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Abstract Algebra Course Content
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The Abstract 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. Team LeadAnna Davis                                         Ohio Dominican UniversityContent ContributorsMatt Davis                                          Muskingum UniversityRob Kelvey                                        College of WoosterLibrarianDaniel Dotson                                    Ohio State University                     Review TeamJim Cottrill                                          Ohio Dominican UniversityBart Snapp                                          Ohio State University

Subject:
Mathematics
Algebra
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
01/09/2019
Abstract Algebra: Theory and Applications
Read the Fine Print
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This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

Subject:
Algebra
Material Type:
Textbook
Provider:
University of Puget Sound
Author:
Thomas Judson
Date Added:
01/01/2016
Algebra and Trigonometry
Unrestricted Use
CC BY
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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.

Subject:
Algebra
Trigonometry
Material Type:
Textbook
Provider:
Rice University
Provider Set:
Openstax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
01/29/2015
College Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
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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).

Subject:
Algebra
Material Type:
Textbook
Provider:
Stitz-Zeager Open Source Mathematics
Author:
Carl Stitz
Jeff Zeager
Date Added:
07/15/2011
College Algebra
Unrestricted Use
CC BY
Rating

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.

Subject:
Algebra
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Jay Abramson
Date Added:
11/09/2021
College Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
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This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic
functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

Subject:
Mathematics
Material Type:
Textbook
Author:
Richard W. Beveridge
Date Added:
09/02/2018
College Algebra Course Content
Rating

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 

Subject:
Mathematics
Algebra
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
01/09/2019
College Algebra Course Content, Exponential and Logarithmic Functions, Exponential and Logarithmic Functions
Conditional Remix & Share Permitted
CC BY-NC
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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

Subject:
Mathematics
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
06/16/2019
College Algebra Course Content, Polynomial and Rational Functions, Polynomial and Rational Functions
Conditional Remix & Share Permitted
CC BY-NC
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This material covers Chapter 5: Polynomial and Rational 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. Photo by Jimmy Chang on Unsplash

Subject:
Mathematics
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
06/16/2019
College Algebra Course Content, Systems of Equations and Inequalities, Systems of Equations and Inequalities
Conditional Remix & Share Permitted
CC BY-NC
Rating

This material covers Chapter 7: Systems of Equations and Inequalities 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. Photo by shawn henry on Unsplash

Subject:
Mathematics
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
06/16/2019
College Algebra & Trigonometry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

Subject:
Algebra
Trigonometry
Material Type:
Textbook
Author:
Richard W. Beveridge
Date Added:
04/27/2020
Elementary Algebra
Unrestricted Use
CC BY
Rating

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

Subject:
Algebra
Material Type:
Full Course
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Denny Burzynski
Wade Ellis
Date Added:
08/16/2010
Elementary Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

Subject:
Algebra
Material Type:
Textbook
Provider:
The Saylor Foundation
Author:
John Redden
Date Added:
11/09/2021
Elementary Algebra
Unrestricted Use
CC BY
Rating

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.

Subject:
Algebra
Material Type:
Textbook
Provider:
Rice University
Provider Set:
Openstax College
Author:
Lynn Marecek
MaryAnne Anthony-Smith
Date Added:
04/27/2020
Elementary Calculus
Read the Fine Print
Educational Use
Rating

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

Subject:
Calculus
Material Type:
Textbook
Author:
Michael Corral
Date Added:
11/02/2021
The Essence of Mathematics Through Elementary Problems
Unrestricted Use
CC BY
Rating

t is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside.

The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline.

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.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Open Book Publishers
Author:
Tony Gardiner
Date Added:
06/01/2019
Intermedia Algebra
Unrestricted Use
CC BY
Rating

This is a great textbook for Intermediate Algebra or College Algebra course. This textbook includes covers standard topics such as linear functions/equation, graphs and functions, systems of linear equations, polynomials, rational functions, roots and radicals, quadratic functions/equations, exponential and logarithmic functions, conics, and sequences and series. All of topics are self-contained and instructors do not have to provide supplements. However, instructors, who plan to cover trigonometric functions, may need to provide extra materials.

Subject:
Algebra
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Lynn Marecek
Date Added:
04/27/2020
Intermediate Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines.

Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines.

Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success.

A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today.

The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.

Subject:
Algebra
Material Type:
Textbook
Provider:
The Saylor Foundation
Author:
John Redden
Date Added:
11/09/2021
Linear Algebra: Another Example of a Projection Matrix
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 22-minute video lesson shows another example of a projection matrix. It shows how to figure out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first.

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Linear Algebra: Determinant When Row is Added
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 17-minute video lesson looks at the determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices).

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Linear Algebra: Finding Projection Onto Subspace with Orthonormal Basis Example
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

This 7-minute video lesson gives an example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis.

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011