Active Calculus - Multivariable

This text is an extension of the single variable Active Calculus by Matt Boelkins. The initial drafts of this multivariable edition were written by Steve Schlicker; editing and revisions were made by David Austin and Matt Boelkins. David Austin is responsible for the beautiful full-color graphics in Chapters 9 through 11. Many people at GVSU have shared their ideas and resources, which undoubtedly had a significant influence on the product. We thank them for all of their support. Most importantly, we would like to thank the students who have used this text and offered helpful advice and suggestions.

In advance, we also thank our colleagues throughout the mathematical community who have or will read, edit, and use this book, and hence contribute to its improvement through ongoing discussion. The following people have used early drafts of this text and have generously offered suggestions that have improved the text.

Early HTML versions of this text were made possible only because of the amazing work of Rob Beezer and his development of PreTeXt. Dr. Schlicker’s ability to take advantage of Rob’s work is largely due to the support of the American Institute of Mathematics, which funded him for a weeklong workshop in Mathbook XML in San Jose, CA, in April 2016. David Farmer also deserves credit for the original conversion of the text from LaTeX to PreTeXt. The PreTeXt community continues to provide enormous support and capabilities to all of the authors as we continually strive to provide an excellent text while updating the utility of this resource.

We are interested in your suggestions for improvments to this text, including any errors or inconsistencies you may find. Please join the Active Calculus - Multivariable Google Group¹¹ to see updates and provide feedback to the authors.

David Austin, Matt Boelkins, Steven Schlicker, Mitch Keller, Nick Long -2023.