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.