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Welcome To UPTUsuccess – Download Engineering Lecture Notes, Question Papers and Solutions, Unit – I: Function of Complex variable 8 Analytic function, C-R equations, Harmonic Functions, Cauchy’s integral theorem, Cauchy’s Integral formula, Derivatives of analytic functions, Taylor’s and Laurent’s series, Singularities, Zeroes and Poles, Residue theorem, Evaluation of real integrals of the type ò ò ¥ -¥ f (cos ,sin )d , f (x)dx 2 0 q q q p, Unit – II: Integral Transforms 8 Fourier integral, Complex Fourier transform, Inverse Transforms, Convolution Theorems, Fourier sine and cosine transform, Applications of Fourier transform to simple one dimensional heat transfer equations, wave equations and Laplace equations Z- transform and its application to solve difference equations, Unit – III: Statistical Techniques 8 Moments, Moment generating functions, Skewness, Kurtosis, Curve fitting, Method of least squares, Fitting of straight lines, Polynomials, Exponential curves, Correlation, Linear, non – linear and multiple regression analysis, Binomial, Poisson and Normal distributions, Tests of significations: Chi-square test, ttest. 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