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Christopher Hammond, Professor of Mathematics at Connecticut College, published The Art of Analysis, an introductory textbook in real analysis. This resource is freely available for anyone to use, either individually or in a classroom setting.

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
Provider:
Connecticut College
Author:
Christopher Hammond
08/19/2022
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CC BY-NC-SA
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CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.

Subject:
Calculus
Functions
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
10/06/2009
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Calculus Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Calculus Student Edition. The solution guide is available upon request.

Subject:
Calculus
Functions
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Dreyfuss, Andrew
Narasimhan, Ramesh
Prolo, Jared
06/24/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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The following notes and practice problems are ancillary materials for OpenStax Calculus Volume 1. Topics include:

Limit of a Function
Continuity
Derivatives
Differentiation

Subject:
Calculus
Material Type:
Homework/Assignment
Provider:
Fort Valley State University
Author:
Ishwari Kunwar
Patachin Marion
10/03/2022
Unrestricted Use
CC BY
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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:
Social Science
Psychology
Material Type:
Full Course
Provider:
Rice University
Provider Set:
OpenStax College
02/14/2014
Conditional Remix & Share Permitted
CC BY-NC
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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:
Social Science
Psychology
Material Type:
Module
Provider:
Rice University
Provider Set:
OpenStax College