Vector Calculus in Maple with References to Transport Phenomena.[1]

This webpage is a tutorial in applying Maple's packages for Vector Calculus, vectors, and matrices in general.  The Tensor and the LinearAlgebra packages are also demonstrated in less depth.  If anyone is taking Multivariable Calculus, you might want to get an even better understanding of relevant commands by typing ? Vector Calculus in the Maple command line.  Of the items that the help program lists in the side bar, there is a built-in example worksheet to provide a better understanding of the basics. 

Vector Calculus in Maple: Getting Started

Constructing Vectors and Vector Fields

Mapping a Vector to Various Coordinate Systems

Constructing a Tensor Versus Constructing a Matrix

Algebraic Operations with Tensors Versus Matrices:
Emphasis on Operations in Appendix A.3

Differential Operations on Matrices and Vectors:
Emphasis on Operations in Appendix A.4

An Application from Appendix B.1

Newton's Law of Viscosity: Appendix B.1

An Example with Explicit Velocity Vectors

 

 

Brandon Zuniga

CHBE 402

Professor S.H. Davis

Spring 2006

 



[1] Bird, Byron R., Warren E. Stewart, Edwin N. Lightfoot.  Transport Phenomena.  2nd ed.  New York: John Wiley & Sons, Inc., 2002.