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Calculus Volume 3: OpenStax

textbook cover image
Calculus Volume 3 Cover is copyrighted by Rice University. It is not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.

Description: Published by OpenStax College, 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 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Author: Gilbert Strang, Massachusetts Institue of Technology, Edwin “Jed” Herman, University of Wisconsin-Stevens Point

Adoption (faculty): Contact us if you are using this textbook in your course

Adaptations: Support for adapting an open textbook

Open Textbook(s):

  1. WEBSITE External website. This icon is licensed under a Creative Commons
		Attribution 3.0 License. Copyright Yusuke Kamiyamane. Read this book online
  2. DOWNLOAD XHTML file. This icon is licensed under a Creative Commons
Attribution 3.0 License. Copyright Yusuke Kamiyamane. EDITABLE: .html file (75 MB)
  3. WEBSITE External website. This icon is licensed under a Creative Commons
		Attribution 3.0 License. Copyright Yusuke Kamiyamane. Instructor Resources
  4. WEBSITE External website. This icon is licensed under a Creative Commons
		Attribution 3.0 License. Copyright Yusuke Kamiyamane. Student Resources
  5. PRINT Buy a print copy (U.S.)
  6. WEBSITE External website. This icon is licensed under a Creative Commons
		Attribution 3.0 License. Copyright Yusuke Kamiyamane. FIND: Calculus Vol 2
  7. WEBSITE External website. This icon is licensed under a Creative Commons
		Attribution 3.0 License. Copyright Yusuke Kamiyamane. FIND: Calculus Vol 1
  8. DOWNLOAD PDF file. This icon is licensed under a Creative Commons
Attribution 3.0 License. Copyright Yusuke Kamiyamane. Print (.pdf) (15 MB)
  9. PRINT Buy a print copy (Cdn)

1. Reviewed by: Pamini Thangarajah
  • Institution: Mount Royal University (Calgary)
  • Title/Position: Associate Professor
  • Overall Rating: 4.1 out of 5
  • Date:
  • License: Creative Commons License

Q: The text covers all areas and ideas of the subject appropriately and provides an effective index and/or glossary

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

This text covers most of the areas and the ideas of the subject appropriately and provides an effective glossary at the end of each chapter. However, we need to add more difficult examples and problems in some sections. Especially, the topics my students found most challenging.

Comprehensiveness Rating: 3 out of 5

Q: Content is accurate, error-free and unbiased

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

The content presented in this text are accurate, error-free and unbiased.

Content Accuracy Rating: 4 out of 5

Q: Content is up-to-date, but not in a way that will quickly make the text obsolete within a short period of time. The text is written and/or arranged in such a way that necessary updates will be relatively easy and straightforward to implement

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.
This is a mathematics text, and most of the contents of this text were discovered very long time ago. If there is any changes to content, then it would be easy to make.

Relevance Rating: 5 out of 5

Q: The text is written in lucid, accessible prose, and provides adequate context for any jargon/technical terminology used

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

The content in this text is clearly explained and written in such way that our students able to flow. However, it lacks rigor in some topics (or example: definition of limit, multiple integrals, vector calculus etc) for a typical Canadian curriculum.

Clarity Rating: 3 out of 5

Q: The text is internally consistent in terms of terminology and framework

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

The writing style is consistent across all the chapters. This text introduced concepts often through real world applications, and illustrated with student projects.

Consistency Rating: 4 out of 5

Q: The text is easily and readily divisible into smaller reading sections that can be assigned at different points within the course (i.e., enormous blocks of text without subheadings should be avoided). The text should not be overly self-referential, and should be easily reorganized and realigned with various subunits of a course without presenting much disruption to the reader.

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

The text is easily divisible into smaller reading sections. However, the source file is needed to edit the text to suit the needs of
various calculus courses.

Modularity Rating: 4 out of 5

Q: The topics in the text are presented in a logical, clear fashion

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

The topics in the text are presented clearly and logically. However, it lacks rigor in some topics.

Organization Rating: 3 out of 5

Q: The text is free of significant interface issues, including navigation problems, distortion of images/charts, and any other display features that may distract or confuse the reader

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.

Given that the text is in pdf form, it is free of any interface issues.

Interface Rating: 5 out of 5

Q: The text contains no grammatical errors

I am only reviewing a part 3 of a calculus text. My answer below applies to this part only.
I couldn't find any grammatical, and/or mathematical errors from the presented materials.

Grammar Rating: 5 out of 5

Q: The text is not culturally insensitive or offensive in any way. It should make use of examples that are inclusive of a variety of races, ethnicities, and backgrounds

This is mathematics text. This text is not culturally insensitive or offensive in any way.

Cultural Relevance Rating: 5 out of 5

Q: Are there any other comments you would like to make about this book, for example, its appropriateness in a Canadian context or specific updates you think need to be made?

There are many free texts available, but the quality is a concern. I believe that this text is a good start for an open source textbook. The writing style is consistent across all the chapters. It introduced concepts often through real world applications and illustrated with student projects. However, Calculus at this level (typical Canadian curriculum) is expected to be much more rigor than the exposition of some topics ( for example: definition of limit, multiple integrals etc.) in this text.
This text is better suited for those who are willing to (if the source files (LATEX) that allow others to) edit the text to suit the needs of
various calculus courses. Furthermore, the exposition on the differential equations in this text is light. If the course includes content on differential equations, one needs to create supplementary notes.