# Applied Mathematics – II

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UnitaIComplex Numbers: Cartesian, Polar a Exponential form, De-Moivre's theorem, Hyperbolic functions, Logarithms of Complex numbers Unit-IIComplex Variables : Cauchy Riemann Equations, , Conformal Mapping and Bilinear Mapping, concept of Line Integral, Riemann Integral, Singularities aPoles, Evaluation of Residues theorem.UnitaIIILaplace Transform: Introduction, Definition, Properties of Laplace Transform, Laplace Transform of standard function. Inverse Laplace Transform: Inverse Laplace Transform , Methods of obtaining Inverse Laplace transform, Laplace transform of Periodic Functions, Heavyside Unit-step Function, Dirac-delta function (Unit Impulse Function), Application of Inverse Laplace transform to solve differential equations. UnitaIVDifferentiation under Integral sign, Beta and Gamma Functions, Properties and Duplication Formula, Error Functions Unit aVFourier Series: Fourier Series, Change of Interval, Even and odd functions, Half range expansions. Fourier Transform and Inverse Fourier Transform: Fourier transform of Even and Odd functions, Fourier Transform of sine and cosine functions UnitaVIIntegral Calculus: Double Integral, Area, Triple Integral, Volume References: Differential Calculus by Shanti Narayan. B. S. Grewal, aHigher Engineering Mathematics. Advanced Engineering Mathematics: R.K.Jain, S.R.K. Iyengar, Narosa Publishing House. Engineering Mathematics : T Veerajan, Tata McGraw-Hill Integral Transforms: A. R. Vasishta, Dr. R.K. Gupta, Krishna Prakashan Mandir.UnitaIComplex Numbers: Cartesian, Polar aamp; Exponential form, De-Moivrea#39;s theorem, Hyperbolic functions, Logarithms of Complex numbers Unit-IIComplex Variables : Cauchy Riemann Equations, , Conformal Mapping and Bilinear Mapping, concept of ...

 Title : Applied Mathematics – II Author : Booksmart Publisher : Booksmart - 2014-10-20