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SYLLABI FOR ELECTRONICS & COMMUNICATION
ECE DEPTT.
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MATHEMATICS-III:-
  • Unit - I : Integral Transforms

    Fourier integral, Fourier complex transform, Fourier sine and cosine transforms and applications to simple heat transfer equations.
    Z transform and its application to solve difference equations.
  • Unit - II : Functions of a Complex Variable - I

    Analytic functions, C-R equations and harmonic functions, Line integral in the complex plane, Cauchy's integral theorem, Cauchy's integral formula for derivatives of analytic functions, Liouvilles theorem, Fundamental theorem of algebra.
  • Unit - III : Functions of a Complex Variable - II

    Representation of a function by power series, Taylor's and Laurent's series, Singularities, zeroes and poles, Residue theorem, evaluation of real integrals of type f (cosq, sinq) dq and f (x) dx, Conformal mapping and bilinear transformations

  • Unit - IV : Statistics and Probability

    Moments, Moment generating functions, Skewness, Kurtosis,Correlation and Regression, Binomial distribution, Poisson distribution, Normal distribution.

  • Unit - V : Curve Fitting and Solution of Equations

    Method of least squares and curve fitting of straight line and parabola, Solution of cubic and bi-quadratic equations