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Derivation of the various types of classical differential equations, i.e., the one-dimensional oscillator, the wave equation as the description of the vibrating string, and the potential equation. Other types of differential equations governing physical phenomena are introduced. The techniques of integral transforms, eigenfunctions, among others, used to solve the equations. Emphasis on the technique and interpetation of solutions in qualitative and quantitative terms rather than on their theoretical basis. (Offered on a tutorial basis by arrangement with the department.) |