On the second day of class I set up our study of linear systems and matrices by talking about modeling steady-state heat conduction in a rectangular plate. We use the finite difference method to approximate the temperature at the nodes of a rectangular grid. Mathematically we have to solved 1600 equations in 1600 unknowns. Our solution is visualized as a surface plot. This leads to a discussion of the advances in computing software, numerical algorithms, and hardware in the last half of the 20th century that make this possible.
Simulations always involve physical and numerical parameters.
Simulations are used throughout the AEM course. Student smart classrooms provide additional opportunities for curriculum innovation. Not much according to our engineering colleagues who teach junior and senior courses that use differential equations. It is our hope that by retaining a portfolio of Maple worksheets, this review process will be more effective. Activities possible in student smart classrooms include Problem solving .