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Summary Course Description:
This course highlights several key analytical and computational techniques from the field of applied engineering mathematics. The primary focus is on the solution of ordinary and partial differential equations using both analytical and numerical methods. Selected topics from introductory differential equations and linear algebra are reviewed briefly. General solution methods for IVPs and BVPs are then treated with both analytical methods (where possible) and numerical techniques. Power series solution methods, special functions, orthogonality, the Sturm-Liouville problem, and generalized Fourier series are then discussed as tools for advanced analysis. Analytical solution of PDEs via the separation of variables method and the numerical solution of PDEs via the finite difference method are highlighted. Considerable computer work using the Matlab and COMSOL packages is required.
Last Taught: The last time I taught this course was during Fall 2015.
Course-Related Educational Resources:
Be patient -- additional materials are coming soon...
Last updated by Prof. John R. White (February 2020)
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