About
Welcome to 3Demos. This is a tool dedicated to visualizations for
multivariable calculus. There are three ways in which one can interact
with this tool: story mode, creative mode, and session mode.
In story mode, the user can select a topic from the table of contents
menu. A mix of theories, examples, and exercises on the topic will be
presented along with relevant graphical objects. Some interactive
elements that can be played on the platform are embedded in the text.
Session mode enables users to create a room where they act as the
host, allowing other users to join as participants. In this mode, the
host can share objects with other users, pose poll questions, and
display the poll results to everyone in the room.
Creative mode explains how you can create objects and use the tool. To
start creating simply go to the “Objects” list accessible from the
lower accordion-style tab. Here, one can create, edit, and remove as
many of the objects as one pleases. Note that hardware limitations may
affect performance.
Acknowledgments
Drew Youngren, a Lecturer in the Discipline of Applied Mathematics
within the Department of Applied Physics and Applied Mathematics at
Columbia University, serves as the Principal Investigator for this
project. He developed the beta version of the tool as a means to
engage with his students virtually during the pandemic.
This site is an open source project released under the GPL license. See the GitHub repository
for more information. Much credit must go to the authors and
contributors of the brilliant three.js
library for the graphics (and, by extension, WebGL itself) as well
as math.js for the math parsing and
processing.
Special appreciation is extended to Columbia University's Center for
Teaching and Learning, which made significant contributions to
enhancing the tool's performance and accessibility. Additionally, they
introduced new features such as the robust session mode, greatly
enriching the learning experience for both students and teachers.
Finally, the pioneering work of Paul Seeburger and his CalcPlot3D project deserves acknowledgment, as it covers much of the
functionality of this tool, accomplishing it first with better
performance.
The Fu Foundation School of Engineering and Applied Science 
Center for Teaching and Learning at Columbia University