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Course:
Applied Engineering Math
ME EN
505

Applied Engineering Math

Hours

3.0 Credit, 3 Lecture, 0 Lab

Semester

Fall
Advanced engineering mathematics that builds a foundation for graduate mechanical engineering courses and research. Topics include tensor analysis, vector calculus, and solution methods for partial differential equations.

Notation

Use of index or tensor notation in mathematical analysis of the equations that govern continuum mechanics.

Separation of Variables

Employing separation of variables to the solution of classical (heat, Laplace, and wave equations) PDE's.

Transforms and Series

Applying Fourier transforms and series to the solution of PDE's and analysis of data.

Superposition

Applying the principle of superposition to PDE's with nonhomogeneities.

Cartesian and Cylindrical Coordinates

Solution of PDE's in Cartesian and Cylindrical coordinates.