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The primary innovation of this text is a new perspective on teaching the theory of integration. Most introductory analysis courses focus initially on the Riemann integral, with other definitions discussed later (if at all). The paradigm being proposed is that the Riemann integral and the “generalized Riemann integral” should be considered simultaneously, not separately – in the same manner as uniform continuity and continuity. Riemann integrability is simply a special case of integrability, with particular properties that are worth noting. This point of view has implications for the treatment of other topics, particularly continuity and differentiability.

Subject:
Mathematics
Material Type:
Textbook
Author:
Christopher Hammond
09/02/2022
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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

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
11/02/2020
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After completing this section, students should be able to do the following.Identify where a function is, and is not, continuous.Understand the connection between continuity of a function and the value of a limit.Make a piecewise function continuous.State the Intermediate Value Theorem including hypotheses.Determine if the Intermediate Value Theorem applies.Sketch pictures indicating why the Intermediate Value Theorem is true, and why all hypotheses are necessary.Explain why certain points exist using the Intermediate Value Theorem.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
11/02/2020
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Psychology is designed to meet scope and sequence requirements for the single-semester introduction to psychology course. The book offers a comprehensive treatment of core concepts, grounded in both classic studies and current and emerging research. The text also includes coverage of the DSM-5 in examinations of psychological disorders. Psychology incorporates discussions that reflect the diversity within the discipline, as well as the diversity of cultures and communities across the globe.Senior Contributing AuthorsRose M. Spielman, Formerly of Quinnipiac UniversityContributing AuthorsKathryn Dumper, Bainbridge State CollegeWilliam Jenkins, Mercer UniversityArlene Lacombe, Saint Joseph's UniversityMarilyn Lovett, Livingstone CollegeMarion Perlmutter, University of Michigan

Subject:
Psychology
Social Science
Material Type:
Full Course
Provider:
Rice University
Provider Set:
OpenStax College
10/19/2022
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By the end of this section, you will be able to:Explain the figure-ground relationshipDefine Gestalt principles of groupingDescribe how perceptual set is influenced by an individual’s characteristics and mental state

Subject:
Psychology
Social Science
Material Type:
Module