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COMPLEX VARIABLES, TRANSFORMS & PARTIAL DIFFERENTIAL

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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.

 

 

 

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Harikrishna Magisetty

M.Sc., M. Phil

18 Years of Experience

I received my M. Sc. Mathematics from S. V. University, in the year of 2002. Having 18 years of teaching experience. I deal Engineering Mathematics–I, Mathematics–II, Mathematics–III and Probability & Statistics. and encouraging students’ effort to succeed in various aspects or things.

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