New York University 2 credits Engineering
This course presents techniques for understanding the response behavior of partial differential equations (PDEs) through studying the three basic linear PDEs that commonly appear in engineering problems; namely the Heat equation, Laplace's equation, and the Wave equation. These equations will be solved in specific situations using separation of variables and the companion methods of Fourier Series, Laplace Transform, and the Fourier Transform. Techniques for homogenizing and solving inhomogeneous PDEs will also be presented. Prerequisites: MATH-UH 1024 or MA-UY 4254 or MATH-UA 268 or MATH-SHU 262 or equivalent.
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