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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
Adding vectors algebraically & graphically
Conditional Remix & Share Permitted
CC BY-NC-SA
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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/28/2018
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 Course Content
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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, Equations and Inequalities, Equations and Inequalities
Conditional Remix & Share Permitted
CC BY-NC
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This material covers Chapter 2: 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.Image by Rudy and Peter Skitterians from Pixabay 

Subject:
Mathematics
Algebra
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
06/16/2019