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Course Discription |
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Calculus of variations: Euler equation, Lagrange's equations. Special functions: gamma function, beta function, error function, Legendre function, Laguerre function, Bessel function, Hermite function. Partial differential equations: in cartesian, polar, and cylindrical coordinates. Integral transforms with applications. Laplace transforms. Fourier transforms. Green’s functions. Functions of complex variables: Cauchy-Riemann condition. Residue theorem. |