This is a set of Maple 8 lessons for an undergraduate
course in Calculus IV or Vector Calculus, created
by Dr. Jack Wagner.
This course uses the new VectorCalculus package in
Maple 8 to introduce the student to vector derivatives, differential
geometry, integrals over vector fields, and the classic theorems
of Green, Gauss and Stokes.
Each lesson provides numerous examples of solved problems,
with rigorous justifications for the techniques and the Maple commands
used to implement them. There are exercises at the end of each lesson.
"Without the Maple software, we would have to spend weeks generating the equations of motion for every experiment. Then the chances that we did it right would basically be near zero. There would always be a mistake somewhere. It is very difficult to set up a dynamic motion model by hand." - Jean-Claude PiedBeouf, Ph.D Manager of Robotics, Canadian Space Agency
"Its very good - highly accurate and easy to use. The speed of Maple allows me to change equations and quickly reintegrate them into the application, so more possibilities can be explored to achieve the precise effect desired." Shawn Neely, Senior R & D Director for PDI/Dreamworks