UnitaIComplex 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 aPoles, Evaluation of Residues theorem.UnitaIIILaplace 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. UnitaIVDifferentiation under Integral sign, Beta and Gamma Functions, Properties and Duplication Formula, Error Functions Unit aVFourier 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 UnitaVIIntegral Calculus: Double Integral, Area, Triple Integral, Volume References: Differential Calculus by Shanti Narayan. B. S. Grewal, aHigher 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.UnitaIComplex 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 |

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