Dr. Robert Lopez

The Multivariate Calculus Study Guide A Manual for Maple's Syntax-Free Approach to Multivariate Calculus

The Multivariate Calculus Study Guide was originally an ebook separate from Maple itself. Since the release of Maple 2021, it has been wholly incorporated into the help system of Maple. So every recent copy of Maple contains the complete Guide!

What is this Guide? It's a supplement to any multivariate calculus course where access to Maple is deemed useful. It is not designed as a replacement for any of the standard calculus texts in use today. However, it demonstrates how Maple augments the multivariate course, implementing the syntax-free approach Maplesoft calls "Clickable Calculus." As such, it both illuminates the calculus and illustrates how this enhanced learning is implemented without a need for first mastering any syntax.

The nine chapters of this Guide parallel the development of the typical multivariate calculus course, beginning with a treatment of vectors, lines and planes, followed by an investigation of space curves and the quadric surfaces, before looking at functions of several variables, their possible graphs, and the meaning of limits and continuity for such functions. A chapter on partial derivatives and all related matters is followed by chapters on the double integral and applications, and triple integrals and applications. The final chapter is a unit on vector calculus.

Each section in the guide provides a summary of the essential mathematics needed in that section, and then a number of examples illustrating that mathematics. A substantial portion of the 714 examples in the work have a mathematical solution that is free of any computer notation, an interactive Maple solution highlighting all relevant Clickable Calculus tools, and a Maple solution given in terms of relevant Maple commands. And there is an Appendix of basic Maple techniques that will serve the needs of a beginner who did not have exposure to Maple in any previous course.

This webinar will show how to access the Guide, and will sample enough of it to suggest its many benefits in the classroom.

Language: English
Duration: 90 Minutes
Related Terms: Multivariate, Calculus, Clickable-calculus, Graph