active lecture. During the 2020-2021 pandemic, the activity sheets were used successfully in both group and individual settings in hybrid and fully online learning environmentsThis resource includes activities formatted both as accessible Word documents, for ease of use under the CC-BY 4.0 license, and in pdf form to preserve historically the intended appearance on the page.These activity sheets align tightly with the OpenStax College Algebra textbook and an available MyOpenMath Course called the College Algebra Western MD Consortium (MOST), an inter-institutional effort comprised of mathematics faculty, instructional designers, and libriarians from Frostburg State University, Allegany College of Maryland, and Garrett College.
The 2nd Edition of Intermediate Algebra, 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.
The second edition contains detailed updates and accuracy revisions to address comments and suggestions from users. Dozens of faculty experts worked through the text, exercises and problems, graphics, and solutions to identify areas needing improvement. Though the authors made significant changes and enhancements, exercise and problem numbers remain nearly the same in order to ensure a smooth transition for faculty.
A course containing formative and summative assessments, guided reading notes, and in-class active-learning activities tightly aligned with OpenStax College Algebra with trigonometric topics from the OpenStax Algebra with Trigonometry textbook. Ancillary materials are available for download from OER Commons (See Note to Instructors within course) include active-learning worksheets and guided reading note assignments.Topics covered support transferability of College Algebra from two-year to four-year institutions within the University System of Maryland, including verbal, tabular, graphical, and algebraic representations of the functions of college algebra (linear, power/polynomial, rational, exponential, logarithmic, and trigonometric), operations and characteristics of functions, transformations, and systems of linear and nonlinear functions. Prerequisite topics and a review of intermediate algebra are included with assessment but without ancillary materials. This course is suitable for flipped classrooms as well as active-learning environments or may be used without the activity sheets for hybrid or online delivery. It has been used successfully with instructor-created lecture videos (not included) for intense 3 to 6 week online sessions.Provided by the Western Maryland OER Collaboration, an interinstitutional team supported by the Maryland Open Source Textbook Initiative (M.O.S.T.).