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Courses

  • Harmonic Analysis (90916)
    • תקציר הקורס:

    Abstract:

    Fourier series: expansion to Fourier series on a finite interval,

    Fourier coefficients. Complex representation of Fourier series,

    the convergence of the series, Dirichlet func tion,

    convergence in a jump discontinuity. Gibbs phenomena.

    Parseval’s identity. Differentiation and integration of Fourier series.

    Fourier transform, definition, properties and the transform table.

    Applications of Fourier transform in signal processing and

    in solutions of differential equations. Laplace transform and its applications

    in solving ordinary differential equations.

    Solution in cases where the forcing term is a step func tion or a delta func tion.
  • Complex Functions (90917)
    • תקציר הקורס:

    Abstract:

    Complex integration : Contour Integrals. Residue theory.

    Cauchy’s Residue Theorem and its applications: evaluation of integrals.