## PrefaceHow to Use this Text

Because the text is free, any professor or student may use the electronic version of the text for no charge. For reading on laptops or mobile devices, the best electronic version to use is the .html version of the text, but you can find links to a pdf and hard copy of the text at https://activecalculus.org/. Furthermore, because the text is open-source, any instructor may acquire the full set of source files, which are available on GitHub.

This text may be used as a stand-alone textbook for a standard multivariable calculus course or as a supplement to a more traditional text. Chapter 9 introduces functions of several independent variables along with tools that will be used to study these functions, namely vectors and vector-valued functions. Chapter 10 studies differentiation of functions of several independent variables in detail, addressing the typical topics including limits, partial derivatives, and optimization, while Chapter 11 provides the standard topics of integration of multivariable functions.

Electronic Edition

Because this text is free and open-source, we hope that as people use the text, they will contribute corrections, suggestions, and new material. At this time, the best way to communicate such feedback is by email to Steve Schlicker at schlicks@gvsu.edu.