JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY ANANTAPUR

COMPLEX VARIABLES, TRANSFORMS & PARTIAL DIFFERENTIAL

B.Tech – II-I Sem Common to MECH & CIVIL

Understand functions of Complex variable and its properties.

        Find derivatives of complex functions.

        Understand the analyticity of complex functions .

        Understand the conformal mappings of complex functions.

        Understand the integration of complex functions.

        Apply Cauchy’s integral theorem and Cauchy’s integral formula.

        Understand singularities of complex functions.

        Evaluate improper integrals of complex functions using Residue theorem.

Understand  the  concept  of  Laplace  transforms  and  find  the  Laplace  transforms  of elementary functions.

        Find the Laplace transforms of general functions using its properties.

    Understand Laplace transforms of special functions(Unit step function, Unit Impulse & Periodic).

        Apply Laplace transforms to solve Differential Equations.

Understand finding Fourier series expression of the given function.

    Determine Fourier coefficients (Euler’s) and identify existence of fourier series of the given function.

        Expand the given function in Fourier series given in Half range interval.

        Apply Fourier series to establish Identities among Euler coefficients.

        Find Fourier series of wave forms.