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Unformatted text preview: 642:527 METHODS OF APPLIED MATHEMATICS FALL 2009 Instructor : Professor Eugene Speer Hill Center 520, 732–445–2390, Extension 1313 Web: http://www.math.rutgers.edu/courses/527/527-f08/ Email: [email protected] Office hours : Monday 9:00–10:00 AM, Hill 520 Tuesday 3:20–4:40 PM, Hill 520 Thursday 9:00–10:00 AM, Hill 520 Or by appointment or chance in Hill 520 Text: Greenberg, Michael, D., Advanced Engineering Mathematics (2 nd edition). Upper Saddle River: Prentice Hall, 1998. General: This is a first semester graduate course appropriate for students in mechanical and aerospace engineering, biomedical engineering, other engineering, and physics. The topics to be covered are: solution of ordinary differential equations by power series methods (in particular, the method of Frobenius), Laplace transform methods, and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series, Fourier transforms, and Sturm-Liouville theory; solution of the linear differential equations...
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