Many aspects of the world can be modeled using differential equations that relate the rates of change to variables (first order differential equations) or even the rates of change of the rates of change (second order differential equations).
Differential Equations will attempt to help you solve those equations.
However, there is more than just solving differential equations. It is equally important to know how well behaved the differential equations and solutions are.
| It is the physicist's job to model reality and derive appropriate differential equations that correctly describe the behavior of the system. |
| It is the engineer's job to solve those equations into explicit solutions. |
| It is the mathematician's job to verify that a solution does indeed exist. |
| The engineer hopes that her equations model reality. |
| The physicist believes that reality obeys his equations. |
| The mathematician doesn't care. |
| The biologist asks "What is an equation?" |
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| Course web site is under development in preparation for autumn 2008 semester. |
Lawrence E. Turner, Jr., Ph.D.
Professor of Mathematics and Physics
Chair, Mathematics and Physical Sciences Department
Department of Mathematics and Physical Sciences
Southwestern Adventist University
Keene, TX 76059
(817) 202-6708
turner@swau.edu
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