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APEX Calculus
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CC BY-NC
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APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
APEX: Affordable Print and Electronic TeXtbooks
Author:
Brian Heinold
Dimplekumar Chalishajar
Gregory Hartman
Troy Siemers
Date Added:
01/01/2014
APEX Calculus
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Access also available here: http://www.apexcalculus.com/

Table of Contents
Chapter 1: Limits
Chapter 2: Derivatives
Chapter 3: The Graphical Behavior of Functions
Chapter 4: Applications of the Derivative
Chapter 5: Integration
Chapter 6: Techniques of Antidifferentiation
Chapter 7: Applications of Integration
Chapter 8: Sequences and Series
Chapter 9: Curves in the Plane
Chapter 10: Vectors
Chapter 11: Vector Valued Functions
Chapter 12: Functions of Several Variables
Chapter 13: Multiple Integrations
Chapter 14: Vector Analysis

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
APEX: Affordable Print and Electronic TeXtbooks
Author:
Brian Heinold
Dimplekumar Chalishajar
Gregory Hartman
Troy Siemers
Date Added:
01/01/2014
APEX PreCalculus
Conditional Remix & Share Permitted
CC BY-NC
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0.0 stars

This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
Amy Givler Chapman
Jessica Libertini
Meagan Herald
Date Added:
10/26/2023
Active Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
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Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matt Boelkins
Steve Schlicker
Date Added:
10/26/2023
Active Calculus 1.0
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matt Boelkins
Steve Schlicker
Date Added:
04/24/2019
Active Calculus 2.0
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding. For more information, see the author's website and blog.

Access also available here: https://scholarworks.gvsu.edu/books/15/

Table of Contents
1 Understanding the Derivative
2 Computing Derivatives
3 Using Derivatives
4 The Definite Integral
5 Finding Antiderivatives and Evaluating Integrals
6 Using Definite Integrals
7 Differential Equations
8 Sequences and Series

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
David Austin
Matthew Boelkins
Steven Schlicker
Date Added:
07/02/2019
Active Calculus 2.0
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matt Boelkins
Steve Schlicker
Date Added:
10/26/2023
Active Calculus 2.1
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; there are live WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding. For more information, see the author's website and blog.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
David Austin
Matthew Boelkins
Steven Schlicker
Date Added:
07/02/2019
Active Calculus Multivariable
Conditional Remix & Share Permitted
CC BY-NC-SA
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Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matthew Boelkins
Steven Schlicker
Date Added:
07/01/2018
Active Calculus Multivariable
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

2017 edition. Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

Access also available here: https://scholarworks.gvsu.edu/books/14/

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
David Austin
Matthew Boelkins
Steven Schlicker
Date Added:
07/02/2019
Active Calculus Multivariable: 2018 Edition
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are freely readable online in HTML format (new in this version of Active Calculus Multivariable) and are also available for in PDF; in the electronic format, graphics are in full color; the texts are open source, and interested instructors can gain access to the original source files on GitHub; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; each section contains a collection of WeBWorK exercises (with solutions available in the HTML version, new in this version) followed by several challenging problems that require students to connect key ideas and write to communicate their understanding.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
David Austin
Matthew Boelkins
Steven Schlicker
Date Added:
07/02/2019
Applied Calculus
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Educational Use
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Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Shana Calaway
Date Added:
04/25/2019
Applied Calculus for Computing
Unrestricted Use
CC BY
Rating
0.0 stars

Welcome to applied calculus for computing. Calculation intended to be a general method of solving quantifiable problems. In the application of the calculation method, or as it is known the”infinitesimal” method, a problem is”divided into infinitesimal parts”(differentiation), analysed in its relations with the neighbouring parts and then”added”(integration) until the solution method. The two parts of this the analysis and synthesis form a model for more sophisticated methods based on calculation, used in applied science concepts you learn in calculus allow statistical , physicists and engineers create mathematical models of real situations and real problems and simulate their resolutions under different operating conditions.

Subject:
Calculus
Mathematics
Material Type:
Module
Provider:
African Virtual University
Provider Set:
OER@AVU
Author:
Willian Munyiri
Date Added:
02/10/2018
Armstrong Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/.
The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text was to adopt an open-source textbook for Calculus while maintaining the typical schedule and content of the calculus sequence at our home institution.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University System of Georgia
Provider Set:
Galileo Open Learning Materials
Author:
Jared Schlieper,
Michael Tiemeyer
Date Added:
03/20/2015
Armstrong Calculus: A Remix of Active Calculus and APEX Calculus for Armstrong State University
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This text is an adaptation of two very excellent open-source textbooks: Active Calculus by Dr. Matt Boelkins and APEX Calculus by Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen. Topics include integrals, volume, arcs, density, physics applications, differential equations, and hyperbolic functions.

Table of Contents:
1. Using Definite Integrals to Find Volume
2. Volume by The Shell Method
3. Arc Length and Surface Area
4. Density, Mass, and Center of Mass
5. Physics Applications: Work, Force, and Pressure
6. An Introduction to Differential Equations
7. Separable differential equations
8. Hyperbolic Functions

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
Jared Schlieper
Michael Tiemeyer
Date Added:
01/23/2020
Brief Calculus
Unrestricted Use
CC BY
Rating
0.0 stars

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Date Added:
10/28/2014
Business Calculus
Read the Fine Print
Educational Use
Rating
0.0 stars

This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Date Added:
04/25/2019
Business Calculus (MATH 148)
Unrestricted Use
CC BY
Rating
0.0 stars

MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.

Subject:
Calculus
Mathematics
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
04/04/2019
Calculus
Unrestricted Use
CC BY
Rating
0.0 stars

This is a four unit module. The first two units cover the basic concepts of the differential and integral calculus of functions of a single variable. The third unit is devoted to sequences of real numbers and infinite series of both real numbers and of some special functions. The fourth unit is on the differential and integral calculus of functions of several variables.

Subject:
Calculus
Mathematics
Material Type:
Module
Provider:
African Virtual University
Provider Set:
OER@AVU
Author:
Ralph W.P. Masenge
Date Added:
03/14/2018
Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Table of Contents
Chapter 1: Introduction to Calculus
Chapter 2: Derivatives
Chapter 3: Applications of the Derivative
Chapter 4: The Chain Rule
Chapter 5: Integrals
Chapter 6: Exponentials and Logarithms
Chapter 7: Techniques of Integration
Chapter 8: Applications of the Integral
Chapter 9: Polar Coordinates and Complex Numbers
Chapter 10: Infinite Series
Chapter 11: Vectors and Matrices
Chapter 12: Motion along a Curve
Chapter 13: Partial Derivatives
Chapter 14: Multiple Integrals
Chapter 15: Vector Calculus
Chapter 16: Mathematics after Calculus

Also available from: https://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Gilbert Strang
Date Added:
01/01/2005