MTH 204: Differential Equations and Numerical Methods in Engineering

Engineers and scientists who use mathematical models do so increasingly with the help of computers. This class will introduce you to the careful usage of software packages, such as Excel and MATLAB or Mathematica, and will teach you some elementary programming to extend the capacity of these packages. This will be done while exploring some of the mathematical problems and techniques most often encountered in engineering (and the sciences): error analysis, root finding, systems of linear equations, optimization and, prominently, ordinary and partial differential equations. Differential equations account for an amazing array of applications in the sciences and engineering, from heat conduction to bridge building, passing by the spread of epidemics and the motion of satelites. This course is a requirement for engineering majors, but all other students who have taken at least Calculus II and like the challenge of a brisk-paced math course with emphasis on applications and numerical (computing) techniques are welcome.