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APEX Calculus: UND Edition
Conditional Remix & Share Permitted
CC BY-NC
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This text comprises a three–volume series on Calculus. The first part covers material taught in many “Calculus 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6. The second text covers material often taught in “Calculus 2”: integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 7 through 10. The third text covers topics common in “Calculus 3” or “Multivariable Calculus”: parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 11 through 15. All three are available separately for free.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of North Dakota
Author:
Gregory Hartman
University of North Dakota Mathematics Department
Date Added:
07/01/2017
The Art of Analysis
Only Sharing Permitted
CC BY-NC-ND
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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
Date Added:
09/02/2022
Basic Analysis: Introduction to Real Analysis
Conditional Remix & Share Permitted
CC BY-NC-SA
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This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course would. It should be possible to use these notes for a beginning of a more advanced course, but further material should be added.

Subject:
Mathematics
Material Type:
Textbook
Provider:
University of Illinois at Urbana-Champaign
Author:
Ji?í Lebl
Date Added:
12/05/2019
Calculus II Course Content
Conditional Remix & Share Permitted
CC BY-NC
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The Calculus II 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 TMM006. 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
Date Added:
11/02/2020
Calculus II Course Content, Sequences, Sequences Modules
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Define a sequence.Write the first several terms of a sequence using an explicit formula.Write the first several terms of a sequence using a recurrence relation.Find an explicit formula for a sequence given recursively.Find a recurrence relation for a sequence given explicitly.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content, Sequences as functions, Sequences as functions module
Conditional Remix & Share Permitted
CC BY-NC
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0.0 stars

After completing this section, students should be able to do the following.Recognize sequences can be generated by functions.Compute limits of sequences.Understand growth rates of basic sequences.Introduce important terminology for sequences.Apply the monotone convergence theorem 

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus Volume 2
Unrestricted Use
CC BY
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Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Discrete Mathematics: An Open Introduction
Conditional Remix & Share Permitted
CC BY-SA
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0.0 stars

Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.

Subject:
Mathematics
Material Type:
Textbook
Author:
Oscar Levin
Date Added:
12/05/2019
Intermedia Algebra
Unrestricted Use
CC BY
Rating
0.0 stars

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
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Lynn Marecek
Date Added:
12/05/2019