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APEX Calculus
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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
Material Type:
Textbook
Provider:
APEX: Affordable Print and Electronic TeXtbooks
Author:
Brian Heinold
Dimplekumar Chalishajar
Gregory Hartman
Troy Siemers
Accuracy of Series Approximations
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In physics and mathematics, series expansions to approximate functions are often used because using the exact solution is either impossible or involves unnecessary complicated calculations. This Demonstration shows accuracy for a series of expansions and how adding terms increases that accuracy moving away from the origin.

Subject:
Calculus
Physics
Material Type:
Reading
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Fred E. Moolekamp III
Kevin L. Stokes
Active Calculus
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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:
Mathematics
Calculus
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matt Boelkins
Steve Schlicker
Advanced Calculus
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Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

Subject:
Calculus
Material Type:
Textbook
Provider:
Harvard University
Provider Set:
Individual Authors
Author:
Sternberg Shlomo and Lynn Loomis
Applied Calculus
Conditions of Use:
No Strings Attached
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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
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Shana Calaway
Area Between Curves
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The goal of this applet is not to calculate the area between two curves but to look at different cases. The students are encouraged to change the Graphss and see how the integration intervals change.

Subject:
Calculus
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Area Under Curve Problem
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Students can explore what seems to be a simple problem to discover that it may take a bit more Calculus work. The instructions and solution can be found at: dl.dropbox.com/u/4540980/Geogebra/Equal_Area_Assignment.pdf" rel="nof

Subject:
Calculus
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Area of Circles
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Explore the formula for the area of a circle, by cutting it into sectors and rearranging the sectors to form a figure close to a parallelogram. By increasing the no. of sectors, students observe that the figure tends to a rectangle and get the formula for

Subject:
Calculus
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Area of Circles
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Explore the formula for the area of a circle, by cutting it into sectors and rearranging the sectors to form a figure close to a parallelogram. By increasing the no. of sectors, students observe that the figure tends to a rectangle and get the formula for

Subject:
Calculus
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Area of Circles
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Explore the formula for the area of a circle, by cutting it into sectors and rearranging the sectors to form a figure close to a parallelogram. By increasing the no. of sectors, students observe that the figure tends to a rectangle and get the formula for

Subject:
Calculus
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Area of Circles
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Explore the formula for the area of a circle, by cutting it into sectors and rearranging the sectors to form a figure close to a parallelogram. By increasing the no. of sectors, students observe that the figure tends to a rectangle and get the formula for

Subject:
Calculus
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Armstrong Calculus
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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
Material Type:
Textbook
Provider:
University System of Georgia
Provider Set:
Galileo Open Learning Materials
Author:
Jared Schlieper,
Michael Tiemeyer
Brief Calculus
Conditions of Use:
No Strings Attached
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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:
Mathematics
Calculus
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Business Calculus
Conditions of Use:
No Strings Attached
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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
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Business Calculus (MATH 148)
Conditions of Use:
No Strings Attached
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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
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Calculus
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Published in 1991 by 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.

In addition to the Textbook, 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.

Subject:
Mathematics
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Author:
Gilbert Strang