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Dec 26, 2024
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2020-2021 Undergraduate Catalog [ARCHIVED CATALOG]
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MATH 435 - Partial Differential Equations with Applications
Credit Hours: 3
Lecture Hours: 3
Lab Hours: 0
A course containing the following topics: first order partial differential equations; the wave equation; the diffusion equation; the Laplace equation; d’Alembert’s solution; Duhamel’s principle; the classification of partial differential equations; elliptic, parabolic, and hyperbolic partial differential equations; Stability theory; energy conservation; Sturm-Liouville problems; Fourier series; integral transforms; Laplace transforms; Greens’s functions; and variational methods. Applications in medicine, engineering, meteorology, and industry will be discussed. Mathematical software such as ACSL, Maple, and Mathematica will be used.
Prerequisite: MATH 242 and MATH 331
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